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Volumn 533, Issue , 2005, Pages 125-159

Elliptic instability of a co-rotating vortex pair

Author keywords

[No Author keywords available]

Indexed keywords

PERTURBATION TECHNIQUES; TURBULENT FLOW; VELOCITY MEASUREMENT;

EID: 22144462431     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112005004325     Document Type: Article
Times cited : (70)

References (53)
  • 1
    • 0001573414 scopus 로고
    • Three-dimensional instability of elliptical flow
    • Bayly, B. J. 1986 Three-dimensional instability of elliptical flow. Phys. Rev. Lett. 57, 2160-2163.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 2160-2163
    • Bayly, B.J.1
  • 3
    • 0029104416 scopus 로고
    • Characterization of the low-pressure filaments in a three-dimensional turbulent shear flow
    • Cadot, O., Douady, S. & Couder, Y. 1995 Characterization of the low-pressure filaments in a three-dimensional turbulent shear flow. Phys. Fluids 7, 630-646.
    • (1995) Phys. Fluids , vol.7 , pp. 630-646
    • Cadot, O.1    Douady, S.2    Couder, Y.3
  • 5
    • 0037464969 scopus 로고    scopus 로고
    • The physical mechanism for vortex merging
    • Cerretelli, C. & Williamson, C. H. K. 2003 The physical mechanism for vortex merging. J. Fluid Mech. 475, 41-77.
    • (2003) J. Fluid Mech. , vol.475 , pp. 41-77
    • Cerretelli, C.1    Williamson, C.H.K.2
  • 6
    • 0032667637 scopus 로고    scopus 로고
    • Dynamics of corotating vortex pairs in the wakes of flapped airfoils
    • Chen, A. L., Jacob, J. D. & Savas, Ö. 1999 Dynamics of corotating vortex pairs in the wakes of flapped airfoils. J. Fluid Mech. 378, 155-193.
    • (1999) J. Fluid Mech. , vol.378 , pp. 155-193
    • Chen, A.L.1    Jacob, J.D.2    Savas, Ö.3
  • 7
    • 0024480939 scopus 로고
    • The stability of unbounded two- and three-dimensional flows subject to body forces: Some exact solutions
    • Craik, A. D. D. 1989 The stability of unbounded two- and three-dimensional flows subject to body forces: some exact solutions. J. Fluid Mech. 198, 275-292.
    • (1989) J. Fluid Mech. , vol.198 , pp. 275-292
    • Craik, A.D.D.1
  • 8
    • 0023044792 scopus 로고
    • Evolution of wavelike disturbances in shear flow: A class of exact solutions of the Navier-Stokes equations
    • Craik, A. D. D. & Criminale, W. O. 1986 Evolution of wavelike disturbances in shear flow: a class of exact solutions of the Navier-Stokes equations. Proc. R. Soc. Lond. A 406, 275-292.
    • (1986) Proc. R. Soc. Lond. A , vol.406 , pp. 275-292
    • Craik, A.D.D.1    Criminale, W.O.2
  • 9
    • 0014892585 scopus 로고
    • Stability theory for a pair of trailing vortices
    • Crow, S. C. 1970 Stability theory for a pair of trailing vortices. AIAA J. 8, 2172-2179.
    • (1970) AIAA J. , vol.8 , pp. 2172-2179
    • Crow, S.C.1
  • 10
    • 0001483537 scopus 로고    scopus 로고
    • Flow structure produced by the interaction and merger of a pair of co-rotating wing-tip vortices
    • Devenport, W. J., Vogel, C. M. & Zsoldos, J. S. 1999 Flow structure produced by the interaction and merger of a pair of co-rotating wing-tip vortices. J. Fluid Mech. 394, 357-377.
    • (1999) J. Fluid Mech. , vol.394 , pp. 357-377
    • Devenport, W.J.1    Vogel, C.M.2    Zsoldos, J.S.3
  • 11
    • 0022113187 scopus 로고
    • The stability and energetics of corotating uniform vortices
    • Dritschel, D. G. 1985 The stability and energetics of corotating uniform vortices. J. Fluid Mech. 157, 95-134.
    • (1985) J. Fluid Mech. , vol.157 , pp. 95-134
    • Dritschel, D.G.1
  • 12
    • 0022807372 scopus 로고
    • The nonlinear evolution of rotating configurations of uniform vortices
    • Dritschel, D. G. 1986 The nonlinear evolution of rotating configurations of uniform vortices. J. Fluid Mech. 172, 157-182.
    • (1986) J. Fluid Mech. , vol.172 , pp. 157-182
    • Dritschel, D.G.1
  • 13
