Spatial stability of similarity solutions for viscous flows in channels with porous walls

Physics of Fluids

Volumn 12, Issue 4, 2000, Pages 797-802

  Ferro, Sergio ^a   Gnavi, Graciela ^a  

^a Instituto de Fisica del Plasma Buenos Aires   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; MATHEMATICAL ANALYSIS; NAVIER-STOKES EQUATIONS; POROUS MEDIUM; VISCOUS FLOW;

EID: 0034051253     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870336     Document Type: Article

References (16)

1. A. S. Berman, "Laminar flow in channels with porous walls," J. Appl. Phys. 24, 1232 (1953).
2. R. D. Bundy and H. L. Weissberg, "Experimental study of fully developed laminar flow in a porous pipe with wall injection," Phys. Fluids 13, 2613 (1970).
3. J. R. Sellars, "Laminar flow in channels with porous walls at high suction Reynolds number," J. Appl. Phys. 26, 489 (1955).
4. S. W. Yuan, "Further investigation of laminar flow in channels with porous walls," J. Appl. Phys. 27, 267 (1956).
5. I. Proudman, "An example of steady laminar flow at large Reynolds number," J. Fluid Mech. 9, 593 (1960).
6. R. M. Terrill, "Laminar flow in a uniformly porous channel," Aeronaut. Q. 15, 299 (1964).
7. W. A. Robinson, "The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls," J. Eng. Math. 10, 23 (1976).
8. M. B. Zaturska, P. G. Drazin, and W. H. H. Banks, "On the flow of a viscous fluid driven along a channel by suction at porous walls," Fluid Dyn. Res. 4, 151 (1988).
9. S. M. Cox, "Two-dimensional flow of a viscous fluid in a channel with porous walls," J. Fluid Mech. 227, 1 (1991).
10. A. D. MacGillivray and C. Lu, "Asymptotic solution of a laminar flow in a porous channel with large suction: A nonlinear turning point problem," Meth. Appl. 1, 229 (1994).
11. S. M. Cox and A. C. King, "On the asymptotic solution of a high-order nonlinear ordinary differential equation," Proc. R. Soc. London, Ser. A 453, 711 (1997).
12. C. Lu, "On the asymptotic solution of laminar channel flow with large suction," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 28, 1113 (1997).
13. L. Durlofsky and J. F. Brady, "The spatial stability of a class of similarity solutions," Phys. Fluids 27, 1068 (1984).
14. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1988).
15. S. A. Orszag, "Accurate solution of the Orr-Sommerfeld stability equation," J. Fluid Mech. 50, 689 (1971).
16. S. Ferro, doctoral dissertation, University of Buenos Aires, 1998.