Lubrication theory applied to the convergent flows of two stacked liquid layers

Autores
Gratton, J.; Perazzo, C.A.
Año de publicación
2011
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
With the aim of describing the mountain building process, we have previously applied the lubrication approximation to obtain the evolution equations of the problem of two stacked layers of viscous fluids with different densities and different viscosities. The lubrication approximation is a perturbation method where the small parameter is the aspect ratio (thickness/lenght) of the current. This approximation is widely used to study the slow flow of one layer of a viscous fluid, but it is not well known under which conditions it can be applied in more general settings. Here we analyze in detail the assumptions needed to apply the lubrication theory to study the flow of two stacked viscous fluid layers. We employ the same perturbation method and we found that, besides the usual conditions (low Reynolds number and gentle slope), we must require that the viscosity and density ratios are of the order of unity. These requirements determine the range of validity of the equations of our model of the mountain building.
Fuente
J. Phys. Conf. Ser. 2011;296(1)
Materia
Aspect ratio
Lubrication
Reynolds number
Viscosity
Viscous flow
Different densities
Evolution equations
Low Reynolds number
Lubrication approximations
Lubrication theory
Mountain building
Perturbation method
Viscous fluid layers
Perturbation techniques
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_17426588_v296_n1_p_Gratton

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repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Lubrication theory applied to the convergent flows of two stacked liquid layersGratton, J.Perazzo, C.A.Aspect ratioLubricationReynolds numberViscosityViscous flowDifferent densitiesEvolution equationsLow Reynolds numberLubrication approximationsLubrication theoryMountain buildingPerturbation methodViscous fluid layersPerturbation techniquesWith the aim of describing the mountain building process, we have previously applied the lubrication approximation to obtain the evolution equations of the problem of two stacked layers of viscous fluids with different densities and different viscosities. The lubrication approximation is a perturbation method where the small parameter is the aspect ratio (thickness/lenght) of the current. This approximation is widely used to study the slow flow of one layer of a viscous fluid, but it is not well known under which conditions it can be applied in more general settings. Here we analyze in detail the assumptions needed to apply the lubrication theory to study the flow of two stacked viscous fluid layers. We employ the same perturbation method and we found that, besides the usual conditions (low Reynolds number and gentle slope), we must require that the viscosity and density ratios are of the order of unity. These requirements determine the range of validity of the equations of our model of the mountain building.2011info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_17426588_v296_n1_p_GrattonJ. Phys. Conf. Ser. 2011;296(1)reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-04T09:48:37Zpaperaa:paper_17426588_v296_n1_p_GrattonInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-04 09:48:38.947Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Lubrication theory applied to the convergent flows of two stacked liquid layers
title Lubrication theory applied to the convergent flows of two stacked liquid layers
spellingShingle Lubrication theory applied to the convergent flows of two stacked liquid layers
Gratton, J.
Aspect ratio
Lubrication
Reynolds number
Viscosity
Viscous flow
Different densities
Evolution equations
Low Reynolds number
Lubrication approximations
Lubrication theory
Mountain building
Perturbation method
Viscous fluid layers
Perturbation techniques
title_short Lubrication theory applied to the convergent flows of two stacked liquid layers
title_full Lubrication theory applied to the convergent flows of two stacked liquid layers
title_fullStr Lubrication theory applied to the convergent flows of two stacked liquid layers
title_full_unstemmed Lubrication theory applied to the convergent flows of two stacked liquid layers
title_sort Lubrication theory applied to the convergent flows of two stacked liquid layers
dc.creator.none.fl_str_mv Gratton, J.
Perazzo, C.A.
author Gratton, J.
author_facet Gratton, J.
Perazzo, C.A.
author_role author
author2 Perazzo, C.A.
author2_role author
dc.subject.none.fl_str_mv Aspect ratio
Lubrication
Reynolds number
Viscosity
Viscous flow
Different densities
Evolution equations
Low Reynolds number
Lubrication approximations
Lubrication theory
Mountain building
Perturbation method
Viscous fluid layers
Perturbation techniques
topic Aspect ratio
Lubrication
Reynolds number
Viscosity
Viscous flow
Different densities
Evolution equations
Low Reynolds number
Lubrication approximations
Lubrication theory
Mountain building
Perturbation method
Viscous fluid layers
Perturbation techniques
dc.description.none.fl_txt_mv With the aim of describing the mountain building process, we have previously applied the lubrication approximation to obtain the evolution equations of the problem of two stacked layers of viscous fluids with different densities and different viscosities. The lubrication approximation is a perturbation method where the small parameter is the aspect ratio (thickness/lenght) of the current. This approximation is widely used to study the slow flow of one layer of a viscous fluid, but it is not well known under which conditions it can be applied in more general settings. Here we analyze in detail the assumptions needed to apply the lubrication theory to study the flow of two stacked viscous fluid layers. We employ the same perturbation method and we found that, besides the usual conditions (low Reynolds number and gentle slope), we must require that the viscosity and density ratios are of the order of unity. These requirements determine the range of validity of the equations of our model of the mountain building.
description With the aim of describing the mountain building process, we have previously applied the lubrication approximation to obtain the evolution equations of the problem of two stacked layers of viscous fluids with different densities and different viscosities. The lubrication approximation is a perturbation method where the small parameter is the aspect ratio (thickness/lenght) of the current. This approximation is widely used to study the slow flow of one layer of a viscous fluid, but it is not well known under which conditions it can be applied in more general settings. Here we analyze in detail the assumptions needed to apply the lubrication theory to study the flow of two stacked viscous fluid layers. We employ the same perturbation method and we found that, besides the usual conditions (low Reynolds number and gentle slope), we must require that the viscosity and density ratios are of the order of unity. These requirements determine the range of validity of the equations of our model of the mountain building.
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
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info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_17426588_v296_n1_p_Gratton
url http://hdl.handle.net/20.500.12110/paper_17426588_v296_n1_p_Gratton
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv J. Phys. Conf. Ser. 2011;296(1)
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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