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Volumn 641, Issue , 2009, Pages 85-113

Spatio-temporal mode dynamics and higher order transitions in high aspect ratio Newtonian TaylorCouette flows

Author keywords

Instability; TaylorCouette flow; Transition to turbulence

Indexed keywords

CYLINDERS (SHAPES); NEWTONIAN LIQUIDS; PLASMA STABILITY; REYNOLDS NUMBER; TURBULENT FLOW; VORTEX FLOW;

EID: 76349119451     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009991431     Document Type: Article
Times cited : (58)

References (56)
  • 1
    • 45449109580 scopus 로고    scopus 로고
    • Qualitative relation between reflected light intensity by Kalliroscope flakes and velocity field in the Couette-Taylor flow system
    • Abcha, N., Latrache, N., Dumouchel, F. & Mutabazi, I. 2008 Qualitative relation between reflected light intensity by Kalliroscope flakes and velocity field in the Couette-Taylor flow system. Exp. Fluids 45, 85-94.
    • (2008) Exp. Fluids , vol.45 , pp. 85-94
    • Abcha, N.1    Latrache, N.2    Dumouchel, F.3    Mutabazi, I.4
  • 2
    • 26944486562 scopus 로고    scopus 로고
    • Mode competition of rotating waves in reflection-symmetric Taylor-Couette flow
    • Abshagen, J., Lopez, J. M., Marques, F. & Pfister, G. 2005 Mode competition of rotating waves in reflection-symmetric Taylor-Couette flow. J. Fluid Mech. 540, 269-299.
    • (2005) J. Fluid Mech. , vol.540 , pp. 269-299
    • Abshagen, J.1    Lopez, J.M.2    Marques, F.3    Pfister, G.4
  • 3
    • 53949085738 scopus 로고    scopus 로고
    • Bursting dynamics due to a homoclinic cascade in Taylor-Couette flow
    • Abshagen, J., Lopez, J. M., Marques, F. & Pfister, G. 2008 Bursting dynamics due to a homoclinic cascade in Taylor-Couette flow. J. Fluid Mech. 613, 357-384.
    • (2008) J. Fluid Mech. , vol.613 , pp. 357-384
    • Abshagen, J.1    Lopez, J.M.2    Marques, F.3    Pfister, G.4
  • 4
    • 39249083220 scopus 로고    scopus 로고
    • Gluing bifurcations in a dynamically complicated extended flow
    • Abshagen, J., Pfister, G. & Mullin, T. 2001 Gluing bifurcations in a dynamically complicated extended flow. Phys. Rev. Lett. 87 (22), 224501.
    • (2001) Phys. Rev. Lett. , vol.87 , Issue.22 , pp. 224501
    • Abshagen, J.1    Pfister, G.2    Mullin, T.3
  • 5
    • 76349083706 scopus 로고    scopus 로고
    • The Couette-Taylor flow: A paradigmatic system for instabilities, pattern formation and routes to chaos
    • Abshagen, J., Schulz, A. & Pfister, G. 1996 The Couette-Taylor flow: a paradigmatic system for instabilities, pattern formation and routes to chaos. In Nonlinear Physics of Complex Systems, pp. 63-72.
    • (1996) Nonlinear Physics of Complex Systems , pp. 63-72
    • Abshagen, J.1    Schulz, A.2    Pfister, G.3
  • 7
    • 11744288424 scopus 로고
    • Possible mechanism for transitions in wavy Taylor-vortex flow
    • Ahlers, G., Cannell, D. S. & Dominguez-Lerma, M. A. 1983 Possible mechanism for transitions in wavy Taylor-vortex flow. Phys. Rev. A 27, 1225-1227.
    • (1983) Phys. Rev. A , vol.27 , pp. 1225-1227
    • Ahlers, G.1    Cannell, D.S.2    Dominguez-Lerma, M.A.3
  • 8
    • 36749113559 scopus 로고
    • New flows in a circular Couette system with co-rotating cylinders
    • Andereck, C. D., Dickman, R. & Swinney, H. L. 1983 New flows in a circular Couette system with co-rotating cylinders. Phys. Fluids 26, 1395-1401.
    • (1983) Phys. Fluids , vol.26 , pp. 1395-1401
    • Andereck, C.D.1    Dickman, R.2    Swinney, H.L.3
  • 9
    • 0022677808 scopus 로고
    • Flow regimes in a circular Couette system with independently rotating cylinders
    • Andereck, C. D., Liu, S. S. & Swinney, H. L. 1986 Flow regimes in a circular Couette system with independently rotating cylinders. J. Fluid Mech. 164, 155-183.
    • (1986) J. Fluid Mech. , vol.164 , pp. 155-183
