Analysis of the roughness regimes for micropolar fluids via homogenization

We study the asymptotic behavior of micropolar fluid flows in a thin domain of thickness $\eta_\varepsilon$ with a periodic oscillating boundary with wavelength $\varepsilon$. We consider the limit when $\varepsilon$ tends to zero and, depending on the limit of the ratio of $\eta_\varepsilon/\vareps...

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Detalles Bibliográficos
Autor: Suárez Grau, Francisco Javier
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/162346
Acceso en línea:https://hdl.handle.net/11441/162346
https://doi.org/10.1007/s40840-020-01027-1
Access Level:acceso abierto
Palabra clave:Homogenization
micropolar fluid flow
Reynolds equation
thin-film fluid
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spelling Analysis of the roughness regimes for micropolar fluids via homogenizationSuárez Grau, Francisco JavierHomogenizationmicropolar fluid flowReynolds equationthin-film fluidWe study the asymptotic behavior of micropolar fluid flows in a thin domain of thickness $\eta_\varepsilon$ with a periodic oscillating boundary with wavelength $\varepsilon$. We consider the limit when $\varepsilon$ tends to zero and, depending on the limit of the ratio of $\eta_\varepsilon/\varepsilon$, we prove the existence of three different regimes. In each regime, we derive a generalized Reynolds equation taking into account the microstructure of the roughness.SpringerEcuaciones Diferenciales y Análisis Numérico2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/162346https://doi.org/10.1007/s40840-020-01027-1reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)Ingléshttps://doi.org/10.1007/s40840-020-01027-1info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1623462026-06-17T12:51:07Z
dc.title.none.fl_str_mv Analysis of the roughness regimes for micropolar fluids via homogenization
title Analysis of the roughness regimes for micropolar fluids via homogenization
spellingShingle Analysis of the roughness regimes for micropolar fluids via homogenization
Suárez Grau, Francisco Javier
Homogenization
micropolar fluid flow
Reynolds equation
thin-film fluid
title_short Analysis of the roughness regimes for micropolar fluids via homogenization
title_full Analysis of the roughness regimes for micropolar fluids via homogenization
title_fullStr Analysis of the roughness regimes for micropolar fluids via homogenization
title_full_unstemmed Analysis of the roughness regimes for micropolar fluids via homogenization
title_sort Analysis of the roughness regimes for micropolar fluids via homogenization
dc.creator.none.fl_str_mv Suárez Grau, Francisco Javier
author Suárez Grau, Francisco Javier
author_facet Suárez Grau, Francisco Javier
author_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
dc.subject.none.fl_str_mv Homogenization
micropolar fluid flow
Reynolds equation
thin-film fluid
topic Homogenization
micropolar fluid flow
Reynolds equation
thin-film fluid
description We study the asymptotic behavior of micropolar fluid flows in a thin domain of thickness $\eta_\varepsilon$ with a periodic oscillating boundary with wavelength $\varepsilon$. We consider the limit when $\varepsilon$ tends to zero and, depending on the limit of the ratio of $\eta_\varepsilon/\varepsilon$, we prove the existence of three different regimes. In each regime, we derive a generalized Reynolds equation taking into account the microstructure of the roughness.
publishDate 2021
dc.date.none.fl_str_mv 2021
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/11441/162346
https://doi.org/10.1007/s40840-020-01027-1
url https://hdl.handle.net/11441/162346
https://doi.org/10.1007/s40840-020-01027-1
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1007/s40840-020-01027-1
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 Springer
publisher.none.fl_str_mv Springer
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 15,811543

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