Artículo
Abstract:
The flow in channels with porous walls admits a similarity solution. For low values of the Reynolds number, there is one solution only, which is symmetric. At a critical value of the Reynolds number, there is a pitchfork bifurcation where two additional similarity solutions appear, both asymmetric. Ferro and Gnavi [Phys. Fluids 12 (2000) 797] in their study of the spatial stability of symmetric solutions extended this type of analysis to include general perturbations, and showed that perturbations of the symmetric solution at the entrance of the channel may grow without bound inside, destabilising the flow if the Reynolds number is high enough. The stability of the asymmetric solutions was also analysed, and it was found that these solutions also lose their spatial stability when the Reynolds number increases. In this paper the influence of a small amplitude perturbation of prescribed frequency (dithering) in the pressure gradient along the channel is evaluated, and it shown that it has a stabilising effect on the symmetric solutions. The results are interesting for their possible application to flow stabilisation in processes such as separation of a binary mixture by gaseous diffusion, and control of boundary layer separation.
Registro:
| Documento: | Artículo |
| Título: | Stabilising effects of pressure gradient dithering in channels with porous walls |
| Autor: | Gnavi, G.; Ferro, S. |
| Filiación: | Instituto de Fisica del Plasma, CONICET-FCEyN, UBA, Ciudad Universitaria, Pabellon 1, 1428 Buenos Aires, Argentina Center for Industrial Research, Córdoba 320, 1054 Buenos Aires, Argentina |
| Palabras clave: | Bifurcation (mathematics); Binary mixtures; Boundary layers; Diffusion; Navier Stokes equations; Perturbation techniques; Pressure effects; Reynolds number; Wall flow; Berman flows; Porous walls; Pressure gradient dithering; Channel flow |
| Año: | 2003 |
| Volumen: | 21 |
| Número: | 1 |
| Página de inicio: | 93 |
| Página de fin: | 97 |
| Título revista: | International Journal of Heat and Technology |
| Título revista abreviado: | Int. J. Heat Technol. |
| ISSN: | 03928764 |
| CODEN: | HETEE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p93_Gnavi |
Referencias:
- Berman, A.S., Laminar flow in channels with porous walls (1953) J. Appl. Phys., 24, pp. 1232-1235
- Proudman, I., An example of steady laminar flow at large Reynolds number (1960) J. Fluid Mech., 9, pp. 593-602
- Robinson, W.A., The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls (1987) SIAM J. Appl. Math., 10, pp. 526-533
- Sellars, J.R., Laminar flow in a channel with porous walls at high suction Reynolds number (1955) J. Appl. Phys., 26, pp. 489-490
- Terrill, R.M., Laminar flow in a uniformly porous channel (1964) Aeronaut. Quart., 15, pp. 299-310
- Yuan, S.W., Further investigation of laminar flow in a channel with porous walls (1956) J. Appl. Phys., 27, pp. 267-269
- 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, pp. 151-178
- Ferro, S., Gnavi, G., Spatial stability of similarity solutions for viscous flows in channels with porous walls (2000) Phys. Fluids, 12, pp. 797-802
- Brady, J.F., Flow development in a porous channel and tube (1984) Phys. Fluids, 27, pp. 1061-1067
- Durlofsky, L., Brady, J.F., The spatial stability of a class of similarity solutions (1984) Phys. Fluids, 27, pp. 1068-1076
- Orszag, S.A., Accurate solution of the Orr-Sommerfeld stability equation (1971) J. Fluid Mech., 50, pp. 689-703
Citas:
---------- APA ----------
Gnavi, G. & Ferro, S. (2003) . Stabilising effects of pressure gradient dithering in channels with porous walls. International Journal of Heat and Technology, 21(1), 93-97.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p93_Gnavi [ ]
---------- CHICAGO ----------
Gnavi, G., Ferro, S. "Stabilising effects of pressure gradient dithering in channels with porous walls" . International Journal of Heat and Technology 21, no. 1 (2003) : 93-97.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p93_Gnavi [ ]
---------- MLA ----------
Gnavi, G., Ferro, S. "Stabilising effects of pressure gradient dithering in channels with porous walls" . International Journal of Heat and Technology, vol. 21, no. 1, 2003, pp. 93-97.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p93_Gnavi [ ]
---------- VANCOUVER ----------
Gnavi, G., Ferro, S. Stabilising effects of pressure gradient dithering in channels with porous walls. Int. J. Heat Technol. 2003;21(1):93-97.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p93_Gnavi [ ]
