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

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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 perturbat...

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Autores principales: Gratton, J., Perazzo, C.A.
Formato: Documento de conferencia publishedVersion
Lenguaje:Inglés
Publicado: 2011
Materias:
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_17426588_v296_n1_p_Gratton
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_17426588_v296_n1_p_Gratton2023-06-12T16:51:03Z Lubrication theory applied to the convergent flows of two stacked liquid layers J. Phys. Conf. Ser. 2011;296(1) Gratton, J. Perazzo, C.A. 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 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. 2011 info:eu-repo/semantics/conferenceObject info:ar-repo/semantics/documento de conferencia info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_17426588_v296_n1_p_Gratton
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
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
spellingShingle 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
Gratton, J.
Perazzo, C.A.
Lubrication theory applied to the convergent flows of two stacked liquid layers
topic_facet 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
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.
format Documento de conferencia
Documento de conferencia
publishedVersion
author Gratton, J.
Perazzo, C.A.
author_facet Gratton, J.
Perazzo, C.A.
author_sort Gratton, J.
title Lubrication theory applied to the convergent flows of two stacked liquid layers
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
publishDate 2011
url http://hdl.handle.net/20.500.12110/paper_17426588_v296_n1_p_Gratton
work_keys_str_mv AT grattonj lubricationtheoryappliedtotheconvergentflowsoftwostackedliquidlayers
AT perazzoca lubricationtheoryappliedtotheconvergentflowsoftwostackedliquidlayers
_version_ 1769810248191705088

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