    • 0030441243 scopus 로고    scopus 로고
    • The instability and breakdown of tall columnar vortices in a quasi-geostrophic fluid
    • Dritschel, D. G. & De La Torre Juarez, M. 1996 The instability and breakdown of tall columnar vortices in a quasi-geostrophic fluid. J. Fluid Mech. 328, 129-160.
    • (1996) J. Fluid Mech. , vol.328 , pp. 129-160
    • Dritschel, D.G.1    De La Torre Juarez, M.2
  • 14
    • 0032627760 scopus 로고    scopus 로고
    • Three-dimensional instability of Burgers and Lamb-Oseen vortices in a strain field
    • Eloy, C. & Le Dizès, S. 1999 Three-dimensional instability of Burgers and Lamb-Oseen vortices in a strain field. J. Fluid Mech. 378, 145-166.
    • (1999) J. Fluid Mech. , vol.378 , pp. 145-166
    • Eloy, C.1    Le Dizès, S.2
  • 15
    • 0035275576 scopus 로고    scopus 로고
    • Stability of the Ramkine vortex in a multipolar strain field
    • Eloy, C. & Le Dizès, S. 2001 Stability of the Ramkine vortex in a multipolar strain field. Phys. Fluids 13, 660 676.
    • (2001) Phys. Fluids , vol.13 , pp. 660-676
    • Eloy, C.1    Le Dizès, S.2
  • 16
    • 0034300416 scopus 로고    scopus 로고
    • Experimental study of the multipolar instability
    • Eloy, C., Le Gal, P. & Le Dizès, S. 2000 Experimental study of the multipolar instability. Phys. Rev. Lett. 85, 3400-3403.
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 3400-3403
    • Eloy, C.1    Le Gal, P.2    Le Dizès, S.3
  • 17
    • 2442647525 scopus 로고    scopus 로고
    • Short-wave cooperative instabilities in representative aircraft vortices
    • Fabre, D. & Jacquin, L. 2004 Short-wave cooperative instabilities in representative aircraft vortices. Phys. Fluids 16, 2142.
    • (2004) Phys. Fluids , vol.16 , pp. 2142
    • Fabre, D.1    Jacquin, L.2
  • 19
  • 20
    • 0000880430 scopus 로고
    • Stability of a pair of co-rotating vortices
    • Jiménez, J. 1975 Stability of a pair of co-rotating vortices. Phys. fluids 18, 1580-1581.
    • (1975) Phys. Fluids , vol.18 , pp. 1580-1581
    • Jiménez, J.1
  • 22
    • 0001182260 scopus 로고
    • Spatiotemporal intermittency and instability of a forced turbulence
    • Kida, S. & Ohkitani, K. 1992 Spatiotemporal intermittency and instability of a forced turbulence. Phys Fluids A 4, 1018 1027.
    • (1992) Phys. Fluids A , vol.4 , pp. 1018-1027
    • Kida, S.1    Ohkitani, K.2
  • 23
    • 84981789306 scopus 로고
    • Über eine experimentell beobachtete Erscheinung an Wirbelringen bei ihrer translatorischen Bewegung in wirklichen Flüssigkciten
    • Krutzsch, C.-H. 1939 Über eine experimentell beobachtete Erscheinung an Wirbelringen bei ihrer translatorischen Bewegung in wirklichen Flüssigkciten. Ann. Phys. 35, 497-523.
    • (1939) Ann. Phys. , vol.35 , pp. 497-523
    • Krutzsch, C.-H.1
  • 24
    • 0023141777 scopus 로고
    • The three-dimensional instability of strained vortices in a viscous fluid
    • Landman, M. J. & Saffman, P. G. 1987 The three-dimensional instability of strained vortices in a viscous fluid. Phys. Fluids 30, 2339-2342.
    • (1987) Phys. Fluids , vol.30 , pp. 2339-2342
    • Landman, M.J.1    Saffman, P.G.2
  • 25
    • 0033941404 scopus 로고    scopus 로고
    • Non-axisymmetric vortices in two-dimensional flows
    • Le Dizès, S. 2000a Non-axisymmetric vortices in two-dimensional flows. J. fluid Mech. 406, 175-198.
    • (2000) J. Fluid Mech. , vol.406 , pp. 175-198
    • Le Dizès, S.1
  • 26
    • 0034326406 scopus 로고    scopus 로고
    • Three-dimensional instability of a multipolar vortex in a rotating flow
    • Le Dizès, S. 2000b Three-dimensional instability of a multipolar vortex in a rotating flow. Phys. Fluids 12, 2762.
    • (2000) Phys. Fluids , vol.12 , pp. 2762
    • Le Dizès, S.1
  • 27
    • 0037175662 scopus 로고    scopus 로고
    • Theoretical predictions for the elliptic instability in a two-vortex flow
    • Le Dizès, S. & Laporte F. 2002 Theoretical predictions for the elliptic instability in a two-vortex flow. J. Fluid Mech. 471, 169-201.
