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Volumn 356, Issue , 1998, Pages 353-379

Effects of the Coriolis force on the stability of Stuart vortices

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ROTATIONAL FLOW; SHEAR FLOW; SPECTRUM ANALYSIS;

EID: 0032501944     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097007982     Document Type: Article
Times cited : (43)

References (75)
  • 1
    • 0029695832 scopus 로고    scopus 로고
    • Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids
    • BABIN, A., MAHALOV, A. & NICOLAENKO, B. 1996 Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids. Eur. J. Mech. B/Fluids 15, 291-300.
    • (1996) Eur. J. Mech. B/Fluids , vol.15 , pp. 291-300
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 3
    • 0642314219 scopus 로고
    • The effect of rapid distortion on a fluid in turbulent motion
    • BATCHELOR, G. K. & PROUDMAN, I. 1954 The effect of rapid distortion on a fluid in turbulent motion. Q. J. Mech. Appl. Maths 7, 83-103.
    • (1954) Q. J. Mech. Appl. Maths , vol.7 , pp. 83-103
    • Batchelor, G.K.1    Proudman, I.2
  • 4
    • 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
  • 5
    • 0002234683 scopus 로고
    • Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows
    • BAYLY, B. J. 1988 Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows. Phys. Fluids 31, 56-64.
    • (1988) Phys. Fluids , vol.31 , pp. 56-64
    • Bayly, B.J.1
  • 6
    • 0011554245 scopus 로고
    • Computations of broad band instabilities in a class of quasi-two-dimensional flows
    • (ed. R. E. Caflisch), Philadelphia: SIAM
    • BAYLY, B. J. 1989 Computations of broad band instabilities in a class of quasi-two-dimensional flows. In Mathematical Aspects of Vortex Dynamics (ed. R. E. Caflisch), pp. 50-58. Philadelphia: SIAM.
    • (1989) Mathematical Aspects of Vortex Dynamics , pp. 50-58
    • Bayly, B.J.1
  • 7
    • 0029656539 scopus 로고    scopus 로고
    • Three-dimensional stability of elliptical vortex columns in external strain flows
    • BAYLY, B. J., HOLM, D. D. & LIFSCHITZ, A. 1996 Three-dimensional stability of elliptical vortex columns in external strain flows. Phil. Trans. R. Soc. Lond. A 354, 895-926.
    • (1996) Phil. Trans. R. Soc. Lond. A , vol.354 , pp. 895-926
    • Bayly, B.J.1    Holm, D.D.2    Lifschitz, A.3
  • 8
  • 9
    • 0026805488 scopus 로고
    • The structure of a turbulent free shear layer in a rotating fluid
    • BIDOKHTI, A. A. & TRITTON, D. J. 1992 The structure of a turbulent free shear layer in a rotating fluid. J. Fluid Mech. 241, 469-502.
    • (1992) J. Fluid Mech. , vol.241 , pp. 469-502
    • Bidokhti, A.A.1    Tritton, D.J.2
  • 12
    • 0028668624 scopus 로고
    • Stability analysis and large eddy simulation of rotating turbulence with organized eddies
    • CAMBON, C., BENOÎT, J.-P., SHAO, L. & JACQUIN, L. 1994 Stability analysis and large eddy simulation of rotating turbulence with organized eddies. J. Fluid Mech. 278, 175-200.
    • (1994) J. Fluid Mech. , vol.278 , pp. 175-200
    • Cambon, C.1    Benoît, J.-P.2    Shao, L.3    Jacquin, L.4
  • 14
    • 0021877262 scopus 로고
    • Etude d'effets couplés de déformation et de rotation sur une turbulence homogène
    • CAMBON, C., TEISSÈDRE, C. & JEANDEL, D. 1985 Etude d'effets couplés de déformation et de rotation sur une turbulence homogène. J. Méc. Théor. Appl. 4 629-657.
    • (1985) J. Méc. Théor. Appl. , vol.4 , pp. 629-657
    • Cambon, C.1    Teissèdre, C.2    Jeandel, D.3
  • 17
    • 0028160306 scopus 로고
    • Emergence and evolution of triangular vortices
    • CARNEVALE, G. F. & KLOOSTERZIEL, R. C. 1994 Emergence and evolution of triangular vortices. J. Fluid Mech. 259, 305-331.
