Flow regimes in a circular Couette system with independently rotating cylinders

Journal of Fluid Mechanics

Volumn 164, Issue , 1986, Pages 155-183

  Swinney, Harry L ^c  

^a OHIO STATE UNIVERSITY   (United States)

^b TIANJIN UNIVERSITY   (China)

^c UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID MECHANICS - TESTING;

CIRCULAR COUETTE SYSTEM;

FLOW OF FLUIDS;

EID: 0022677808     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112086002513     Document Type: Article

References (44)

1. Ahlers, G., Cannell, D.S. & Dominguez-Lerma, M. A. 1983 Possible mechanism for transitions in wavy Taylor vortex flow. Phys. Rev. A 27, 1225.
2. Anderbck, C. D., Dickman, R. & Swinney, H. L. 1983 New flows in a circular Couette system with co-rotating cylinders. Phys. Fluids 26, 1395.
3. Arneodo, A., Coullet, P. H. & Spiegel, E. A. 1985 The dynamics of triple convection. Geophys. Astrophys. Fluid Dyn. (In the press.)
4. Brand, H. R., Hohenberg, P. C. & Steinberg, V. 1984 Codimension-two bifurcations for convection in binary fluid mixtures. Phys. Rev. A 30, 2548.
5. Brandstater, A., Swift, J., Swinney, H. L., Wolf, A., Farmer, J. D., Jen, E. & Crutchfield, J. P. 1983 Low dimensional chaos in a hydrodynamic system. Phys. Rev. Lett. 51, 1442.
6. Chossat, P. & Iooss, G. 1985 Primary and secondary bifurcation in the Couette-Taylor problem. Japan J. Appl. Maths 2, 37.
7. Coles, D. 1965 Transition in circular Couette flow. J. Fluid Mech. 21, 385.
8. Coles, D. & Van Atta, C. 1966 Measured distortion of a laminar circular Couette flow by end effects. J. Fluid Mech. 25, 513.
9. Couette, M. 1890 Études sur le frottement des liquides. Ann. Chim. Phys. 21, 433.
10. Demay, Y. & Iooss, G. 1984 Computation of bifurcated solutions for the Couette-Taylor problem, both cylinders rotating. J. Méc. ThMéor. Appl., num Méro. special, 193.
11. Diprima, R. C. & Swinney, H. L. 1981 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. Fasel, H. & Booz, O. 1984 Numerical investigations of supercritical Taylor vortex flow for a wide gap. J. Fluid Mech. 138, 21.
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.
14. Frisch, U. & Morf, R. 1981 Intermittency in nonlinear dynamics and singularities at complex times. Phys. Rev. A 23, 2673.
15. Golubitsky, M. & Stewart, I. 1986 Symmetry and stability in Taylor-Couette flow. SIAM J. Math. Anal. 17, (in press).
16. Gorman, M. A. & Swinney, H. L. 1982 Spatial and temporal characteristics of modulated waves in the circular Couette system. J. Fluid Mech. 117, 123.
17. Greenside, H. S., Ahlers, G., Hohenberg, P. C. & Walden, R. W. 1982 A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection. Physica 5D, 322.
18. Guckenheimer, J. 1981 On a co-dimension two bifurcation. Springer Lecture Notes in Math. 898, 99.
19. Guckenheimer, J. 1984 Multiple bifurcations of co-dimension two. SIAM J. Math. Anal. 15, 1.
20. Jones, C. A. 1982 On flow between counter-rotating cylinders. J. Fluid Mech. 120, 433.
21. King, G. P. & Swinney, H. L. 1983 Limits of stability and irregular flow patterns in wavy vortex flow. Phys. Rev. A 27, 1240.
22. King, G. P., Li, Y., Lee, W., Swinney, H. L. & Marcus, P. S. 1984 Wave speeds in wavy Taylor vortex flow. J. Fluid Mech. 141, 365.
23. Knobloch, E. & Guckenheimer, J. 1983 Convective transitions induced by a varying aspect ratio. Phys. Rev. A 27, 408.
24. Krueger, E. R., Gross, A. & Diprima, R. C. 1966 On the relative importance of Taylor-vortex and non-axisymmetric modes in flow between rotating cylinders. J. Fluid Mech. 24, 521.
25. Luckb, M., Milhelcic, M„ Wingerath, K. & Pfister, G. 1984 Flow in a small annulus between concentric cylinders. J. Fluid Mech. 140, 343.
26. Mallock, A. 1888 Determination of the viscosity of water. Proc. R. Soc. Lond. A 45, 126.
27. Mallock, A. 1896 Experiments on fluid viscosity. Phil. Trans. R. Soc. Land. A 187, 41.
28. Marcus, P. S. 1984a Simulation of Taylor-Couette flow. Part 1. Numerical methods and comparison with experiment. J. Fluid Mech. 146, 45.
29. Marcus, P. S. 1984b Simulation of Taylor-Couette flow. Part 2. Numerical results for wavy vortex flow with one travelling wave. J. Fluid Mech. 146, 65.
30. Matisse, P. & Gorman, M. 1984 Neutrally buoyant anisotropic particles for flow visualization. Phys. Fluids 27, 759.
31. Otnes, R. K. & Enochson, L. 1978 Applied Time Series Analysis. New York: Wiley.
32. Park, K. J. & Donnelly, R. J. 1981 Study of the transition to Taylor vortex flow. Phys. Rev. A 24, 2277.
33. Park, K. J., Crawford, G. L. & Donnelly, R. J. 1981 Determination of transition in Couette flow in finite geometries. Phys. Rev. Lett. 47, 1448.
34. Reith, L. A. 1981 Transition to turbulence in a circular Couette system. Ph.D. dissertation, The University of Texas.
35. Sava, U. 1985 On flow visualization using reflective flakes. J. Fluid Mech. 152, 235.
36. Shaw, R., Andereck, C. D., Reith, L. A. & Swinney, H. L. 1982 Superposition of traveling waves in the circular Couette system. Phys. Rev. Lett. 48, 1172.
37. Snyder, H. A. 1968a Stability of rotating Couette flow. I. Asymmetric waveforms. Phys. Fluids 11, 728.
38. Snyder, H. A. 1968b Stability of rotating Couette flow. II. Comparison with numerical results. Phys. Fluids 11, 1599.
39. Snyder, H. A. 1969 End effects and length effects in rotating Couette flow. Unpublished report.
40. Snyder, H. A. 1970 Waveforms in rotating Couette flow. Intl J. Non-Linear Mech. 5, 659.
41. Taylor, G. I. 1923 Stability of a viscous liquid contained between two rotating cylinders. Phil. Trans. R. Soc. Land. A 223, 289.
42. Van Atta, C. 1966 Exploratory measurements in spiral turbulence. J. Fluid Mech. 25, 495.
43. Wolf, A., Swift, J. B., Swinney, H. L. & Vastano, J. A. 1985 Determining Lyapunov exponents from a time series. Physica 16 D, 285.
44. Zhang, L. H. & Swinney, H. L. 1985 Nonpropagating oscillatory modes in Couette-Taylor flow. Phys. Rev. A 31, 1006.