    • (2002) J. Fluid Mech. , vol.471 , pp. 169-201
    • Le Dizès, S.1    Laporte, F.2
  • 28
    • 0031280565 scopus 로고    scopus 로고
    • Stability of stagnation points in rotating flows
    • Leblanc, S. 1997 Stability of stagnation points in rotating flows. Phys. Fluids 9, 3566 3569.
    • (1997) Phys. Fluids , vol.9 , pp. 3566-3569
    • Leblanc, S.1
  • 29
    • 0032501944 scopus 로고    scopus 로고
    • Effects of the Coriolis force on the stability of Stuart vortices
    • Leblanc, S. & Cambon, C. 1998 Effects of the Coriolis force on the stability of Stuart vortices. J. Fluid Mech. 356, 353 379.
    • (1998) J. Fluid Mech. , vol.356 , pp. 353-379
    • Leblanc, S.1    Cambon, C.2
  • 31
    • 0032050193 scopus 로고    scopus 로고
    • Cooperative elliptic instability of a vortex pair
    • Leweke, T. & Williamson, C. H. K. 1998 Cooperative elliptic instability of a vortex pair. J. Fluid Mech. 360, 85 119.
    • (1998) J. Fluid Mech. , vol.360 , pp. 85-119
    • Leweke, T.1    Williamson, C.H.K.2
  • 32
    • 0025960023 scopus 로고
    • Local stability conditions
    • Lifschitz, A. & Hameiri, E. 1991 Local stability conditions. Phys. Fluids A 3, 2644-2651.
    • (1991) Phys. Fluids A , vol.3 , pp. 2644-2651
    • Lifschitz, A.1    Hameiri, E.2
  • 33
    • 84972865733 scopus 로고
    • An experimental study of global instabilities due to tidal (elliptical) distortion of a rotating elastic cylinder
    • Malkus, W. V. R. 1989 An experimental study of global instabilities due to tidal (elliptical) distortion of a rotating elastic cylinder. Astrophys. Fluid Dyn. 48, 123 134.
    • (1989) Astrophys. Fluid Dyn. , vol.48 , pp. 123-134
    • Malkus, W.V.R.1
  • 34
    • 0003045585 scopus 로고
    • The structure and stability of vortex rings
    • Maxworthy, T. 1972 The structure and stability of vortex rings. J. Fluid Mech. 51, 15-32.
    • (1972) J. Fluid Mech. , vol.51 , pp. 15-32
    • Maxworthy, T.1
  • 35
    • 0023344454 scopus 로고
    • Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation
    • Melander, M. V. & McWilliams, J. C. 1987 Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation. J. Fluid Mech. 178, 137-159.
    • (1987) J. Fluid Mech. , vol.178 , pp. 137-159
    • Melander, M.V.1    McWilliams, J.C.2
  • 36
    • 84972270110 scopus 로고
    • Symmetric vortex merger in two dimensions: Causes and conditions
    • Melander, M. V., Zabusky, N. J. & McWilliams, M. J. 1988 Symmetric vortex merger in two dimensions: causes and conditions. J. Fluid Mech. 195, 303 340.
    • (1988) J. Fluid Mech. , vol.195 , pp. 303-340
    • Melander, M.V.1    Zabusky, N.J.2    McWilliams, M.J.3
  • 37
    • 0003990508 scopus 로고    scopus 로고
    • Etude expérimentale de deux tourbillons corotatifs
    • PhD thesis, Université de Provence Aix-Marseille I, Marseille, France
    • Meunier, P. 2001 Etude expérimentale de deux tourbillons corotatifs. PhD thesis, Université de Provence Aix-Marseille I, Marseille, France.
    • (2001)
    • Meunier, P.1
  • 38
    • 0036677171 scopus 로고    scopus 로고
    • A merging criterion for two-dimensional co-rotating vortices
    • Meunier, P., Ehrenstein, U., Leweke, T. & Rossi, M. 2002 A merging criterion for two-dimensional co-rotating vortices. Phys. Fluids 14, 2757-2766.
    • (2002) Phys. Fluids , vol.14 , pp. 2757-2766
    • Meunier, P.1    Ehrenstein, U.2    Leweke, T.3    Rossi, M.4
  • 39
    • 22144479858 scopus 로고    scopus 로고
    • Unstable vortex merger
    • Gallery of Fluid Motion
    • Meunier, P. & Leweke, T. 2000 Unstable vortex merger. Phys. Fluids 12, S6, Gallery of Fluid Motion.
    • (2000) Phys. Fluids , vol.12
    • Meunier, P.1    Leweke, T.2
  • 40
    • 84886852818 scopus 로고    scopus 로고
    • Three-dimensional instability during vortex merging
    • Meunier, P. & Leweke, T. 2001 Three-dimensional instability during vortex merging. Phys. Fluids 13, 2747 2751.
