Taylor-Couette flow with axial oscillations of the inner cylinder: Floquet analysis of the basic flow

Journal of Fluid Mechanics

Volumn 348, Issue , 1997, Pages 153-175

  Marques, F ^a   Lopez, J M ^b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; AXIAL FLOW; BOUNDARY LAYER FLOW; CYLINDERS (SHAPES); OSCILLATIONS;

FLOQUET THEORY; TAYLOR COUETTE FLOW;

VORTEX FLOW;

EID: 0031246413     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097006058     Document Type: Article

References (22)

1. ABRAMOWITZ, M. & STEGUN, I. 1972 Handbook of Mathematical Functions. Dover.
2. ALI, M. E. & WEIDMAN, P. D. 1993 On the linear stability of cellular spiral Couette flow. Phys. Fluids A 5, 1188-1200.
3. BARENGHI, C. F. & JONES, C. A. 1989 Modulated Taylor-Couette flow. J. Fluid Mech. 208, 127-160.
4. CANUTO, C., HUSSAINI, M. Y., QUARTERONI, A. & ZANG, T. A. 1988 Spectral Methods in Fluid Dynamics. Springer.
5. CARMI, S. & TUSTANIWSKYJ, J. I. 1981 Stability of modulated finite-gap cylindrical Couette flow: linear theory. J. Fluid Mech. 108, 19-42.
6. CHOSSAT, P. & IOOSS, G. 1994 The Couette-Taylor Problem. Springer.
7. DAVIS, S. H. 1976 The stability of time-periodic flows. Ann. Rev. Fluid Mech. 8, 57-74.
8. DAVIS, S. H. & ROSENBLAT S. 1977 On bifurcating periodic solutions at low frequency. Stud. Appl. Maths 57, 59-76.
9. DONNELLY, R. J. 1964 Experiments on the stability of viscous flow between rotating cylinders. III. Enhancement of stability by modulation. Proc. R. Soc. Lond. A 281, 130-139.
10. DONNELLY, R. J., REIF, F. & SUHL, H. 1962 Enhancement of hydrodynamic stability by modulation. Phys. Rev. Lett. 9, 363-365.
11. EDWARDS, W. S., TAGG, R. P., DORNBLASER, B. C. & SWINNEY, H. L. 1991 Periodic traveling waves with nonperiodic pressure. Eur. J. Mech. B Fluids 10, 205-210.
12. GUCKENHEIMER, J. & HOLMES, P. 1986 Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer.
13. HAIRER, E. & WANNER, G. 1991 Solving Ordinary Differential Equations. II. Stiff and Differential-Algebraic Problems. Springer.
14. HU, H. C. & KELLY, R. E. 1995 Effect of a time-periodic axial shear flow upon the onset of Taylor vortices. Phys. Rev. E 51, 3242-3251.
15. ISAACSON, E. & KELLER, H. B. 1966 Analysis of Numerical Methods. John Wiley & Sons.
16. JOSEPH, D. D. 1976 Stability of Fluid Motions I. Springer.
17. KERCZEK, C. VON. & DAVIS, S. H. 1974 Einear stability theory of oscillatory Stokes layers. J. Fluid Mech. 62, 753-773.
18. MOSER, R. D., MOIN, P. & LEONARD, A. 1983 A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette Flow. J. Comput. Phys. 52, 524-544.
19. MURRAY, B. T., MCFADDEN, G. B. & CORIELL, S. R. 1990 Stabilization of Taylor-Couette flow due to time-periodic outer cylinder oscillation. Phys. Fluids A 2, 2147-2156.
20. SANCHEZ, J., CRESPO, D. & MARQUES, F. 1993 Spiral vortices between concentric cylinders. Appl. Sci. Res. 51, 55-59.
21. SWINNEY, H. L. & GOLLUB, J. P. 1985 Hydrodynamic Instabilities and the Transition to Turbulence. Springer.
22. WEISBERG, A. Y., KEVREKIDIS, I. G. & SMITS, A. J. 1997 Delaying transition in Taylor-Couette flow with axial motion of the inner cylinder. J. Fluid Mech. 348, 141-151.