    • (1994) J. Fluid Mech. , vol.259 , pp. 305-331
    • Carnevale, G.F.1    Kloosterziel, R.C.2
  • 18
    • 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
  • 19
    • 0023044792 scopus 로고
    • Evolution of wavelike disturbances in shear flows: A class of exact solutions of the Navier-Stokes equations
    • CRAIK, A. D. D. & CRIMINALE, W. O. 1986 Evolution of wavelike disturbances in shear flows: a class of exact solutions of the Navier-Stokes equations. Proc. R. Soc. Lond. A 406, 13-26.
    • (1986) Proc. R. Soc. Lond. A , vol.406 , pp. 13-26
    • Craik, A.D.D.1    Criminale, W.O.2
  • 20
    • 0028888141 scopus 로고
    • Dynamics of jovian atmospheres
    • DOWLING, T. E. 1995 Dynamics of jovian atmospheres. Ann. Rev. Fluid Mech. 27, 293-334.
    • (1995) Ann. Rev. Fluid Mech. , vol.27 , pp. 293-334
    • Dowling, T.E.1
  • 22
    • 6944255117 scopus 로고
    • Instability criteria for the flow of an inviscid incompressible fluid
    • FRIEDLANDER, S. & VISHIK, M. M. 1991 Instability criteria for the flow of an inviscid incompressible fluid. Phys. Rev. Lett. 66, 2204-2206.
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 2204-2206
    • Friedlander, S.1    Vishik, M.M.2
  • 23
    • 0026808248 scopus 로고
    • Instability of bounded flows with elliptical streamlines
    • GLEDZER, E. B. & PONOMAREV, V. M. 1992 Instability of bounded flows with elliptical streamlines. J. Fluid Mech. 240, 1-30.
    • (1992) J. Fluid Mech. , vol.240 , pp. 1-30
    • Gledzer, E.B.1    Ponomarev, V.M.2
  • 25
    • 0026137771 scopus 로고
    • Laboratory experiments on the tripolar vortex in a rotating fluid
    • HEIJST, G. J. F. VAN, KLOOSTERZIEL, R. C. & WILLIAMS, C. W. M. 1991 Laboratory experiments on the tripolar vortex in a rotating fluid. J. Fluid Mech. 225, 301-322.
    • (1991) J. Fluid Mech. , vol.225 , pp. 301-322
    • Van Heijst, G.J.F.1    Kloosterziel, R.C.2    Williams, C.W.M.3
  • 26
    • 0001649068 scopus 로고
    • Bypass transition and linear growth mechanisms
    • (ed. R. Benzi), Kluwer
    • HENNINGSON, D. 1995 Bypass transition and linear growth mechanisms. In Advances in Turbulence V (ed. R. Benzi), pp. 190-204. Kluwer.
    • (1995) Advances in Turbulence V , pp. 190-204
    • Henningson, D.1
  • 27
    • 0020518641 scopus 로고
    • Secondary instability of plane channel flow to subharmonic three-dimensional disturbances
    • HERBERT, T. 1983 Secondary instability of plane channel flow to subharmonic three-dimensional disturbances. Phys. Fluids 26, 871-874.
    • (1983) Phys. Fluids , vol.26 , pp. 871-874
    • Herbert, T.1
  • 28
    • 0000746855 scopus 로고
    • Secondary instability of boundary layers
    • HERBERT, T. 1988 Secondary instability of boundary layers. Ann. Rev. Fluid Mech. 20, 487-526.
    • (1988) Ann. Rev. Fluid Mech. , vol.20 , pp. 487-526
    • Herbert, T.1
  • 30
  • 31
  • 33
    • 0000806754 scopus 로고
    • The stability of shearing motion in a rotating fluid
    • JOHNSON, J. A. 1963 The stability of shearing motion in a rotating fluid. J. Fluid Mech. 17, 337-352.
    • (1963) J. Fluid Mech. , vol.17 , pp. 337-352
    • Johnson, J.A.1
  • 34
    • 0000604812 scopus 로고
    • On the stability of an inviscid shear layer which is periodic in space and time
    • KELLY, R. E. 1967 On the stability of an inviscid shear layer which is periodic in space and time. J. Fluid Mech. 27, 657-689.
    • (1967) J. Fluid Mech. , vol.27 , pp. 657-689
    • Kelly, R.E.1
  • 35
    • 0022234205 scopus 로고
    • The onset of turbulence in finite-amplitude Kelvin Helmholtz billows
    • KLAASSEN, G. P. & PELTIER, W. R. 1985 The onset of turbulence in finite-amplitude Kelvin Helmholtz billows. J. Fluid Mech. 155, 1-35.
