Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure

We consider a non-stationary Stokes system in a thin porous medium of thickness ε which is perforated by periodically distributed solid cylinders of size ε, and containing a fissure of width ηε. Passing to the limit when ε goes to zero, we find a critical size ηε ≈ ε^{2/3} in which the flow is descr...

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Detalles Bibliográficos
Autor: Anguiano Moreno, María
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2017
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/157538
Acceso en línea:https://hdl.handle.net/11441/157538
https://doi.org/10.1002/mma.4341
Access Level:acceso abierto
Palabra clave:Stokes equation
Darcy’s law
Reynolds equation
thin porous medium
fissure.
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spelling Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissureAnguiano Moreno, MaríaStokes equationDarcy’s lawReynolds equationthin porous mediumfissure.We consider a non-stationary Stokes system in a thin porous medium of thickness ε which is perforated by periodically distributed solid cylinders of size ε, and containing a fissure of width ηε. Passing to the limit when ε goes to zero, we find a critical size ηε ≈ ε^{2/3} in which the flow is described by a 2D quasi-stationary Darcy law coupled with a 1D quasi-stationary Reynolds problem.Junta de Andalucía P12- FQM-2466European Commission, Excellent Science-European Research Council (ERC) H2020-EU.1.1.-639227WileyAnálisis MatemáticoJunta de AndalucíaEuropean Research Council (ERC)2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/157538https://doi.org/10.1002/mma.4341reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésP12- FQM-2466H2020-EU.1.1.-639227https://doi.org/10.1002/mma.4341info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1575382026-06-17T12:51:07Z
dc.title.none.fl_str_mv Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
title Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
spellingShingle Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
Anguiano Moreno, María
Stokes equation
Darcy’s law
Reynolds equation
thin porous medium
fissure.
title_short Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
title_full Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
title_fullStr Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
title_full_unstemmed Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
title_sort Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
dc.creator.none.fl_str_mv Anguiano Moreno, María
author Anguiano Moreno, María
author_facet Anguiano Moreno, María
author_role author
dc.contributor.none.fl_str_mv Análisis Matemático
Junta de Andalucía
European Research Council (ERC)
dc.subject.none.fl_str_mv Stokes equation
Darcy’s law
Reynolds equation
thin porous medium
fissure.
topic Stokes equation
Darcy’s law
Reynolds equation
thin porous medium
fissure.
description We consider a non-stationary Stokes system in a thin porous medium of thickness ε which is perforated by periodically distributed solid cylinders of size ε, and containing a fissure of width ηε. Passing to the limit when ε goes to zero, we find a critical size ηε ≈ ε^{2/3} in which the flow is described by a 2D quasi-stationary Darcy law coupled with a 1D quasi-stationary Reynolds problem.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/157538
https://doi.org/10.1002/mma.4341
url https://hdl.handle.net/11441/157538
https://doi.org/10.1002/mma.4341
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv P12- FQM-2466
H2020-EU.1.1.-639227
https://doi.org/10.1002/mma.4341
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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