    • Andereck, C.D.1    Liu, S.S.2    Swinney, H.L.3
  • 10
    • 35948944881 scopus 로고    scopus 로고
    • Stability control and catastrophic transition in a forced Taylor-Couette system
    • DOI 10.1017/S0022112007008105, PII S0022112007008105
    • Avila, M., Marques, F., Lopez, J. M., & Meseguer, A. 2007 Stability control and catastrophic transition in a forced Taylor-Couette system. J. Fluid Mech. 590, 471-496. (Pubitemid 350066519)
    • (2007) Journal of Fluid Mechanics , vol.590 , pp. 471-496
    • Avila, M.1    Marques, F.2    Lopez, J.M.3    Meseguer, A.4
  • 11
    • 51849105988 scopus 로고    scopus 로고
    • Slow acceleration and deacceleration through a hopf bifurcation: Power ramps, target nucleation, and elliptic bursting
    • Baer, S. M. & Gaekel, E. M. 2008 Slow acceleration and deacceleration through a hopf bifurcation: power ramps, target nucleation, and elliptic bursting. Phys. Rev. E 78 (036205).
    • (2008) Phys. Rev. e , vol.78 , Issue.36
    • Baer, S.M.1    Gaekel, E.M.2
  • 12
    • 0018312322 scopus 로고
    • Marginal instability in Taylor-Couette flows at a very high Taylor number
    • Barcilon, A., Brindley, J., Lessen, M. & Mobbs, F. R. 1979 Marginal instability in Taylor-Couette flows at a very high Taylor number. J. Fluid Mech. 94, 453-463.
    • (1979) J. Fluid Mech. , vol.94 , pp. 453-463
    • Barcilon, A.1    Brindley, J.2    Lessen, M.3    Mobbs, F.R.4
  • 13
    • 4243579529 scopus 로고
    • Formation of dynamical domains in a circular Couette System
    • Baxter, G. W. & Andereck, C. D. 1986 Formation of dynamical domains in a circular Couette System. Phys. Rev. Lett. 57, 3046-3049.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 3046-3049
    • Baxter, G.W.1    Andereck, C.D.2
  • 14
    • 0020169258 scopus 로고
    • Notes on the multiplicity of flows in the Taylor experiment
    • Benjamin, T. B. & Mullin, T. 1982 Notes on the multiplicity of flows in the Taylor experiment. J. Fluid Mech. 121, 219-230.
    • (1982) J. Fluid Mech. , vol.121 , pp. 219-230
    • Benjamin, T.B.1    Mullin, T.2
  • 15
    • 22244456151 scopus 로고
    • Strange attractors in weakly turbulent Couette-Taylor flow
    • Brandstater, A. & Swinney, H. L. 1987 Strange attractors in weakly turbulent Couette-Taylor flow. Phys. Rev. A 35, 2207-2220.
    • (1987) Phys. Rev. A , vol.35 , pp. 2207-2220
    • Brandstater, A.1    Swinney, H.L.2
  • 16
    • 0016956174 scopus 로고
    • Taylor-vortex instability and annulus-length effects
    • Cole, J. A. 1976 Taylor-vortex instability and annulus-length effects. J. Fluid Mech. 75, 1-15.
    • (1976) J. Fluid Mech. , vol.75 , pp. 1-15
    • Cole, J.A.1
  • 17
    • 65249111968 scopus 로고
    • Transition in circular Couette flow
    • Coles, D. 1965 Transition in circular Couette flow. J. Fluid Mech. 21, 385-425.
    • (1965) J. Fluid Mech. , vol.21 , pp. 385-425
    • Coles, D.1
  • 18
    • 85002807099 scopus 로고
    • A note on Taylor instability in circular Couette flow
    • Coles, D. 1967 A note on Taylor instability in circular Couette flow. J. Appl. Mech. 34, 529-532.
    • (1967) J. Appl. Mech. , vol.34 , pp. 529-532
    • Coles, D.1
  • 19
    • 0344918087 scopus 로고
    • Distinct quasiperiodic modes with like symmetry in a rotating fluid
    • Coughlin, K. T., Marcus, P. S., Tagg, R. P. & Swinney, H. L. 1991 Distinct quasiperiodic modes with like symmetry in a rotating fluid. Phys. Rev. Lett. 66, 1161-1164.
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 1161-1164
    • Coughlin, K.T.1    Marcus, P.S.2    Tagg, R.P.3    Swinney, H.L.4
  • 20
    • 34249977620 scopus 로고    scopus 로고
    • Time scales for transition in Taylor-Couette flow
    • Czarny, O. & Lueptow, R. M. 2007 Time scales for transition in Taylor-Couette flow. Phys. Fluids 19, 054103.