    • (1985) J. Fluid Mech. , vol.155 , pp. 1-35
    • Klaassen, G.P.1    Peltier, W.R.2
  • 36
    • 0024662245 scopus 로고
    • The role of transverse secondary instabilities in the evolution of free shear layers
    • KLAASSEN, G. P. & PELTIER, W. R. 1989 The role of transverse secondary instabilities in the evolution of free shear layers. J. Fluid Mech. 202, 367-402.
    • (1989) J. Fluid Mech. , vol.202 , pp. 367-402
    • Klaassen, G.P.1    Peltier, W.R.2
  • 37
    • 0026172226 scopus 로고
    • The influence of stratification on secondary instability in free shear layers
    • KLAASSEN, G. P. & PELTIER, W. R. 1991 The influence of stratification on secondary instability in free shear layers. J. Fluid Mech. 227, 71-106.
    • (1991) J. Fluid Mech. , vol.227 , pp. 71-106
    • Klaassen, G.P.1    Peltier, W.R.2
  • 39
    • 0026107155 scopus 로고
    • An experimental study of unstable barotropic vortices in a rotating fluid
    • KLOOSTERZIEL, R. C. & HEIJST, G. J. F. VAN 1991 An experimental study of unstable barotropic vortices in a rotating fluid. J. Fluid Mech. 223, 1-24.
    • (1991) J. Fluid Mech. , vol.223 , pp. 1-24
    • Kloosterziel, R.C.1    Van Heijst, G.J.F.2
  • 40
    • 0021427995 scopus 로고
    • The stability of two-dimensional linear flows
    • LAGNADO, R. R., PHAN-THIEN, N. & LEAL, L. G. 1984 The stability of two-dimensional linear flows. Phys. Fluids 27, 1094-1101.
    • (1984) Phys. Fluids , vol.27 , pp. 1094-1101
    • Lagnado, R.R.1    Phan-Thien, N.2    Leal, L.G.3
  • 41
    • 0004168443 scopus 로고
    • Cambridge University Press
    • LAMB, H. 1932 Hydrodynamics. Cambridge University Press.
    • (1932) Hydrodynamics
    • Lamb, H.1
  • 42
    • 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
  • 43
    • 0023702789 scopus 로고
    • Three-dimensional instability of a plane free shear layer: An experimental study of the formation and evolution of streamwise vortices
    • LASHERAS, J. C. & CHOI, H. 1988 Three-dimensional instability of a plane free shear layer: an experimental study of the formation and evolution of streamwise vortices. J. Fluid Mech. 189, 53-86.
    • (1988) J. Fluid Mech. , vol.189 , pp. 53-86
    • Lasheras, J.C.1    Choi, H.2
  • 44
    • 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
  • 45
    • 0542394310 scopus 로고    scopus 로고
    • Stability of the Stuart vortices in a rotating frame
    • (ed. S. Gavrilakis, L. Machiels & P. A. Monkewitz), Dordrecht: Kluwer
    • LEBLANC, S. & CAMBON, C. 1996 Stability of the Stuart vortices in a rotating frame. In Advances in Turbulence VI (ed. S. Gavrilakis, L. Machiels & P. A. Monkewitz), pp. 351-354. Dordrecht: Kluwer.
    • (1996) Advances in Turbulence VI , pp. 351-354
    • Leblanc, S.1    Cambon, C.2
  • 46
    • 0030663699 scopus 로고    scopus 로고
    • On the three-dimensional instabilities of plane flows subjected to Coriolis force
    • referred to herein as LC97
    • LEBLANC, S. & CAMBON, C. 1997 On the three-dimensional instabilities of plane flows subjected to Coriolis force. Phys. Fluids 9, 1307-1316 (referred to herein as LC97).
    • (1997) Phys. Fluids , vol.9 , pp. 1307-1316
    • Leblanc, S.1    Cambon, C.2
  • 48
    • 3242748402 scopus 로고    scopus 로고
    • Short-wavelength instabilities of Riemann ellipsoids
    • LEBOVITZ, N. R. & LIFSCHITZ, A. 1996 Short-wavelength instabilities of Riemann ellipsoids. Phil. Trans. R. Soc. Lond. A 354, 927-950.
