Streamline Topologies in Stokes Flow within Lid-Driven Cavities

Theoretical and Computational Fluid Dynamics

Volumn 17, Issue 1, 2003, Pages 19-30

  Gürcan, Fuat ^a  

^a ERCIYES UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242427548     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00162-003-0095-z     Document Type: Article

References (23)

1. Bakker, P.G. (1989). Bifurcation in Flow Patterns. Thesis, Technical University of Delft.
2. 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.
3. Burggraf, O. (1966). Analytical and numerical studies of the structure of steady separated flows. J. Fluid Mech., 24, 113-151.
4. Dallmann, U. (1988). Three-dimensional vortex structures and vorticity topology. Fluid Dyn. Res., 3, 183-192.
5. Dean, W.R. (1950). Note on the motion of liquid near a position of separation. Proc. Cambridge Philos. Soc., 46, 293-306.
6. Gaskell, PH., Lau, A.K.C., and Wright, N.G. (1988). Comparison of two solution strategies for use with higher-order discretization schemes in fluid flow simulation. Int. J. Numer. Methods. Eng., 8, 1203-1215.
7. Gaskell, PH., Savage, M.D., and Wilson, M. (1997). Flow structure in a half-filled annulus between rotating co-axial cylinders. J. Fluid Mech., 337, 263-282.
8. Gaskell, P.H., Gürcan, F., Savage, M.D., and Thompson, H.M. (1998). Stokes flow in a double-lid-driven cavity with free surface side-walls. J. Mech. Eng. Sci. C, 212(5), 387-403.
9. Gatski, T.B., Grosch, C.E., and Rose, M.E. (1982). A numerical study of the two dimensional Navier-Stokes equation in vorticity-velocity variables. J. Comput. Phys. 48, 1-22.
10. Goldstein, H. (1950). Classical Mechanics. Addison-Wesley, Reading, MA.
11. Hartnack, J.N. (1999). Streamlines topologies near a fixed wall using normal forms. Acte Mech., 136, 55-75.
12. Joseph, D.D., and Sturges, L. (1978). The convergence of biorthogonal series for biharmonic and Stokes flow edge problems: Part II. SIAM. J. Appl. Math., 34, 7-27.
13. Legendre, R. (1956). Séparation de l'écoulement laminaire tridimensionel. Reah. Aerosp., 54(3), 3-8.
14. Oswatitsch, K. (1958). Die Ablosungsbedingung von Grenzschichten. In IUTAM Symposium on Boundary Layer Resarch, 357-364. Springer-Verlag, Berlin.
15. Pan, F., and Acrivos, A. (1967). Steady flows in rectangular cavities. J. Fluid Mech., 28, 643-655.
16. Perry, A.B., and Chong, M.S. (1987). A description of eddying motions and flow pattens using critical-point concepts. Annu. Rev. Fluid Mech., 19, 125-137.
17. Robbins, C.I., and Smith, R.C.T. (1948). A table of roots of sin z = -z. Philos. Mag., 7, 39, 1005.
18. Shankar, P.N. (1993). The eddy structure in Stokes flow in a cavity. J. Fluid Mech., 250, 371-383.
19. Shankar, P.N., and Deshpande, M.N. (2000). Fluid mechanics in the driven cavity. Annu. Rev. Fluid Mech., 32, 93-136.
20. Shen, C., and Floryan J.M. (1985). Low Reynolds number flow over cavities., Phys. Fluids, 28(11), 3191-3202.
21. Smith, R.C.T. (1952). The bending of a semi-infinite strip. Aust. J. Sci. Res., 5, 227-237.
22. Sturges, L. (1986). Stokes flow in a two-dimensional cavity with moving end walls. Phys. Fluids, 29(5), 1731-1734.
23. Tobak, M., and Peake, D.J. (1982). Topology of three-dimensional separated flows. Annu. Rev. Fluid Mech., 14, 61-85.