    • (2001) Phys. Fluids , vol.13 , pp. 2747-2751
    • Meunier, P.1    Leweke, T.2
  • 41
    • 0347365801 scopus 로고    scopus 로고
    • Analysis and treatment of errors caused by high velocity gradients in PIV
    • Meunier, P. & Leweke, T. 2003 Analysis and treatment of errors caused by high velocity gradients in PIV. Exps Fluids 35, 408-421.
    • (2003) Exps. Fluids , vol.35 , pp. 408-421
    • Meunier, P.1    Leweke, T.2
  • 42
    • 0001636329 scopus 로고
    • The instability of a straight filament in a strain field
    • Moore, D. W. & Saffman, P. G. 1975b The instability of a straight filament in a strain field. Proc. R. Soc. Lond. A. 346, 413-425.
    • (1975) Proc. R. Soc. Lond. A , vol.346 , pp. 413-425
    • Moore, D.W.1    Saffman, P.G.2
  • 43
    • 0001079417 scopus 로고
    • Evolution and merger of isolated vortex structures
    • Overman, E. A. & Zabusky, N. J. 1982 Evolution and merger of isolated vortex structures. Phys. Fluids 25, 1297-1305.
    • (1982) Phys. Fluids , vol.25 , pp. 1297-1305
    • Overman, E.A.1    Zabusky, N.J.2
  • 44
    • 0000602637 scopus 로고
    • Universal short-wave instability of two-dimensional eddies in an inviscid fluid
    • Pierrehumbert, R. T 1986 Universal short-wave instability of two-dimensional eddies in an inviscid fluid. Phys. Rev. Lett. 57, 2157-2159.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 2157-2159
    • Pierrehumbert, R.T.1
  • 45
    • 0013402242 scopus 로고
    • Topics in computational fluid mechanics
    • Roberts, K. V. & Christiansen, J. P. 1972 Topics in computational fluid mechanics. Comput. Phys. Comm. (suppl.) 3, 14-32.
    • (1972) Comput. Phys. Comm. , vol.3 , Issue.SUPPL. , pp. 14-32
    • Roberts, K.V.1    Christiansen, J.P.2
  • 46
    • 6244262326 scopus 로고
    • Equilibrium of a pair of equal uniform vortices
    • Saffman, P. & Szeto, R. 1980 Equilibrium of a pair of equal uniform vcrtices. Phys. Fluids 23, 2339-2342.
    • (1980) Phys. Fluids , vol.23 , pp. 2339-2342
    • Saffman, P.1    Szeto, R.2
  • 48
    • 0028410695 scopus 로고
    • The observation of the simultaneous development of a long-and a short-wave instability mode on a vortex pair
    • Thomas, P. J. & Auerbach, D. 1994 The observation of the simultaneous development of a long-and a short-wave instability mode on a vortex pair. J. Fluid Mech. 265, 289 302.
    • (1994) J. Fluid Mech. , vol.265 , pp. 289-302
    • Thomas, P.J.1    Auerbach, D.2
  • 49
    • 18344399782 scopus 로고
    • The stability of short waves on a straight vortex filament in a weak externally imposed strain field
    • Tsai, C.-Y. & Widnall, S. E. 1976 The stability of short waves on a straight vortex filament in a weak externally imposed strain field. J. Fluid Mech. 73, 721 733.
    • (1976) J. Fluid Mech. , vol.73 , pp. 721-733
    • Tsai, C.-Y.1    Widnall, S.E.2
  • 50
    • 0026138280 scopus 로고
    • The spatial structure and statistical properties of homogeneous turbulence
    • Vincent, A. & Meneguzze M. 1991 The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225, 1-20.
    • (1991) J. Fluid Mech. , vol.225 , pp. 1-20
    • Vincent, A.1    Meneguzze, M.2
  • 51
    • 0023134073 scopus 로고
    • Experimental investigation of non-axisymmetric inertia waves in a rotating fluid
    • Vladimirov, V. A., Makarenko, V. G. & Tarasov. V. F. 1987 Experimental investigation of non-axisymmetric inertia waves in a rotating fluid. Fluid Dyn. 22, 151.
    • (1987) Fluid Dyn. , vol.22 , pp. 151
    • Vladimirov, V.A.1    Makarenko, V.G.2    Tarasov, V.F.3
  • 52
    • 36549096042 scopus 로고
    • On the three-dimensional instability of strained vortices
    • Waleffe, F. 1990 On the three-dimensional instability of strained vortices. Phys. Fluids A 2, 76.
    • (1990) Phys. Fluids A , vol.2 , pp. 76
    • Waleffe, F.1


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