    • (1996) Phil. Trans. R. Soc. Lond. A , vol.354 , pp. 927-950
    • Lebovitz, N.R.1    Lifschitz, A.2
  • 49
    • 0010259065 scopus 로고
    • Stabilizing and destabilizing effects of a solid-body rotation on quasi-two-dimensional shear layers
    • LESIEUR, M., YANASE, S. & MÉTAIS, O. 1991 Stabilizing and destabilizing effects of a solid-body rotation on quasi-two-dimensional shear layers. Phys. Fluids A 3, 403-407.
    • (1991) Phys. Fluids A , vol.3 , pp. 403-407
    • Lesieur, M.1    Yanase, S.2    Métais, O.3
  • 50
    • 0032050193 scopus 로고    scopus 로고
    • Coupled elliptic instability of a vortex pair
    • in press
    • LEWEKE, T. & WILLIAMSON, C. H. K. 1998 Coupled elliptic instability of a vortex pair. J. Fluid Mech. (in press).
    • (1998) J. Fluid Mech.
    • Leweke, T.1    Williamson, C.H.K.2
  • 51
    • 0000950806 scopus 로고
    • Short wavelength instabilities of incompressible three-dimensional flows and generation of vorticity
    • LIFSCHITZ, A. 1991 Short wavelength instabilities of incompressible three-dimensional flows and generation of vorticity. Phys. Lett. A 157, 481-487.
    • (1991) Phys. Lett. A , vol.157 , pp. 481-487
    • Lifschitz, A.1
  • 52
    • 0001530252 scopus 로고
    • On the stability of certain motions of an ideal incompressible fluid
    • LIFSCHITZ, A. 1994 On the stability of certain motions of an ideal incompressible fluid. Adv. Appl. Maths 15, 404-436.
    • (1994) Adv. Appl. Maths , vol.15 , pp. 404-436
    • Lifschitz, A.1
  • 53
    • 0025960023 scopus 로고
    • Local stability conditions in fluid dynamics
    • LIFSCHITZ, A. & HAMEIRI, E. 1991 Local stability conditions in fluid dynamics. Phys. Fluids A 3 2644-2651.
    • (1991) Phys. Fluids A , vol.3 , pp. 2644-2651
    • Lifschitz, A.1    Hameiri, E.2
  • 55
    • 0029657017 scopus 로고    scopus 로고
    • Transition to turbulence in an elliptic vortex
    • LUNDGREN, T. S. & MANSOUR, N. N. 1996 Transition to turbulence in an elliptic vortex. J. Fluid Mech. 307, 43-62.
    • (1996) J. Fluid Mech. , vol.307 , pp. 43-62
    • Lundgren, T.S.1    Mansour, N.N.2
  • 56
    • 12044249336 scopus 로고
    • Jupiter's Great Red Spot and other vortices
    • MARCUS, P. S. 1993 Jupiter's Great Red Spot and other vortices. Ann. Rev. Astron. Astrophys. 31, 523-573.
    • (1993) Ann. Rev. Astron. Astrophys. , vol.31 , pp. 523-573
    • Marcus, P.S.1
  • 57
    • 0028484176 scopus 로고
    • On Chaplygin's investigations of two-dimensional vortex structures in an inviscid fluid
    • MELESHKO, V. V. & HEIJST, G. J. F. VAN 1994 On Chaplygin's investigations of two-dimensional vortex structures in an inviscid fluid. J. Fluid Mech. 272, 157-182.
    • (1994) J. Fluid Mech. , vol.272 , pp. 157-182
    • Meleshko, V.V.1    Van Heijst, G.J.F.2
  • 59
    • 84958429452 scopus 로고
    • On the inviscid instability of the hyperbolic-tangent velocity profile
    • MICHALKE, A. 1964 On the inviscid instability of the hyperbolic-tangent velocity profile. J. Fluid Mech. 19, 543-556.
    • (1964) J. Fluid Mech. , vol.19 , pp. 543-556
    • Michalke, A.1
  • 60
    • 0026800311 scopus 로고
    • Gap size effects on centrifugally and rotationally driven instabilities
    • MUTABAZI, I., NORMAND, C. & WESFREID, J. E. 1992 Gap size effects on centrifugally and rotationally driven instabilities. Phys. Fluids A 4, 1199-1205.
    • (1992) Phys. Fluids A , vol.4 , pp. 1199-1205
    • Mutabazi, I.1    Normand, C.2    Wesfreid, J.E.3
  • 61
    • 0003080527 scopus 로고
    • Subcritical transition to turbulence in planar shear flows
    • (ed. R. E. Meyer), Academic
    • ORSZAG, S. A. & PATERA, A. T. 1981 Subcritical transition to turbulence in planar shear flows. In Transition and Turbulence (ed. R. E. Meyer), pp. 127-143. Academic.
