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 of similarity s...

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Autores principales: Ferro, Sergio P., Gnavi, Graciela Delia
Publicado: 2000
Materias:
channel flow
mathematical analysis
Navier-Stokes equations
porous medium
viscous flow
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v12_n4_p797_Ferro
http://hdl.handle.net/20.500.12110/paper_10706631_v12_n4_p797_Ferro
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10706631_v12_n4_p797_Ferro
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spelling paper:paper_10706631_v12_n4_p797_Ferro2023-06-08T16:04:27Z Spatial stability of similarity solutions for viscous flows in channels with porous walls Ferro, Sergio P. Gnavi, Graciela Delia channel flow mathematical analysis Navier-Stokes equations porous medium viscous flow 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. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v12_n4_p797_Ferro http://hdl.handle.net/20.500.12110/paper_10706631_v12_n4_p797_Ferro
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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, Sergio P.
Gnavi, Graciela Delia
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.
author Ferro, Sergio P.
Gnavi, Graciela Delia
author_facet Ferro, Sergio P.
Gnavi, Graciela Delia
author_sort Ferro, Sergio P.
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v12_n4_p797_Ferro
http://hdl.handle.net/20.500.12110/paper_10706631_v12_n4_p797_Ferro
work_keys_str_mv AT ferrosergiop spatialstabilityofsimilaritysolutionsforviscousflowsinchannelswithporouswalls
AT gnavigracieladelia spatialstabilityofsimilaritysolutionsforviscousflowsinchannelswithporouswalls
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