Linear stability properties of lifting vortices over delta wings

AIAA Journal

Volumn 45, Issue 8, 2007, Pages 1942-1951

  Renac, Florent ^a   Jacquin, Laurent ^a,b  

^a ONERA   (France)

^b Fundamental and Experimental Aerodynamics Department ^*

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; LINEAR SYSTEMS; SYSTEM STABILITY; VELOCITY MEASUREMENT; VORTEX FLOW;

DELTA WINGS; DOPPLER VELOCIMETRY; LEADING-EDGE VORTICES;

WINGS;

EID: 34548751091     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.25827     Document Type: Article

References (31)

1. Hall, M. G., "A Theory for the Core of a Leading-Edge Vortex," Journal of Fluid Mechanics, Vol. 11, 1961, pp. 209-228.
2. Leibovich, S., "Vortex Stability and Breakdown: Survey and Extension," AIAA Journal, Vol. 22, No. 9, 1984, pp. 1192-1206.
3. Rusak, Z., and Wang, S., "Review of Theoretical Approaches to the Vortex Breakdown Phenomenon," AIAA Paper 96-2126, 1996.
4. Mitchell, A. M., and Délery, J., "Research into Vortex Breakdown Control," Progress in Aerospace Sciences, Vol. 37, No. 4, 2001, pp. 385-418.
5. Renac, F., "Contrôle Expérimental de l'écoulement Tourbillonnaire sur une aile delta," Ph.D. Thesis, Univ. Paris VI, Paris, 2004.
6. Mitchell, A. M., "Caractérisation et Contrôle de L'Éclatement Tourbillonnaire sur une aile Delta aux Hautes Incidences," Ph.D. Thesis, Univ. Paris VI, Paris, 2000.
7. Reau, N., and Tumin, A., "Harmonic Perturbations in Turbulent Wakes," AIAA Journal, Vol. 40, No. 3, 2002, pp. 526-530.
8. Jacquin, L., and Pantano, C., "On the Persistence of Trailing Vortices," Journal of Fluid Mechanics, Vol. 471, Nov. 2002, pp. 159-168.
9. Lesen, M., Singh, P. J., and Paillet, F., "The Stability of a Trailing Line Vortex, Part 1 : Inviscid Theory," Journal of Fluid Mechanics, Vol. 63, 1974, pp. 753-763.
10. Batchelor, G. K., "Axial Flow in Trailing Line Vortices," Journal of Fluid Mechanics, Vol. 20, 1964, pp. 645-658.
11. Leibovich, S., and Stewartson, K., "A Sufficient Condition for the Instability of Columnar Vortices," Journal of Fluid Mechanics, Vol. 126, 1983, pp. 335-356.
12. Garg, A. K., and Leibovich, S., "Spectral Characteristics of Vortex Breakdown Flowfields," Physics of Fluids, Vol. 22, Nov. 1979, pp. 2053-2064.
13. Gursul, I., "Unsteady Flow Phenomena over Delta Wings at High Angle of Attack," AIAA Journal, Vol. 32, No. 2, 1994, pp. 225-231.
14. Lambourne, N. C., and Bryer, D. W., "The Bursting of Leading Edge Vortices-Some Observations and Discussion of the Phenomenon," Aeronautical Research Council, Reports and Memoranda No. 3282, London, 1961.
15. Singh, P. I., and Uberoi, M. S., "Experiments on Vortex Stability," Physics of Fluids, Vol. 19, No. 12, Dec. 1976, pp. 1858-1863.
16. Gordnier, R. E., and Visbal, M. R., "Unsteady Vortex Structure over a Delta Wing," Journal of Aircraft, Vol. 31, No. 1, 1994, pp. 243-248.
17. Benjamin, T. B., "Theory of the Vortex Breakdown Phenomenon," Journal of Fluid Mechanics, Vol. 14, 1962, pp. 593-629.
18. Tsai, C.-Y., and Widnall, S. E., "Examination of Group-Velocity Criterion for Breakdown of Vortex Flow in a Divergent Duct," Physics of Fluids, Vol. 23, May 1980, pp. 864-870.
19. Escudier, M. P., Bornstein, J., and Maxworthy, T., "The Dynamics of Confined Vortices," Proceedings of the Royal Society of London A, Vol. 382, No. 1783, 1982, pp. 335-360.
20. Ruith, M. R., Chen, P., Meiburg, E., and Maxworthy, T., "Three-Dimensional Vortex Breakdown in Swirling Jets and Wakes: Direct Numerical Simulation," Journal of Fluid Mechanics, Vol. 486, July 2003, pp. 331-378.
21. Micheli, F., Losfeld, C., and Girardot, L., "Incertitudes de Mesure sur la Variance de la Troisième Composante," 8ème Congrès Francophone de Vélocimétrie Laser, Orsay, France, Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur, Orsay, France, and Centre National de la Recherche Scientifique, Orsay, France, 2002.
22. Rockwell, D., "Three-Dimensional Flow Structure on Delta Wings at High Angle-Of-Attack: Experimental Concepts and Issues," AIAA Paper 93-0550, 1993.
23. Towfighi, J., and Rockwell, D., "Instantaneous Structure of Vortex Breakdown on a Delta Wing via Particle Image Velocimetry," AIAA Journal, Vol. 31, No. 6, 1993, pp. 1160-1162.
24. Herrada, M. A., Pérez-Saborid, M., and Barrero, A., "Nonparallel Local Spatial Stability Analysis of Pipe Entrance Swirling Flows," Physics of Fluids, Vol. 16, No. 7, 2004, pp. 2147-2153.
25. Fabre, D., and Jacquin, L., "Short-Wave Cooperative Instabilities in Representative Aircraft Vortices," Physics of Fluids, Vol. 16, No. 5, 2004, pp. 1366-1378.
26. Ludwieg, H., "Stabilität der Strömung in Einem Zylindrischen Ringraum," Zeitschrift für Flugwissenschaften, Vol. 8, No. 5, 1960, pp. 135-140.
27. Chandrasekhar, S., Hydrodynamk and Hydromagnetk Stability, Clarendon, Oxford, 1961.
28. Fabre, D., and Jacquin, L., "Viscous Instabilities in Trailing Vortices at Large Swirl Numbers," Journal of Fluid Mechanics, Vol. 500. Feb. 2004, pp. 239-262.
29. Visbal, M., and Gordnier, R., "On the Structure of the Shear Layer Emanating from a Swept Leading Edge at Angle of Attack," AIAA Paper 2003-4016, 2003.
30. Mitchell, A. M., and Molton, P., "Vortical Substructures in the Shear Layers Forming Leading-Edge Vortices." AIAA Journal, Vol. 40. No. 8, 2002, pp. 1689-1692.
31. Gallaire, F., and Chomaz, J.-M., "Mode Selection in Swirling Jet Experiments: A Linear Stability Analysis," Journal of Fluid Mechanics, Vol. 494, Nov. 2003, pp. 223-253.