    • (1981) Transition and Turbulence , pp. 127-143
    • Orszag, S.A.1    Patera, A.T.2
  • 62
    • 0020971752 scopus 로고
    • Secondary instability of wall-bounded shear flows
    • ORSZAG, S. A. & PATERA, A. T. 1983 Secondary instability of wall-bounded shear flows. J. Fluid Mech. 128, 347-385.
    • (1983) J. Fluid Mech. , vol.128 , pp. 347-385
    • Orszag, S.A.1    Patera, A.T.2
  • 63
    • 0014441606 scopus 로고
    • On the stability of viscous flow in a rapidly rotating pipe
    • PEDLEY, T. J. 1969 On the stability of viscous flow in a rapidly rotating pipe. J. Fluid Mech. 35, 97-115.
    • (1969) J. Fluid Mech. , vol.35 , pp. 97-115
    • Pedley, T.J.1
  • 64
    • 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
  • 65
    • 0019927540 scopus 로고
    • The two- and three-dimensional instabilities of a spatially periodic shear layer
    • PIERREHUMBERT, R. T. & WIDNALL, S. E. 1982 The two- and three-dimensional instabilities of a spatially periodic shear layer. J. Fluid Mech. 114, 59-82.
    • (1982) J. Fluid Mech. , vol.114 , pp. 59-82
    • Pierrehumbert, R.T.1    Widnall, S.E.2
  • 66
    • 0542441923 scopus 로고    scopus 로고
    • Elliptic instability in 2D-flattened Taylor-Green vortices
    • SIPP, D. & JACQUIN, L. 1997 Elliptic instability in 2D-flattened Taylor-Green vortices. Submitted to Phys. Fluids.
    • (1997) Phys. Fluids
    • Sipp, D.1    Jacquin, L.2
  • 67
    • 0028410687 scopus 로고
    • Three-dimensionalization of barotropic vortices on the f-plane
    • referred to herein as SP94
    • SMYTH, W. D. & PELTIER, W. R. 1994 Three-dimensionalization of barotropic vortices on the f-plane. J. Fluid Mech. 265, 25-64 (referred to herein as SP94).
    • (1994) J. Fluid Mech. , vol.265 , pp. 25-64
    • Smyth, W.D.1    Peltier, W.R.2
  • 68
    • 84953609574 scopus 로고
    • On finite amplitude oscillations in laminar mixing layers
    • STUART, J. T. 1967 On finite amplitude oscillations in laminar mixing layers. J. Fluid Mech. 29, 417-440.
    • (1967) J. Fluid Mech. , vol.29 , pp. 417-440
    • Stuart, J.T.1
  • 71
    • 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, 76-80.
    • (1990) Phys. Fluids A , vol.2 , pp. 76-80
    • Waleffe, F.1
  • 72
    • 0027392070 scopus 로고
    • Inertial transfers in the helical decomposition
    • WALEFFE, F. 1993 Inertial transfers in the helical decomposition. Phys. Fluids A 5, 677-685.
    • (1993) Phys. Fluids A , vol.5 , pp. 677-685
    • Waleffe, F.1
  • 73
    • 21844493361 scopus 로고
    • Hydrodynamic stability and turbulence: Beyond transients to a self-sustaining process
    • WALEFFE, F. 1995 Hydrodynamic stability and turbulence: beyond transients to a self-sustaining process. Stud. Appl. Maths 95, 319-343.
    • (1995) Stud. Appl. Maths , vol.95 , pp. 319-343
    • Waleffe, F.1
  • 74
    • 0030426191 scopus 로고    scopus 로고
    • Three-dimensional wake transition
    • WILLIAMSON, C. H. K. 1996 Three-dimensional wake transition. J. Fluid Mech. 328, 345-407.
    • (1996) J. Fluid Mech. , vol.328 , pp. 345-407
    • Williamson, C.H.K.1
  • 75
    • 36449007402 scopus 로고
    • Rotating free-shear flows. I. Linear stability analysis
    • YANASE, S., FLORES, C., MÉTAIS, O. & RILEY, J. J. 1993 Rotating free-shear flows. I. Linear stability analysis. Phys. Fluids A 5, 2725-2737.
    • (1993) Phys. Fluids A , vol.5 , pp. 2725-2737
    • Yanase, S.1    Flores, C.2    Métais, O.3    Riley, J.J.4


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