Multiplicity of steady two-dimensional flows in two-sided lid-driven cavities

Theoretical and Computational Fluid Dynamics

Volumn 14, Issue 4, 2001, Pages 223-241

  Albensoeder, S ^a   Kuhlmann, H C ^a   Rath, H J ^a  

^a UNIVERSITY OF BREMEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035530618     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001620050138     Document Type: Article

References (34)

1. Aidun, C.K., and Triantafillopoulos, N.G. (1997). High-speed blade coating. In Liquid film coating (S.F. Kistler and P.M. Schweizer, eds.), Chapter 12d, pp. 637. Chapman and Hall, London.
2. Aidun, C.K., Triantafillopoulos, N.G., and Benson, J.D. (1991). Global stability of a lid-driven cavity with throughflow: flow visualization studies. Phys. Fluids A, 3, 2081-2091.
3. Albensoeder, S., Kuhlmann, H.C., and Rath, H.J. (2001). Three-dimensional centrifugal-flow instabilities in the lid-drrven-cavity problem. Phys. Fluids (in press).
4. Alleborn, N., Raszillier, H., and Durst, F. (1999). Lid-driven cavity with heat and mass transport. Int. J. Heat Mass Transfer, 42, 833-853.
5. Benson, J.D., and Aidun, C.K. (1992). Transition to unsteady nonperiodic state in a through-flow lid-driven cavity. Phys. Fluids A, 4, 2316-2319.
6. Botella, O., and Peyret, R. (1998). Benchmark spectral results on the lid-driven cavity flow. Comput. Fluids, 27, 421-433.
7. Brøns, M., and Hartnack, J.N. (1999). Streamline topologies near simple degenerate critical points in two-dimensional flow away from boundaries. Phys. Fluids, 11, 314-324.
8. Burggraf, O.R. (1966). Analytical and numerical studies of the structure of steady separated flows. J. Fluid Mech., 24, 113-151.
9. Cao, Z., and Esmail, M.N. (1995). Numerical study on hydrodynamics of short-dwell paper coaters. AIChE J., 41, 1833-1842.
10. Deville, M., Lê, T.-H., and Morchoisne, Y. (1992). Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows. Volume 36 of Notes on Numerical Fluid Mechanics. Vieweg, Braunschweig.
11. Ferziger, J.H., and Perić, M. (1996). Computational Methods for Fluid Dynamics. Springer-Verlag, Berlin.
12. Freitas, C.J., Street, R.L., Findikakis, A.N., and Koseff, J.R. (1985). Numerical simulation of three-dimensional flow in a cavity. Int. J. Numer. Methods Fluids, 5, 561-575.
13. Gaskell, P.H., Summers, J.L., Thompson, H.M., and Savage, M.D. (1996). Creeping flow analyses of free surface cavity flows. Theoret. Comput. Fluid Dynamics, 8, 415-433.
14. Ghia, U., Ghia, K.N., and Shin, C.T. (1982). High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J. Comput. Phys., 48, 387-411.
15. Goodrich, J.W., Gustafson, K., and Halasi, K. (1990). Hopf bifurcation in the driven cavity. J. Comput. Phys., 90, 219-261.
16. Gupta, M.M., Manohar, R.P., and Noble, B. (1981). Nature of viscous flows near sharp corners. Comput. Fluids, 9, 379-388.
17. Jana, S.C., Metcalfe, G., and Ottino, J.M. (1994a). Experimental and numerical studies of mixing in complex Stokes flow: the vortex mixing flow and multicellular cavity flow. J. Fluid Mech., 269, 199-246.
18. Jana, S.C., Tjahjadi, M., and Ottino, J.M. (1994b). Chaotic mixing of viscous fluids by periodic changes in geometry: baffled cavity flow. AIChE J., 40, 1769-1781.
19. Kelmanson, M.A., and Lonsdale, B. (1996). Eddy genesis in the double-lid-driven cavity. Quart. J. Mech. Appl. Math., 49, 635-655.
20. Koseff, J.R., and Street, R.L. (1984). Visualization studies of a shear driven three-dimensional recirculating flow. J. Fluids Eng., 106, 21-29.
21. Koseff, J.R., Street, R.L., Gresho, P.M., Upson, C.D., Humphrey, J.A.C., and To, W.-M. (1983). A three-dimensional lid-driven cavity flow: experiment and simulation. In Proceedings of the 3rd International Conference on Numerical Methods in Laminar and Turbulent Flow, pp. 564-581.
22. Kuhlmann, H.C., Wanschura, M., and Rath, H.J. (1997). Flow in two-sided lid-driven cavities: non-uniqueness, instabilities, and cellular structures. J. Fluid Mech., 336, 267-299.
23. Kuhlmann, H.C., Wanschura, M., and Rath, H.J. (1998). Elliptic instability in two-sided lid-driven cavity flow. Eur. J. Mech. B/Fluids, 17, 561-569.
24. Leong, C.W., and Ottino, J.M. (1989). Experiments on mixing due to chaotic advection in a cavity. J. Fluid Mech., 209, 463-499.
25. Maull, D.J., and East, L.F. (1963). Three-dimensional flow in cavities. J. Fluid Mech., 16, 620-632.
26. Moffatt, H.K. (1964). Viscous and resistive eddies near a sharp corner. J. Fluid Mech., 18, 1-18.
27. Neary, M.D., and Stephanoff, D. (1987). Shear-layer-driven transition in a rectangular cavity. Phys. Fluids, 30, 2936-2946.
28. Pan, F., and Acrivos, A. (1967). Steady flows in rectangular cavities. J. Fluid Mech., 28, 643-655.
29. Prasad, A.K. and Koseff, J.R. (1989). Reynolds number and end-wall effects on a lid-driven cavity flow. Phys. Fluids A, 1, 208-218.
30. Ramanan, N., and Homsy, G.M. (1994). Linear stability of lid-driven cavity flow. Phys. Fluids, 8, 2690-2701.
31. Shankar, P.N. (1993). The eddy structure in Stokes flow in a cavity. J. Fluid Mech., 250, 371-383.
32. Shen, J. (1991). Hopf bifurcation of the unsteady regularized driven cavity flow. J. Comput. Phys., 95, 228-245.
33. Srinivasan, R. (1995). Accurate solutions for steady plane flow in the driven cavity. I. Stokes flow. Z. Angew. Math. Phys., 46, 524-545.
34. Triantafillopoulos, N.G., and Aidun, C.K. (1990). Relationship between flow instability in short-dwell ponds and cross directional coat weight nonuniformities. TAPPI J., 73, 127-136.