Elliptic instability in a Rankine vortex with axial flow

Physics of Fluids

Volumn 17, Issue 1, 2005, Pages

  Lacaze, Laurent ^a   Birbaud, Anne Laure ^a   Le Dizès, Stéphane ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; AXIAL FLOW; RESONANCE; STRAIN RATE; VISCOSITY;

ELLIPTIC INSTABILITY; RANKINE VORTEX; RESONANT KELVIN MODES; WAVENUMBERS;

VORTEX FLOW;

AXIAL FLOW; INSTABILITY; PHYSICS; VORTEX;

EID: 19944429388     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1814987     Document Type: Article

References (17)

1. R. R. Kerswell, "Elliptical instability," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.34.081701.171829 34, 83 (2002).
2. T. Leweke and C. H. K. Williamson, "Cooperative elliptic instability of a vortex pair," J. Fluid Mech. JFLSA70022-112010.1017/S0022112097008331 360, 85 (1998).
3. P. Meunier and T. Leweke, "Three-dimensional instability during vortex merging," Phys. Fluids PHFLE61070-663110.1063/1.1399033 13, 2747 (2001).
4. D. Sipp and L. Jacquin, "Widnall instabilities in vortex pairs," Phys. Fluids PHFLE61070-663110.1063/1.1575752 15, 1861 (2003).
5. S. Le Dizès and F. Laporte, "Theoretical predictions for the elliptic instability in a two-vortex flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112002002185 471, 169 (2002).
6. D. Fabre and L. Jacquin, "Short-wave cooperative instabilities in representative aircraft vortices," Phys. Fluids PHFLE61070-663110.1063/1.168695116, 1366 (2004).
7. G. K. Batchelor, "Axial flow in trailing line vortices," J. Fluid Mech. JFLSA70022-1120 20, 645 (1964).
8. P. R. Spalart, "Airplane trailing vortices," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.30.1.107 30, 107 (1998).
9. M. Lessen, N. V. Deshpande, and B. Hadji-Ohanes, "Stability of a potential vortex with a non-rotating and rigid-body rotating top-hat jet core," J. Fluid Mech. JFLSA70022-1120 60, 459 (1973).
10. T. Loiseleux, J. Chomaz, and P. Huerre, "The effect of swirl on jets and wakes: Linear instability of the Rankine vortex with axial flow," Phys. Fluids PHFLE61070-663110.1063/1.869637 10, 1120 (1998).
11. C.-Y. Tsai and S. E. Widnall, "The stability of short waves on a straight vortex filament in a weak externally imposed strain field," J. Fluid Mech. JFLSA70022-1120 73, 721 (1976).
12. D. W. Moore and P. G. Saffman, "The instability of a straight vortex filament in a strain field," Proc. R. Soc. London, Ser. APRLAAZ1364-5021 346, 413 (1975).
13. C. Eloy and S. Le Dizès, "Stability of the Rankine vortex in a multipolar strain field," Phys. Fluids PHFLE61070-663110.1063/1.1345716 13, 660 (2001).
14. Y. Fukumoto, "The three-dimensional instability of a strained vortex tube revisited," J. Fluid Mech. JFLSA70022-112010.1017/S0022112003006025 493, 287 (2003).
15. F. Gallaire and J.-M. Chomaz, "Instability mechanisms in swirling flows," Phys. Fluids PHFLE61070-663110.1063/1.1589011 15, 2622 (2003).
16. E. W. Mayer and K. G. Powell, "Viscous and inviscid instabilities of a trailing vortex," J. Fluid Mech. JFLSA70022-1120 245, 91 (1992).
17. F. Waleffe, "On the three-dimensional instability of strained vortices," Phys. Fluids APFADEB0899-821310.1063/1.857682 2, 76 (1990).