Spatial stability of similarity solutions for viscous flows in channels with porous walls
The spatial stability of similarity solutions for an incompressible fluid flowing along a channel with porous walls and driven by constant uniform suction along the walls is analyzed. This work extends the results of Durlofsky and Brady [Phys. Fluids 27, 1068 (1984)] to a wider class...
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2000
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10706631_v12_n4_p797_Ferro http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v12_n4_p797_Ferro_oai |
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I28-R145-paper_10706631_v12_n4_p797_Ferro_oai2020-10-19 Ferro, S. Gnavi, G. 2000 The spatial stability of similarity solutions for an incompressible fluid flowing along a channel with porous walls and driven by constant uniform suction along the walls is analyzed. This work extends the results of Durlofsky and Brady [Phys. Fluids 27, 1068 (1984)] to a wider class of similarity solutions, and examines the spatial stability of small amplitude perturbations of arbitrary shape, generated at the entrance of the channel. It is found that antisymmetric perturbations are the best candidates to destabilize the solutions. Temporally stable asymmetric solutions with flow reversal presented by Zaturska, Drazin, and Banks [Fluid Dyn. Res. 4, 151 (1988)] are found to be spatially unstable. The perturbed similarity solutions are also compared with fully bidimensional ones obtained with a finite difference code. The results confirm the importance of similarity solutions and the validity of the stability analysis in a region whose distance to the center of the channel is more than three times the channel half-width. © 2000 American Institute of Physics. Fil:Ferro, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Gnavi, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_10706631_v12_n4_p797_Ferro info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Phys Fluids 2000;12(4):797-802 channel flow mathematical analysis Navier-Stokes equations porous medium viscous flow Spatial stability of similarity solutions for viscous flows in channels with porous walls info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v12_n4_p797_Ferro_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| topic |
channel flow mathematical analysis Navier-Stokes equations porous medium viscous flow |
| spellingShingle |
channel flow mathematical analysis Navier-Stokes equations porous medium viscous flow Ferro, S. Gnavi, G. Spatial stability of similarity solutions for viscous flows in channels with porous walls |
| topic_facet |
channel flow mathematical analysis Navier-Stokes equations porous medium viscous flow |
| description |
The spatial stability of similarity solutions for an incompressible fluid flowing along a channel with porous walls and driven by constant uniform suction along the walls is analyzed. This work extends the results of Durlofsky and Brady [Phys. Fluids 27, 1068 (1984)] to a wider class of similarity solutions, and examines the spatial stability of small amplitude perturbations of arbitrary shape, generated at the entrance of the channel. It is found that antisymmetric perturbations are the best candidates to destabilize the solutions. Temporally stable asymmetric solutions with flow reversal presented by Zaturska, Drazin, and Banks [Fluid Dyn. Res. 4, 151 (1988)] are found to be spatially unstable. The perturbed similarity solutions are also compared with fully bidimensional ones obtained with a finite difference code. The results confirm the importance of similarity solutions and the validity of the stability analysis in a region whose distance to the center of the channel is more than three times the channel half-width. © 2000 American Institute of Physics. |
| format |
Artículo Artículo publishedVersion |
| author |
Ferro, S. Gnavi, G. |
| author_facet |
Ferro, S. Gnavi, G. |
| author_sort |
Ferro, S. |
| title |
Spatial stability of similarity solutions for viscous flows in channels with porous walls |
| title_short |
Spatial stability of similarity solutions for viscous flows in channels with porous walls |
| title_full |
Spatial stability of similarity solutions for viscous flows in channels with porous walls |
| title_fullStr |
Spatial stability of similarity solutions for viscous flows in channels with porous walls |
| title_full_unstemmed |
Spatial stability of similarity solutions for viscous flows in channels with porous walls |
| title_sort |
spatial stability of similarity solutions for viscous flows in channels with porous walls |
| publishDate |
2000 |
| url |
http://hdl.handle.net/20.500.12110/paper_10706631_v12_n4_p797_Ferro http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v12_n4_p797_Ferro_oai |
| work_keys_str_mv |
AT ferros spatialstabilityofsimilaritysolutionsforviscousflowsinchannelswithporouswalls AT gnavig spatialstabilityofsimilaritysolutionsforviscousflowsinchannelswithporouswalls |
| _version_ |
1766026743546642432 |