Artículo
Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Spatial stability of similarity solutions for viscous flows in channels with porous walls |
| Autor: | Ferro, S.; Gnavi, G. |
| Filiación: | Inst. de Física del Plasma, Consejo Nac. de Invest. Cie. y Tec., Pabellón 1, 1428 Buenos Aires, Argentina |
| Palabras clave: | channel flow; mathematical analysis; Navier-Stokes equations; porous medium; viscous flow |
| Año: | 2000 |
| Volumen: | 12 |
| Número: | 4 |
| Página de inicio: | 797 |
| Página de fin: | 802 |
| DOI: | http://dx.doi.org/10.1063/1.870336 |
| Título revista: | Physics of Fluids |
| Título revista abreviado: | Phys Fluids |
| ISSN: | 10706631 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10706631_v12_n4_p797_Ferro.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v12_n4_p797_Ferro |
Referencias:
- Berman, A.S., Laminar flow in channels with porous walls (1953) J. Appl. Phys., 24, p. 1232
- Bundy, R.D., Weissberg, H.L., Experimental study of fully developed laminar flow in a porous pipe with wall injection (1970) Phys. Fluids, 13, p. 2613
- Sellars, J.R., Laminar flow in channels with porous walls at high suction Reynolds number (1955) J. Appl. Phys., 26, p. 489
- Yuan, S.W., Further investigation of laminar flow in channels with porous walls (1956) J. Appl. Phys., 27, p. 267
- Proudman, I., An example of steady laminar flow at large Reynolds number (1960) J. Fluid Mech., 9, p. 593
- Terrill, R.M., Laminar flow in a uniformly porous channel (1964) Aeronaut. Q., 15, p. 299
- Robinson, W.A., The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls (1976) J. Eng. Math., 10, p. 23
- Zaturska, M.B., Drazin, P.G., Banks, W.H.H., On the flow of a viscous fluid driven along a channel by suction at porous walls (1988) Fluid Dyn. Res., 4, p. 151
- Cox, S.M., Two-dimensional flow of a viscous fluid in a channel with porous walls (1991) J. Fluid Mech., 227, p. 1
- MacGillivray, A.D., Lu, C., Asymptotic solution of a laminar flow in a porous channel with large suction: A nonlinear turning point problem (1994) Meth. Appl., 1, p. 229
- Cox, S.M., King, A.C., On the asymptotic solution of a high-order nonlinear ordinary differential equation (1997) Proc. R. Soc. London, Ser. A, 453, p. 711
- Lu, C., On the asymptotic solution of laminar channel flow with large suction (1997) SIAM (Soc. Ind. Appl. Math.) J. Math. Anal., 28, p. 1113
- Durlofsky, L., Brady, J.F., The spatial stability of a class of similarity solutions (1984) Phys. Fluids, 27, p. 1068
- Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A., (1988) Spectral Methods in Fluid Dynamics, , Springer-Verlag, New York
- Orszag, S.A., Accurate solution of the Orr-Sommerfeld stability equation (1971) J. Fluid Mech., 50, p. 689
- Ferro, S., (1998), doctoral dissertation, University of Buenos Aires
Citas:
---------- APA ----------
Ferro, S. & Gnavi, G. (2000) . Spatial stability of similarity solutions for viscous flows in channels with porous walls. Physics of Fluids, 12(4), 797-802.http://dx.doi.org/10.1063/1.870336
---------- CHICAGO ----------
Ferro, S., Gnavi, G. "Spatial stability of similarity solutions for viscous flows in channels with porous walls" . Physics of Fluids 12, no. 4 (2000) : 797-802.http://dx.doi.org/10.1063/1.870336
---------- MLA ----------
Ferro, S., Gnavi, G. "Spatial stability of similarity solutions for viscous flows in channels with porous walls" . Physics of Fluids, vol. 12, no. 4, 2000, pp. 797-802.http://dx.doi.org/10.1063/1.870336
---------- VANCOUVER ----------
Ferro, S., Gnavi, G. Spatial stability of similarity solutions for viscous flows in channels with porous walls. Phys Fluids. 2000;12(4):797-802.http://dx.doi.org/10.1063/1.870336
