Lubrication theory applied to the convergent flows of two stacked liquid layers
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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2011
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v296_n1_p_Gratton http://hdl.handle.net/20.500.12110/paper_17426588_v296_n1_p_Gratton |
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paper:paper_17426588_v296_n1_p_Gratton2023-06-08T16:27:17Z Lubrication theory applied to the convergent flows of two stacked liquid layers 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v296_n1_p_Gratton 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) |
| 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 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. |
| 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 |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v296_n1_p_Gratton http://hdl.handle.net/20.500.12110/paper_17426588_v296_n1_p_Gratton |
| _version_ |
1768541724270919680 |