Reversing and non-reversing modulated Taylor-Couette flow

Journal of Fluid Mechanics

Volumn 487, Issue , 2003, Pages 367-376

  Youd, Anthony J ^a   Willis, Ashley P ^a   Barenghi, Carlo F ^a  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; VELOCITY MEASUREMENT;

ANGULAR VELOCITY;

VORTEX FLOW;

COUETTE FLOW; FLUID MECHANICS; INSTABILITY; MODELING; VELOCITY; VORTEX FLOW;

EID: 0042732004     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003004828     Document Type: Article

References (24)

1. BARENGHI, C. F. 1991 Computations of transitions and Taylor vortices in temporally modulated Taylor-Couette flow. J. Comput. Phys. 95, 175 194.
2. BARENGHI, C. F. & JONES, C. A. 1989 Modulated Taylor Couette flow. J. Fluid Mech. 208, 127-160.
3. BARENGHI, C. F., PARK, K. & DONNELLY, R. J. 1980 Subharmonic destabilization of Taylor vortices near an oscillating cylinder. Phys. Lett. A 78, 152 154.
4. BHATTACHARJEE, J. K., BANERJEE, K. & KUMAR, K. 1986 Modulated Taylor-Couette flow as a dynamical system. J. Phys. A: Math. Gen. 19, L835 L839.
5. CARMI, S. & TUSTANIWSKYJ, J. I. 1981 Stability of modulated finite-gap cylindrical Couette flow: linear theory. J. Fluid Mech. 108, 19 42.
6. DONNELLY, R. J. 1964 Experiments of the stability of viscous flows between rotating cylinders. III. Enhancement of stability by modulation. Proc. R. Soc. Lond. A 781, 130-139.
7. HALL, P. 1983 On the nonlinear stability of slowly varying time-dependent viscous flows. J. Fluid Mech. 126, 357 368.
8. HOLLERBACH, R., WIENER, R. J., SULLIVAN, I. S., DONNELLY, R. J. & BARENGHI, C. F. 2002 The flow around a torsionally oscillating sphere. Phys. Fluids 14, 4192-4205.
9. HSIEH, D. Y. & CHEN, F. 1984 On a model study of Couette flow. Phys. Fluids 27, 321 322.
10. KING, G. P., LE, Y., LEE, W., SWINNEY, H. L. & MARCUS, P. S. 1984 Wave speed in wavy Taylor-vortex flow. J. Fluid Mech. 141, 365-390.
11. KUHLMANN, H., ROTH, D. & LUECKE, M. 1989 Taylor vortex flow under harmonic modulation of the driving. Phys. Rev. A 39, 745 762.
12. JONES, C. A. 1985 Numerical methods for the transition to wavy Taylor vortices. J. Comput. Phys. 61, 321-344.
13. LOPEZ, J. M. & MARQUES, F. 2001 Dynamics of three-tori in a periodically forced Navier-Stokes flow. Phys. Rev. Lett. 85, 972 975.
14. LOPEZ, J. M. & MARQUES, F. 2002 Modulated Taylor-Couette flow: Onset of spiral modes. Theor. Comput. Fluid Dyn. 16, 59 68
15. MARCUS, P. S. 1984 Simulation of Taylor vortex flow. Part 1. Numerical methods and comparison with experiment. J. Fluid Mech. 146, 45 64.
16. 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. 384, 153-175.
17. NING, L., AHLERS, G. & CANNELL, D. S. 1990 Wave-number selection and travelling vortex waves in spatially ramped Taylor Couette flow. Phys. Rev. Lett. 64, 1235 1238.
18. RILEY, P. J. & LAWRENCE, R. L. 1977 Energy stability of modulated circular Couette flow. J. Fluid Mech. 79, 535 552.
19. WALSH, T. J. & DONNELLY, R. J. 1988a Stability of modulated Couette flow. Phys. Rev. Lett. 58, 2543 2546.
20. WALSH, T. J. & DONNELLY, R. J. 1988b Stability of modulated Couette flow. Phys. Rev. Lett. 60, 700-703.
21. WIENER, R. J., DOLBY, D. C., GIBBS, G. C. & SQUIRES, B. 1999 Control of chaotic pattern dynamics in Taylor vortex flow. Phys. Rev. Lett. 83, 2340 2343.
22. WILLIS, A. P. & BARENGHI, C. F. 2002 Hydromagnetic Taylor Couette flow: numerical formulation and comparison with experiment. J. Fluid Mech. 463, 361 375.
23. ZHANG, P. 2002 Simulations of nonlinear flows in spherical system. PhD thesis, Mathematics Department, University of Exeter.
24. ZHANG, P. & ZHANG, K. 2002 Vacillation in spherical Couette flow, submitted.