Unsteadiness, instability and turbulence in trailing vortices

Comptes Rendus Physique

Volumn 6, Issue 4-5 SPEC. ISS., 2005, Pages 399-414

  Jacquin, Laurent ^a   Fabre, David ^b   Sipp, Denis ^a   Coustols, Eric ^a  

^a ONERA   (France)

^b IMFT   (France)

Author keywords

Aerodynamics; Hydrodynamic instability; Turbulence; Vortices

Indexed keywords

EID: 24144459507     PISSN: 16310705     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crhy.2005.05.007     Document Type: Short Survey

References (48)

1. P. Meunier S. Le Dizes T. Leweke Physics of vortex merging C. R. Physique 6 4-5 2005 in this issue
2. R. Paoli F. Garnier Interaction of exhaust jets and aircraft wake vortices: Small-scale dynamics and potential microphysical-chemical transformations C. R. Physique 6 4-5 2005 in this issue
3. U. Schumann Formation, properties and climatic effects of contrails C. R. Physique 6 4-5 2005 in this issue
4. P.G. Saffman Vortex Dynamics 1992 Cambridge Univ. Press Cambridge, UK
5. M. Rossi Of vortices and vortical layers: An overview, in: A. Maurel, P. Petitjeans (Eds.), Vortex Structures and Dynamics, in: Lectures in Physics 2000 Springer-Verlag Berlin/New York pp. 40-123
6. D. Fabre, D. Sipp, L. Jacquin, The Kelvin waves and the singular modes of the Lamb-Oseen vortex, J. Fluid. Mech., in press
7. M.V. Melander F. Hussain Core dynamics on a vortex column Fluid. Dyn. Res. 13 1994 1-37
8. S. Arendt D.C. Fritts O. Andreassen The initial value problem for Kelvin vortex waves J. Fluid. Mech. 244 1997 181-212
9. D. Fabre, Instabilités et instationnarités dans les tourbillons-Application aux sillages d'avions, PhD Thesis, Université de Paris 6, 2000
10. S.C. Crow Stability theory for a pair of trailing vortices AIAA Journal 8 12 1970 2172-2179
11. J.D. Crouch Instability and transient growth for two trailing vortex pairs J. Fluid Mech. 350 1997 311-330
12. D. Fabre L. Jacquin A. Loof Optimal perturbations in a four-vortex aircraft wake in counter-rotating configuration J. Fluid Mech. 451 2002 319-328
13. J.M. Ortega R.L. Bristol Ö. Savas Experimental study of the stability of unequal strength counter-rotating vortex pairs J. Fluid Mech. 474 2003 35-84
14. Ö. Savas Experimental investigations on wake vortex and its alleviation C. R. Physique 6 4-5 2005 in this issue
15. D.W. Moore P.G. Saffman Motion of a vortex filament with axial flow Proc. R. Soc. London, Ser. A 272 1972 403-429
16. C. Eloy S. Le Dizes Stability of the Rankine vortex in a multipolar strain field Phys. Fluids 13 3 2001 660-676
17. D. Sipp L. Jacquin Widnall instabilities in vortex pairs Phys. Fluids 15 7 2003 1861-1874
18. S. Le Dizes F. Laporte Theoretical prediction of the elliptic instability in two vortex flow J. Fluid Mech. 471 2002 169-201
19. P. Meunier T. Leweke Merging and three-dimensional instability in a co-rotating vortex pair A. Maurel P. Petitjeans Vortex Structure and Dynamics in: Lecture Notes in Physics vol. 555 2000 Springer-Verlag Berlin/New York 241-251
20. D. Sipp Weakly non-linear saturation of short-waves instabilities in a strained Lamb-Oseen vortex Phys. Fluids 12 7 2000 1715-1727
21. T. Leweke H.K. Williamson Cooperative elliptic instability of a vortex pair J. Fluid Mech. 360 1998 85
22. R.L. Ash M.R. Khorrami Vortex stability, in: S.I. Green (Ed.), Fluid Vortices Fluid Mechanics and its Applications vol. 30 1995 Kluwer Academic Publishers Dordrecht/Norwell, MA pp. 317-372
