Modulated Taylor-Couette flow: Onset of spiral modes

Theoretical and Computational Fluid Dynamics

Volumn 16, Issue 1, 2002, Pages 59-69

  Lopez, J M ^a   Marques, F ^b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036879915     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00162-002-0065-x     Document Type: Article

References (21)

1. Arnold, V.I., Afrajmovich, VS., Il'yashenko, Y.S., and Shil'nikov, L.P. (1999). Bifurcation Theory and Catastrophe Theory. Springer-Verlag, New York.
2. Barenghi, C.F. (1991). Computations of transitions and Taylor vortices in temporally modulated Taylor-Couette flow. J. Comput. Phys., 95, 175-194.
3. Barenghi, C.F., and Jones. C.A. (1989). Modulated Taylor-Couetter flow. J. Fluid Mech., 208, 127-160.
4. Canuto, C., Hussaini, M.Y., Quarteroni, A., and Zang, T.A. (1988). Spectral Methods in Fluid Dynamics. Springer-Verlag, New York.
5. Carmi, S., and Tustaniwskyj, J.I. (1981). Stability of modulated finite-gap cylindrical Couette flow: linear theory. J. Fluid Mech., 108, 19-42.
6. Chossat, P., and Iooss, G. (1994). The Couette-Taylor Problem. Springer-Verlag, New York.
7. Donnelly, R.J. (1964). Experiments on the stability of viscous flow between rotating cylinders. III, Enhancement of stability by modulation. Proc. R. Soc. London, Ser. A, 281, 130-139.
8. Donnelly, R.J., Reif, F., and Suhl, H. (1962). Enhancement of hydrodynamic stability by modulations. Phys. Rev. Lett., 9, 363-365.
9. Ganske, A., Gebhardt, T., and Grossmann, S. (1994). Modulation effects along stability border in Taylor-Couette flow. Phys. Fluids, 6, 3823-3832.
10. Hu, H.C., and Kelly, R.E. (1995). Effect of a time-periodic axial shear flow upon the onset of Taylor vortices. Phys. Rev. E, 51, 3242-3251.
11. Kuznetsov, Y.A. (1998). Elements of Applied Bifurcation Theory, second edition. Springer-Verlag, New York.
12. Marques. F., and Lopez, J.M. (1997). Taylor-Couette flow with axial oscillations of the inner cylinder: Floquet analysis of the basic flow. J. Fluid Mech., 348, 153-175.
13. Marques, F., and Lopez, J.M. (2000). Spatial and temporal resonances in a periodically forced extended system. Physica D, 136, 340-352.
14. Moser, R.D., Moin, P., and Leonard, A. (1983). A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flow. J. Comput. Phys., 52, 524-544.
15. Murray, B.T., McFadden, G.B., and Coriell, S.R. (1990). Stabilization of Taylor-Couette flow due too time-periodic outer cylinde oscillation. Phys. Fluids A, 2, 2147-2156.
16. Sinha, M. and Smits, A.J. (2000). Quasi-periodic transitions in axially forced Taylor-Couette flow. Bull. Am. Phys. Soc., 45 (9), 37.
17. Swift, J.W., and Wiesenfeld, K. (1984). Suppression of period doubling in symmetric systems. Phys. Rev. Lett., 52, 705-708.
18. Tennakoon, S.G.K., Andereck, C.D., Aouidef, A., and Normand, C. (1997). Pulsed flow between concentric rotating cylinders. Eur J. Mech. B-Fluids, 16, 227-248.
19. Walsh, T.J., and Donnelly, R.J. (1988). Taylor-Couette flow with periodically corotated and counterrotated cylinders. Phys. Rev. Lett., 60, 700-703.
20. Walsh, T.J., Wagner, W.T., and Donnelly, R.J. (1987). Stability of modulated Couette flow. Phys. Rev. Lett., 58, 2543-2546.
21. Weisberg. A.Y., Kevrekidis, I.G., and Smits, A.J. (1997). Delaying transition in Taylor-Couette flow with axial motion of the inner cylinder, J. Fluid Mech., 348, 141-151.