Artículo

Estamos trabajando para conseguir la versión final de este artículo
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

The influence of temperature-dependent viscosity on the flow along a channel with porous walls at different temperatures was analyzed. Numerical schemes were developed to solve the Navier-Stokes equation and the energy equation, coupled through the dependence of viscosity on temperature. Bifurcation diagrams are presented. Local analysis of the behavior of these bifurcations was also performed. The temporal and spatial stability of stationary solutions was studied by solving eigenvalue problems. The parameter space was explored and the regions where different stationary and periodic solutions appear are described. Periodic solutions obtained by solving the time-dependent problem are also presented. © 2002 American Institute of Physics.

Registro:

Documento: Artículo
Título:Effects of temperature-dependent viscosity in channels with porous walls
Autor:Ferro, S.; Gnavi, G.
Filiación:Instituto de Fisica del Plasma, Consejo Nacl. Investigaciones Tec., Departamento de Física, Buenos Aires 1428, Argentina
Palabras clave:Bifurcation (mathematics); Eigenvalues and eigenfunctions; Navier Stokes equations; Problem solving; Viscosity; Wall flow; Porous walls; Channel flow; bifurcation; channel flow; temperature; viscosity
Año:2002
Volumen:14
Número:2
Página de inicio:839
Página de fin:849
DOI: http://dx.doi.org/10.1063/1.1433969
Título revista:Physics of Fluids
Título revista abreviado:Phys. Fluids
ISSN:10706631
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v14_n2_p839_Ferro

Referencias:

  • Berman, A.S., Laminar flow in channels with porous walls (1953) J. Appl. Phys, 24, p. 1232
  • 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) Methods and Applications of Analysis, 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, 453, p. 711. , Ser. A
  • 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
  • Ferro, S., Gnavi, G., Spatial stability of similarity solutions for viscous flows in channels with porous walls (2000) Phys. Fluids, 12, p. 797
  • Raithby, G., Laminar heat transfer in the thermal entrance region of circular tubes and two-dimensional rectangular ducts with wall suction and injection (1971) Int. J. Heat Mass Transf, 14, p. 223
  • Raithby, G.D., Knudsen, D.C., Hydrodynamic development in a duct with suction and blowing (1974) J. Appl. Mech, 41, p. 896
  • Skalak, F.M., Wang, C.-Y., On the nonunique solutions of laminar flows through a porous tube or channel (1978) SIAM (Soc. Ind. Appl. Math.) J. Appl. Math, 34, p. 535
  • Rhee, S.J., Edwards, D.K., Laminar entrance flow in a flat plate duct with asymmetric suction and heating (1981) Numer. Heat Transfer, 4, p. 85
  • Sorour, M.M., Hassab, M.A., Effect of sucking the hot fluid film on the performance of flat plate solar energy collectors (1983) Appl. Energy, 14, p. 161
  • Herwig, H., Schäfer, P., Influence of variable properties on the stability of two-dimensional boundary layers (1992) J. Fluid Mech, 1, p. 243
  • Potter, M.C., Graber, E., Stability of plane Poiseuille flow with heat transfer (1972) Phys. Fluids, 15, p. 387
  • Schäfer, P., Herwig, H., Stability of plane Poiseuille flow with temperature dependent viscosity (1993) Int. J. Heat Mass Transf, 36, p. 2441
  • Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A., (1988) Spectral Methods in Fluid Dynamics, , Springer, New York
  • Stewartson, K., (1964) The Theory of Boundary Layers in Compressible Fluids, , Oxford University Press, Oxford
  • Ockendon, H., Ockendon, J.R., Variable-viscosity flows in heated and cooled channels (1977) J. Fluid Mech, 83, p. 177
  • Lin, C.-R., Chen, C.-K., Effect of temperature dependent viscosity on the flow and heat transfer over an accelerating plate (1994) J. Phys. D, 27, p. 29
  • Wylie, J.J., Lister, J.R., The effects of temperature dependent viscosity on flow in a cooled channel with application to basaltic fissure eruptions (1995) J. Fluid Mech, 305, p. 239
  • (2001) CRC Handbook of Chemistry and Physics, , 82nd ed. edited by D. R. Lide CRC Press, Boca Raton, FL
  • Dunford, N., Schwartz, J.T., (1957) Linear Operators, Part I: General Theory, , Interscience, 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. (2002) . Effects of temperature-dependent viscosity in channels with porous walls. Physics of Fluids, 14(2), 839-849.
http://dx.doi.org/10.1063/1.1433969
---------- CHICAGO ----------
Ferro, S., Gnavi, G. "Effects of temperature-dependent viscosity in channels with porous walls" . Physics of Fluids 14, no. 2 (2002) : 839-849.
http://dx.doi.org/10.1063/1.1433969
---------- MLA ----------
Ferro, S., Gnavi, G. "Effects of temperature-dependent viscosity in channels with porous walls" . Physics of Fluids, vol. 14, no. 2, 2002, pp. 839-849.
http://dx.doi.org/10.1063/1.1433969
---------- VANCOUVER ----------
Ferro, S., Gnavi, G. Effects of temperature-dependent viscosity in channels with porous walls. Phys. Fluids. 2002;14(2):839-849.
http://dx.doi.org/10.1063/1.1433969