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
- 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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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 http://purl.org/coar/resource_type/c_5794 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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12.623145 |