23. S. Leibovich K. Stewartson A sufficient condition for the instability of columnar vortices J. Fluid Mech. 126 1983 335-356
24. L. Jacquin C. Pantano On the persistence of trailing vortices J. Fluid Mech. 471 2002 159-168
25. D. Fabre L. Jacquin Viscous instabilities in trailing vortices at large swirl numbers J. Fluid Mech. 500 2004 239-262
26. W.R.C. Phillips J.A.H. Graham Reynolds stress measurements in a turbulent trailing vortex J. Fluid Mech. 47 1984 353-371
27. S. Ragab M. Sreedhar Numerical simulations of vortices with axial velocity deficit Phys. Fluids 7 1995 549-558
28. T.B. Benjamin Theory of the vortex breakdown phenomenon J. Fluid Mech. 14 4 1962 593-629
29. T.B. Benjamin Some developments in the theory of vortex breakdown J. Fluid Mech. 28 1 1967 65-84
30. F. Gallaire J.M. Chomaz Mode selection in swirling jet experiments: A linear stability analysis J. Fluid Mech. 494 2003 223-253
31. J. Délery Aspects of vortex breakdown Prog. Aerospace Sci. 30 1994 1-59
32. T. Sarkpaya, Vortex breakdown and turbulence, AIAA Paper 95-0433, in: 33rd Aerospace Sciences Meeting & Exhibit, Reno, NV, 1995
33. Z. Rusak, S. Wang, Review of theoretical approaches to the vortex breakdown phenomenon, AIAA Paper 96-2126, in: 1st AIAA Theoretical Fluid Mechanics Meeting, New Orleans, LA, 1996
34. C.Y. Tsai S.E. Widnall Examination of group-velocity criterion for breakdown of vortex flow in a divergent duct Phys. Fluids 23 5 1980 864-870
35. F. Renac, L. Jacquin, On the linear stability properties of lifting vortices over delta wings, AIAA J., submitted for publication
36. H. Moet, F. Laporte, G. Chevalier, T. Poinsot, Wave propagation in vortices and vortex bursting, Phys. Fluids 17 (2005), in press
37. L. Jacquin, S. Brunet, P. Geffroy, Experiment on heated jets/wake vortex interaction, ONERA RT 15/2496 DAFE/Y, 1998.
38. See also a report on this experiment in: F. Garnier, S. Brunet, L. Jacquin, Modelling exhaust plume mixing in the nearfield of an aircraft, Annales Geophysicae, 1997
39. D. Sipp D. Fabre S. Michelin L. Jacquin Stability of a vortex with a heavy core J. Fluid Mech. 526 2005 67-76
40. L. Coquart, D. Sipp, L. Jacquin, Mixing induced by Rayleigh-Taylor instability in a vortex, Phys. Fluids, in press
41. W.J. Devenport M.C. Rife S.I. Liaps G.J. Follin The structure and development of a wing tip vortex J. Fluid Mech. 312 1996 67-106
42. L. Jacquin D. Fabre D. Sipp H. Vollmers V. Theofilis Instability and unsteadiness of aircraft vortex wakes Aerospace Sci. Technol. 7 8 2003 577-593
43. L. Jacquin, D. Fabre, P. Geffroy, E. Coustols, The properties of a transport aircraft wake in the extended near-field, AIAA paper No 2001-1038, 2001
44. A. Antkowiak P. Brancher Transient energy growth for the Lamb-Oseen vortex Phys. Fluids 16 2004 1-4
45. K. Hünecke, C-wake, wake vortex characterisation and control, Final report, 2003
46. J. Crouch Airplane trailing vortices and their control C. R. Physique 6 4-5 2005 in this issue
47. G. Winckelmans R. Cocle L. Dufresne R. Capart Vortex methods and their application to trailing wake vortex simulations C. R. Physique 6 4-5 2005 in this issue
48. M. Czech G. Miller J. Crouch M. Strelets Predicting the near-field evolution of airplane trailing vortices C. R. Physique 6 4-5 2005 in this issue