Experimental study of the multipolar vortex instability

Physical Review Letters

Volumn 85, Issue 16, 2000, Pages 3400-3403

  Eloy, Christophe ^a   Le Gal, Patrice ^a   Le Dizès, Stéphane ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; FLOW VISUALIZATION; FUNCTION EVALUATION; REYNOLDS NUMBER; STABILITY; TUBES (COMPONENTS); TURBULENT FLOW; VISCOSITY;

MULTIPOLAR VORTEX INSTABILITY; ROTATING DEFORMABLE CYLINDER; STREAM FUNCTION;

VORTEX FLOW;

EID: 0034300416     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.3400     Document Type: Article

References (18)

1. O. Cadot, S. Douady, and Y. Couder, Phys. Fluids 7, 630 (1995); J. Jiménez and A. A. Wray, J. Fluid Mech. 373, 255 (1998).
2. O. Cadot, S. Douady, and Y. Couder, Phys. Fluids 7, 630 (1995); J. Jiménez and A. A. Wray, J. Fluid Mech. 373, 255 (1998).
3. S. Arendt, D. C. Fritts, and Ø. Andreassen, Eur. J. Mech. B, Fluids 17, 595 (1998).
4. R. T. Pierrehumbert, Phys. Rev. Lett. 57, 2157 (1986); B. J. Bayly, Phys. Rev. Lett. 57, 2160 (1986).
5. R. T. Pierrehumbert, Phys. Rev. Lett. 57, 2157 (1986); B. J. Bayly, Phys. Rev. Lett. 57, 2160 (1986).
6. D. W. Moore and P. G. Saffman, Proc. R. Soc. London A 346, 413 (1975); C.-Y. Tsai and S. E. Widnall, J. Fluid Mech. 73, 721 (1976).
7. D. W. Moore and P. G. Saffman, Proc. R. Soc. London A 346, 413 (1975); C.-Y. Tsai and S. E. Widnall, J. Fluid Mech. 73, 721 (1976).
8. H. K. Moffatt, S. Kida, and K. Ohkitani, J. Fluid Mech. 259, 241 (1994).
9. E. B. Gledzer et al., Izv. Acad. Sci. USSR, Atmos. Oceanic Phys. 11, 617 (1975); E. B. Gledzer and V. M. Ponomarev, J. Fluid Mech. 240, 1 (1992).
10. E. B. Gledzer et al., Izv. Acad. Sci. USSR, Atmos. Oceanic Phys. 11, 617 (1975); E. B. Gledzer and V. M. Ponomarev, J. Fluid Mech. 240, 1 (1992).
11. W. V. R. Malkus, Geophys. Astrophys. Fluid Dyn. 48, 123 (1989); W. V. R. Malkus and F. A. Waleffe, in Advances in Turbulence III, edited by A. V. Johansson and P. H. Alfredsson (Springer, Berlin, 1991), pp. 197-203.
12. W. V. R. Malkus, Geophys. Astrophys. Fluid Dyn. 48, 123 (1989); W. V. R. Malkus and F. A. Waleffe, in Advances in Turbulence III, edited by A. V. Johansson and P. H. Alfredsson (Springer, Berlin, 1991), pp. 197-203.
13. G. Gauthier, P. Gondret, and M. Rabaud, Phys. Fluids 10, 2147 (1998).
14. The stream function (1) describes a flow with the largest velocities in the large curvature regions, whereas, in the experiment, velocity is uniform on the boundary. This difference is a higher order effect for small ε.
15. S. Le Dizès and C. Eloy, Phys. Fluids 11, 500 (1999).
16. C. Eloy and S. Le Dizès (to be published).
17. R. R. Kerswell, J. Fluid Mech. 382, 283 (1999); D. M. Mason and R. R. Kerswell, J. Fluid Mech. 396, 73 (1999).
18. R. R. Kerswell, J. Fluid Mech. 382, 283 (1999); D. M. Mason and R. R. Kerswell, J. Fluid Mech. 396, 73 (1999).