Marangoni flow traveling with reaction fronts: Eikonal approximation

Descripción del Articulo

This work was supported by CONCYTEC (Convention No. 026-2015-FONDECYT). This work was also supported by a grant from the Dirección de Gestión de la Investigación (DGI 2016-3-0025) of the Pontificia Universidad Católica del Perú.
Detalles Bibliográficos
Autores: Guzman, R, Vasquez, DA
Formato: artículo
Fecha de Publicación:2017
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/1098
Enlace del recurso:https://hdl.handle.net/20.500.12390/1098
https://doi.org/10.1063/1.5008891
Nivel de acceso:acceso abierto
Materia:Stokes equations
Marangoni flow
autocatalysis
https://purl.org/pe-repo/ocde/ford#1.01.00
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oai_identifier_str oai:repositorio.concytec.gob.pe:20.500.12390/1098
network_acronym_str CONC
network_name_str CONCYTEC-Institucional
repository_id_str 4689
dc.title.none.fl_str_mv Marangoni flow traveling with reaction fronts: Eikonal approximation
title Marangoni flow traveling with reaction fronts: Eikonal approximation
spellingShingle Marangoni flow traveling with reaction fronts: Eikonal approximation
Guzman, R
Stokes equations
Marangoni flow
Marangoni flow
autocatalysis
autocatalysis
https://purl.org/pe-repo/ocde/ford#1.01.00
title_short Marangoni flow traveling with reaction fronts: Eikonal approximation
title_full Marangoni flow traveling with reaction fronts: Eikonal approximation
title_fullStr Marangoni flow traveling with reaction fronts: Eikonal approximation
title_full_unstemmed Marangoni flow traveling with reaction fronts: Eikonal approximation
title_sort Marangoni flow traveling with reaction fronts: Eikonal approximation
author Guzman, R
author_facet Guzman, R
Vasquez, DA
author_role author
author2 Vasquez, DA
author2_role author
dc.contributor.author.fl_str_mv Guzman, R
Vasquez, DA
dc.subject.none.fl_str_mv Stokes equations
topic Stokes equations
Marangoni flow
Marangoni flow
autocatalysis
autocatalysis
https://purl.org/pe-repo/ocde/ford#1.01.00
dc.subject.es_PE.fl_str_mv Marangoni flow
Marangoni flow
autocatalysis
autocatalysis
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.01.00
description This work was supported by CONCYTEC (Convention No. 026-2015-FONDECYT). This work was also supported by a grant from the Dirección de Gestión de la Investigación (DGI 2016-3-0025) of the Pontificia Universidad Católica del Perú.
publishDate 2017
dc.date.accessioned.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.available.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.issued.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/1098
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1063/1.5008891
dc.identifier.isi.none.fl_str_mv 414246800026
url https://hdl.handle.net/20.500.12390/1098
https://doi.org/10.1063/1.5008891
identifier_str_mv 414246800026
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv CHAOS
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv AIP
publisher.none.fl_str_mv AIP
dc.source.none.fl_str_mv reponame:CONCYTEC-Institucional
instname:Consejo Nacional de Ciencia Tecnología e Innovación
instacron:CONCYTEC
instname_str Consejo Nacional de Ciencia Tecnología e Innovación
instacron_str CONCYTEC
institution CONCYTEC
reponame_str CONCYTEC-Institucional
collection CONCYTEC-Institucional
repository.name.fl_str_mv Repositorio Institucional CONCYTEC
repository.mail.fl_str_mv repositorio@concytec.gob.pe
_version_ 1844883006739709952
spelling Publicationrp03119600rp03120600Guzman, RVasquez, DA2024-05-30T23:13:38Z2024-05-30T23:13:38Z2017https://hdl.handle.net/20.500.12390/1098https://doi.org/10.1063/1.5008891414246800026This work was supported by CONCYTEC (Convention No. 026-2015-FONDECYT). This work was also supported by a grant from the Dirección de Gestión de la Investigación (DGI 2016-3-0025) of the Pontificia Universidad Católica del Perú.Chemical reaction fronts traveling in liquids generate gradients of surface tension leading to fluid motion. This surface tension driven flow, known as Marangoni flow, modifies the shape and the speed of the reaction front. We model the front propagation using the Eikonal relation between curvature and normal speed of the front, resulting in a front evolution equation that couples to the fluid velocity. The sharp discontinuity between the reactants and products leads to a surface tension gradient proportional to a delta function. The Stokes equations with the surface tension gradient as part of the boundary conditions provide the corresponding fluid velocity field. Considering stress free boundaries at the bottom of the liquid layer, we find an analytical solution for the fluid vorticity leading to the velocity field. Solving numerically the appropriate no-slip boundary condition, we gain insights into the role of the boundary condition at the bottom layer. We compare our results with results from two other models for front propagation: the deterministic Kardar-Parisi-Zhang equation and a reaction-diffusion equation with cubic autocatalysis, finding good agreement for small differences in surface tensionConsejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - ConcytecengAIPCHAOSinfo:eu-repo/semantics/openAccessStokes equationsMarangoni flow-1Marangoni flow-1autocatalysis-1autocatalysis-1https://purl.org/pe-repo/ocde/ford#1.01.00-1Marangoni flow traveling with reaction fronts: Eikonal approximationinfo:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#20.500.12390/1098oai:repositorio.concytec.gob.pe:20.500.12390/10982024-05-30 15:36:27.355http://purl.org/coar/access_right/c_14cbinfo:eu-repo/semantics/closedAccessmetadata only accesshttps://repositorio.concytec.gob.peRepositorio Institucional CONCYTECrepositorio@concytec.gob.pe#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="9e264469-5ca1-49f5-b71c-c477715151b5"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Marangoni flow traveling with reaction fronts: Eikonal approximation</Title> <PublishedIn> <Publication> <Title>CHAOS</Title> </Publication> </PublishedIn> <PublicationDate>2017</PublicationDate> <DOI>https://doi.org/10.1063/1.5008891</DOI> <ISI-Number>414246800026</ISI-Number> <Authors> <Author> <DisplayName>Guzman, R</DisplayName> <Person id="rp03119" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Vasquez, DA</DisplayName> <Person id="rp03120" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>AIP</DisplayName> <OrgUnit /> </Publisher> </Publishers> <Keyword>Stokes equations</Keyword> <Keyword>Marangoni flow</Keyword> <Keyword>Marangoni flow</Keyword> <Keyword>autocatalysis</Keyword> <Keyword>autocatalysis</Keyword> <Abstract>Chemical reaction fronts traveling in liquids generate gradients of surface tension leading to fluid motion. This surface tension driven flow, known as Marangoni flow, modifies the shape and the speed of the reaction front. We model the front propagation using the Eikonal relation between curvature and normal speed of the front, resulting in a front evolution equation that couples to the fluid velocity. The sharp discontinuity between the reactants and products leads to a surface tension gradient proportional to a delta function. The Stokes equations with the surface tension gradient as part of the boundary conditions provide the corresponding fluid velocity field. Considering stress free boundaries at the bottom of the liquid layer, we find an analytical solution for the fluid vorticity leading to the velocity field. Solving numerically the appropriate no-slip boundary condition, we gain insights into the role of the boundary condition at the bottom layer. We compare our results with results from two other models for front propagation: the deterministic Kardar-Parisi-Zhang equation and a reaction-diffusion equation with cubic autocatalysis, finding good agreement for small differences in surface tension</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
score 13.304034
Marangoni flow traveling with reaction fronts: Eikonal approximation
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La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).

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