Quasi-periodic state and transition to turbulence in a rotating Couette system

Journal of Fluid Mechanics

Volumn 389, Issue , 1999, Pages 81-99

  Takeda, Yasushi ^a  

^a PAUL SCHERRER INSTITUTE   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; FOURIER TRANSFORMS; MODAL ANALYSIS; REYNOLDS NUMBER; TRANSITION FLOW; TURBULENT FLOW; VORTEX FLOW;

COUETTE SYSTEM; TAYLOR VORTICES;

ROTATIONAL FLOW;

EID: 0032629854     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099005091     Document Type: Article

References (32)

1. AUBRY, N., CHAUVE, M. P. & GUYONNET, R. 1994 Transition to turbulence on rotating flat disk. Phys. Fluids 6, 2804-2814.
2. BENZI, R., CILIBERTO, S., BAUDET, C. & CHAVARRIA, C. 1995 On the scaling of 3-dimensional homogeneous and isotropic turbulence. Physica D 80, 385-398.
3. BERKOOZ, G., HOLMES, P. & LUMLEY, J. L. 1993 The proper orthogonal decomposition in the analysis of turbulent flows. Ann. Rev. Fluid Mech. 25, 539-575.
4. BRANDSTATER, A. & SWINNEY, H. L. 1987 Strange attractors in weakly turbulent Couette-Taylor flow. Phys. Rev. A 35, 2207-2220.
5. BROOMHEAD, D. S. & KING, G. P. 1986 Extracting qualitative dynamics from experimental data. Physica D 20, 217-236.
6. BURKHALTER, J. E. & KOSCHMIEDER, E. L. 1973 Steady supercritical Taylor flows. J. Fluid Mech. 58, 547-560.
7. CASTAING, B., GUNARATNE, G., HESLOT, F. et al. 1989 Scaling of hard thermal turbulence in Rayleigh-Benard convection. J. Fluid. Mech. 204, 1-30.
8. CHRISTIE, S. L. & DOMARADZKI, J. A. 1993 Numerical evidence for nonuniversality of the soft/hard turbulence classification for thermal convection. Phys. Fluids A 5, 412-421.
9. COLES, D. 1965 Transition in circular Couette flow. J. Fluid Mech. 21, 385-425.
10. COUGHLIN, K. T., MARCUS, P. S., TAGG, R. P. & SWINNEY, H. L. 1991 Distinct quasiperiodic modes with like symmetry in a rotating fluid. Phys. Rev. Lett. 66, 1161-1164.
11. DI PRIMA, C. & SWINNEY, H. L. 1985 Instabilities and Transition in Flow Between Concentric Rotating Cylinders. In Hydrodynamic Instabilities and the Transition to Turbulence (ed. H. L. Swinney & J. P. Gollub), p. 139. Springer.
12. DRAZIN, P. G. & KING, G. P. 1992 Introduction to the proceedings of the workshop 'The Interpretation of Time Series from Nonlinear Mechanical System'. Physica D 58, vii-xi.
13. FENSTERMACHER, P. R., SWINNEY, H. L. & GOLLUB, J. P. 1979 Dynamical instabilities and the transition to chaotic Taylor vortex Flow. J. Fluid Mech. 94, 103-128.
14. GORMAN, M. & SWINNEY, H. L. 1979 Visual observation of the second characteristic mode in a quasiperiodic flow. Phys. Rev. Lett. 43, 1871-1874.
15. HESLOT, F., CASTAING, B. & LIBCHABER, A. 1987 Transition to turbulence in helium gas. Phys. Rev. A 36, 5870-5873.
16. KING, G. P. & SWINNEY H. L. 1983 Limits of stability and irregular flow patterns in wavy vortex flow. Phys. Rev. A 27, 1240-1243.
17. KOSCHMIEDER, E. L. 1979 Turbulent Taylor vortex flow. J. Fluid Mech. 93, 515-527.
18. KOSCHMIEDER, E. L. 1980 Transition from laminar to turbulent Taylor vortex flow. In Laminar-Turbulent Transition (ed. R. Eppler & H. Fasel) IUTAM Symposium, September 16-12, 1979 Stuttgart, Germany. Springer.
19. LATHROP, D. P., FINEBERG, J. & SWINNEY, H. L. 1992 Transition to shear-driven turbulence in Couette-Taylor flow. Phys. Rev. A 46, 6390-6405.
20. LEWIS, G. 1996 Velocity fluctuations, wall shear stress and the transition in torque scaling at R = 13,000 in turbulent Couette-Taylor flow. PhD thesis, University of Texas, Austin.
21. LUMLEY, J. L. 1967 The structure of inhomogeneous turbulent flow. In Atmospheric Turbulence and Radio Wave Propagation (ed. A. M. Yaglom & V. I. Tatarski), pp. 166-178. Moscow: Nauka.
22. LUMLEY, J. L. 1981 Coherent structures in turbulence. In Transition and Turbulence (ed. R. E. Meyer), pp. 215-242. Academic.
23. REITH, L. A. 1981 Transition to turbulence in a circular Couette system. PhD thesis, University of Texas, Austin.
24. SIROVICH, L. 1991 Empirical Eigenfunctions and Low Dimensional systems. In New Perspectives in Turbulence (ed. L. Sirovich). Springer.
25. TAKEDA, Y. 1986 Velocity profile measurement by ultrasound Doppler shift method. Intl J. Heat Fluid Flow 7, 313-318.
26. TAKEDA, Y. 1990 Development of ultrasound velocity profile monitor. Nuclear Engng Design 126, 277-284.
27. TAKEDA, Y. FISCHER, W. E. & SAKAKIBARA, J. 1993a Measurement of energy spectral density of a flow in a rotating Couette system. Phys. Rev. Lett. 70, 3569-3571.
28. TAKEDA, Y. FISCHER, W. E. & SAKAKIBARA, J. 1994 Decomposition of the modulated waves in a rotating Couette system. Science 263, 502-505.
29. TAKEDA, Y., FISCHER, W. E., SAKAKIBARA, J. & OHMURA, K. 1993b Experimental observation of the quasiperiodic modes in a rotating Couette system. Phys. Rev. E 47, 4130-4134.
30. TEUFEL, M., TRIMIS, D., LOHMULLER, A., TAKEDA, Y. & DURST, D. 1992 Determination of velocity profile in oscillating pipe-flow by using laser Doppler velocimetry and ultrasonic measuring devices. Flow Meas. Instrum. 3, 95-101.
31. WALDEN, R. W. & DONNELLY R. J. 1979 Reemergent order of chaotic circular Couette flow. Phys. Rev. Lett. 42, 301-304.
32. ZHANG, L. H. & SWINNEY, H. L. 1985 Nonpropagating oscillatory modes in Couette-Taylor flow. Phys. Rev. A 31, 1006-1009.