Spiral vortices and Taylor vortices in the annulus between rotating cylinders and the effect of an axial flow

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 69, Issue 5, 2004, Pages 14-

  Hoffmann, Ch ^a   Lucke M ^a   Pinter, A ^a  

^a SAARLAND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85036267521     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.056309     Document Type: Article

References (32)

1. The Couette-Taylor Problem, Nonlinear Sci. TodayNSTOE40938-9008 4, 1 (1994).
2. P. Chossat and G. Iooss, The Couette-Taylor Problem (Springer, Berlin, 1994).
3. E. R. Krueger, A. Gross, and R. C. DiPrima, J. Fluid Mech.JFLSA70022-1120 24, 521 (1966).
4. H. A. Snyder, Phys. FluidsPFLDAS0031-917110.1063/1.1691991 11, 728 (1968).
5. C. D. Andereck, S. S. Liu, and H. L. Swinney, J. Fluid Mech.JFLSA70022-1120 164, 155 (1986).
6. W. F. Langford, R. Tagg, E. Kostelich, H. L. Swinney, and M. Golubitsky, Phys. FluidsPFLDAS0031-917110.1063/1.866813 31, 776 (1988).
7. R. Tagg, W. S. Edwards, H. L. Swinney, and P. S. Marcus, Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.39.3734 39, 3734 (1989).
8. W. S. Edwards, in Instability and Transition, edited by M. Y. Hussaini (Springer, Berlin, 1990), Vol. II p. 408.
9. A. Schulz and G. Pfister, in Physics of Rotating Fluids, edited by C. Eghers and G. Pfister, Lecture Notes in Physics, Vol. 549 (Springer, Berlin, 2000), p. 37;
10. A. Schulz and G. Pfister and.
11. J. Antonijoan, F. Marquès, and J. Sánchez, Phys. FluidsPHFLE61070-663110.1063/1.869606 10, 829 (1998).
12. P. Büchel, M. Lücke, D. Roth, and R. Schmitz, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.53.4764 53, 4764 (1996).
13. Th. Gebhardt and S. Crossmann, Z. Phys. B: Condens. MatterZPCMDN0722-3277 90, 475 (1993).
14. A. Meseguer and F. Marques, J. Fluid Mech.JFLSA70022-112010.1017/S0022112001007315 455, 129 (2002).
15. A. Pinter, M. Lücke, and Ch. Hoffmann, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.67.026318 67, 026318 (2003).
16. R. Raffai and P. Laure, Eur. J. Mech. B/FluidsEJBFEV0997-7546 12, 277 (1993).
17. J. B. Swift, K. L. Babcock, and P. C. Hohenberg, Physica APHYADX0378-437110.1016/0378-4371(94)90451-0 204, 625 (1994);
18. R. J. Deissler, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.49.R31 49, R31 (1994);
19. M. Lücke and A. Szprynger, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.55.5509 55, 5509 (1997).
20. K. L. Babcock, G. Ahlers, and D. S. Cannell, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.50.3670 50, 3670 (1994);
21. A. Szprynger and M. Lücke, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.67.046301 67, 046301 (2003).
22. S. T. Wereley and R. M. Lueptow, Phys. FluidsPHFLE61070-663110.1063/1.870228 11, 3637 (1999).
23. C. W. Hirt, B. D. Nichols, and N. C. Romero, SOLA—A Numerical Solution Algorithm for Transient Fluid Flow (Los Alamos Scientific Laboratory of the University of California, LA-5852, 1975).
24. R. Peyret and T. D. Taylor, Computational Methods in Fluid Flow (Springer, Berlin, 1983).
25. A. Recktenwald, M. Lücke, and H. W. Müller, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.48.4444 48, 4444 (1993).
26. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys.RMPHAT0034-686110.1103/RevModPhys.65.851 65, 851 (1993).
27. In Fig. 5(a) of Ref. the quantity labeled “axial mean flow (Formula presented)” is too small by a factor of (Formula presented).
28. Ch. Hoffmann and M. Lücke, in Physics of Rotating Fluids, Lecture Notes in Physics 459, edited by C. Egbers and G. Pfister (Springer, Berlin, 2000), p. 55.
29. W. S. Edwards, R. P. Tagg, B. C. Dornblaser, and H. L. Swinney, Eur. J. Mech. B/FluidsEJBFEV0997-7546 10, 205 (1991).
30. K. Bühler and F. Polifke, in Nonlinear Evolution of Spatio-temporal Structures in Dissipative Continuous Systems, edited by F. Busse and L. Kramer (Plenum, New York, 1990), p. 21.
31. R. M. Lueptow, A. Docter, and K. Min, Phys. Fluids APFADEB0899-821310.1063/1.858485 4, 2446 (1992).
32. A. Tsameret and V. Steinberg, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.49.4077 49, 4077 (1994).