Delaying transition in Taylor-Couette flow with axial motion of the inner cylinder

Journal of Fluid Mechanics

Volumn 348, Issue , 1997, Pages 141-151

  Weisberg, Arel Y ^a,b   Kevrekidis, Ioannis G ^a   Smits, Alexander J ^a  

^a Princeton University   (United States)

^b SciTec Inc   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AXIAL FLOW; CYLINDERS (SHAPES); FLOW VISUALIZATION; OSCILLATIONS; REYNOLDS NUMBER; TRANSITION FLOW;

TAYLOR COUETTE FLOW;

VORTEX FLOW;

EID: 0031249335     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097006630     Document Type: Article

References (34)

1. ALI, M. E. & WEIDMAN, P. D. 1993 On the linear stability of cellular spiral Couette flow. Phys. Fluids A 5, 1188-1200.
2. ANDERECK, C. D., LIU. S. S. & SWINNEY, H. L. 1986 Flow regimes in a circular Couette system with independently rotating cylinders. J. Fluid Mech. 164, 155-183.
3. BABCOCK, K. L., AHLERS, G. & CANNELL, D. S. 1991 Noise-sustained structure in Taylor-Couette flow with through flow. Phys. Rev. Lett. 67, 3388.
4. BARENGHI, C. F. & JONES, C. A. 1989 Modulated Taylor-Couette flow. J. Fluid Mech. 208, 127-160.
5. BUHLER, K., & POLIFKE, N. 1990 Dynamical behavior of Taylor vortices with superimposed axial flow. In Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems (ed. F. H. Busse & L. Kramer), pp. 21-29. Plenum Press.
6. CHANDRASEKHAR, S. 1960 The hydrodynamic stability of viscous flow between coaxial cylinders. Proc. Natl Acad. Sci., USA 46, 141-143.
7. CHUNG, K. C. & ASTILL, K. N 1977 Hydrodynamic instability of viscous flow between rotating coaxial cylinders with fully developed axial flow. J. Fluid Mech. 81, 641-655.
8. COLE, J. A. 1976 Taylor-vortex instability and annulus-length effects. J. Fluid Mech. 75, 1-15.
9. CORNISH, R. J. 1933 Flow of water through fine clearances with relative motion of the boundaries. Proc. R. Soc. Lond. A 140, 227-240.
10. DI PRIMA, R. C. 1960 The stability of a viscous fluid between rotating cylinders with an axial flow. J. Fluid Mech. 9, 621-631.
11. DI PRIMA, R. C. & SWINNEY, H. L. 1985 Instabilities and transition in flow between concentric rotating cylinders. In Hydrodynamic Instabilities and the Transition to Turbulence, 2nd edn (ed. H. L. Swinney & J. P. Gollub), pp. 139-180, Topics in Applied Physics, vol. 45. Springer.
12. DOMINGUEZ-LERMA, M. A., AHLERS, G. & CANNELL, D. S. 1985 Effects of "Kalliroscope" flow visualization particles on rotating Couette-Taylor flow. Phys. Fluids 24, 1204-1206.
13. DONNELLY, R. J. & FULTZ, D. 1960 Experiments on the stability of spiral flow between rotating cylinders. Proc. Natl Acad. Sci., USA 46, 1150-1154.
14. FAGE, E. 1938 The influence of wall oscillations, wall rotation, and entry eddies on the breakdown of laminar flow in an annular pipe. Proc. R. Soc. Lond. A 165, 513-517.
15. GOLDSTEIN, S. 1937 The stability of viscous fluid flow between rotating cylinders. Proc. Camb. Phil. Soc. 33, 41-61.
16. HU, H.-C. & KELLY, R. 1995 Effect of a time-periodic axial shear flow upon the onset of Taylor vortices. Phys. Rev. E 51, 3242-3251.
17. HUNG, W. L., JOSEPH, D. D. & MUNSON, B. R. 1972 Global stability of spiral flow. Part 2. J. Fluid Mech. 51, 593-612.
18. JOSEPH, D. D. & MUNSON, B. R. 1970 Global stability of spiral flow. J. Fluid Mech. 43, 545-575.
19. KAYE, J. & ELGAR, E. C. 1957 Modes of adiabatic and diabatic fluid flow in an annulus with an inner rotating cylinder. Trans. ASME 80, 753-765.
20. KIESSLING, I. 1963 Characteristics of turbulence in a boundary layer with zero pressure gradient. Deutsche Versuchsanstalt für Luft und Raumfahrt, Bericht 290.
21. KRUEGER, E. R. & DI PRIMA, R. C. 1964 The stability of a viscous fluid between rotating cylinders with an axial flow. J. Fluid Mech. 19, 528-538.
22. LUDWEIG, H. 1960 Stabilität der Strömung in einem zylindrischen Ringraum. Z. Flugwiss. 8, 135.
23. LUDWEIG, H. 1964 Experimented Nachprüfung der Stabilitätstheorien für reibungsfreie Strömungen mit schraubenlinienformingen Strömlinien. Z. Flugwiss. 12, 304-309.
24. LUEPTOW, R. M., DOCTER, A. & KYUNGYOON, M. 1992 Stability of axial flow in an annulus with a rotating inner cylinder. Phys. Fluids A 4, 2446-2455.
25. MARQUES, F. & 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.
26. SCHWARTZ, K. W., SPRINGETT, B. E. & DONNELLY, R. J. 1964 Modes of instability in spiral flow between rotating cylinders. J. Fluid Mech. 20, 281-289.
27. SNYDER, H. A. 1962 Experiments on the stability of spiral flow at low axial Reynolds numbers. Proc. R. Soc. Lond. A 265, 198-214.
28. TAGG, R. 1994 The Couette-Taylor problem. Nonlinear Sci. Today 4(3), 1-25.
29. TAKEUCHI, D. I. & JANKOWSKI, D. F. 1981 A numerical and experimental investigation of the stability of spiral Poiseuille flow. J. Fluid Mech. 102, 101-126.
30. TSAMERET, A., GOLDNER, G. & STEINBERG, V. 1994 Experimental evaluation of the intrinsic noise in the Couette-Taylor system with an axial flow. Phys. Rev. E 49, 1309-1319.
31. TSAMERET, A. & STEINBERG, V. 1994 Absolute and convectivc instabilities and noise-sustained structures in the Couette-Taylor system with an axial flow. Phys. Rev. E 49, 1291-1308.
32. WEDEMEYER, E. 1967 Einfluss der Zähigkeit auf die Stabilität der Strömung in einem schmalen Ringraum mit zusatzlichem, axialem Durchfluss. AVA-Bericht 67, vol. A34.
33. WEISBERG, A. Y. 1996 Control of transition in Taylor-Couette flow with axial motion of the inner cylinder. PhD thesis, Princeton University.
34. WHITE, F. M. 1991 Viscous Fluid Flow, 2nd edn. McGraw-Hill.