    • (2007) Phys. Fluids , vol.19 , pp. 054103
    • Czarny, O.1    Lueptow, R.M.2
  • 21
    • 10644223527 scopus 로고    scopus 로고
    • Ekman vortices and the centrifugal instability in counter-rotating cylindrical Couette flow
    • Czarny, O., Serre, E., Bontoux, P. & Lueptow, R. M 2004 Ekman vortices and the centrifugal instability in counter-rotating cylindrical Couette flow. Theor. Comput. Fluid Dyn. 18, 151-168.
    • (2004) Theor. Comput. Fluid Dyn. , vol.18 , pp. 151-168
    • Czarny, O.1    Serre, E.2    Bontoux, P.3    Lueptow, R.M.4
  • 22
    • 0021507774 scopus 로고
    • The effect of radius ratio on the stability of Couette flow and Taylor vortex flow
    • DiPrima, R. C., Eagles, P. M. & Ng, B. S. 1984 The effect of radius ratio on the stability of Couette flow and Taylor vortex flow. Phys. Fluids 27, 2403-2411.
    • (1984) Phys. Fluids , vol.27 , pp. 2403-2411
    • Diprima, R.C.1    Eagles, P.M.2    Ng, B.S.3
  • 23
    • 0010581584 scopus 로고
    • Experiments on the stability of viscous flow between rotating cylinders. II. Visual observations
    • Donnelly, R. J. & Fultz, D. 1960 Experiments on the stability of viscous flow between rotating cylinders. II. Visual observations. Proc. R. Soc. Lond. A 258, 101-122.
    • (1960) Proc. R. Soc. Lond. A , vol.258 , pp. 101-122
    • Donnelly, R.J.1    Fultz, D.2
  • 24
    • 0013767043 scopus 로고
    • Flow and stability of helium II between concentric cylinders
    • Donnelly, R. J. & LaMar, M. M. 1988 Flow and stability of helium II between concentric cylinders. J. Fluid Mech. 186, 163-198.
    • (1988) J. Fluid Mech. , vol.186 , pp. 163-198
    • Donnelly, R.J.1    Lamar, M.M.2
  • 26
    • 34147138986 scopus 로고    scopus 로고
    • Explicit analytic formulas for Newtonian Taylor-Couette primary instabilities
    • Dutcher, C. S. & Muller, S. J. 2007 Explicit analytic formulas for Newtonian Taylor-Couette primary instabilities. Phys. Rev. E 75, 047301.
    • (2007) Phys. Rev. e , vol.75 , pp. 047301
    • Dutcher, C.S.1    Muller, S.J.2
  • 27
    • 0029673706 scopus 로고    scopus 로고
    • Analytic expression for Taylor-Couette stability boundary
    • Esser, A. & Grossmann, S. 1996 Analytic expression for Taylor-Couette stability boundary. Phys. Fluids. 8, 1814-1819.
    • (1996) Phys. Fluids. , vol.8 , pp. 1814-1819
    • Esser, A.1    Grossmann, S.2
  • 28
    • 0018515437 scopus 로고
    • Dynamical instabilities and the transition to chaotic Taylor vortex flow
    • Fenstermacher, P. R., Swinney, H. L. & Gollub, J. P. 1979 Dynamical instabilities and the transition to chaotic Taylor vortex flow. J. Fluid Mech. 94, 103-128.
    • (1979) J. Fluid Mech. , vol.94 , pp. 103-128
    • Fenstermacher, P.R.1    Swinney, H.L.2    Gollub, J.P.3
  • 29
    • 35949040339 scopus 로고
    • Onset of turbulence in a rotating fluid
    • Gollub, J. P. & Swinney, H. L. 1975 Onset of turbulence in a rotating fluid. Phys. Rev. Lett. 35, 927-930.
    • (1975) Phys. Rev. Lett. , vol.35 , pp. 927-930
    • Gollub, J.P.1    Swinney, H.L.2
  • 30
    • 84974199028 scopus 로고
    • Spatial and temporal characteristics of modulated waves in the circular Couette system
    • Gorman, M. & Swinney, H. L. 1982 Spatial and temporal characteristics of modulated waves in the circular Couette system. J. Fluid Mech. 117, 123-142.
    • (1982) J. Fluid Mech. , vol.117 , pp. 123-142
    • Gorman, M.1    Swinney, H.L.2
  • 31
    • 4243538616 scopus 로고    scopus 로고
    • Bifurcations from Taylor vortices between corotating concentric cylinders
    • Hegseth, J. J., Baxter, G. W. & Andereck, C. D. 1996 Bifurcations from Taylor vortices between corotating concentric cylinders. Phys. Rev. E 53, 507-521.
    • (1996) Phys. Rev. e , vol.53 , pp. 507-521
    • Hegseth, J.J.1    Baxter, G.W.2    Andereck, C.D.3
  • 32
    • 0344055665 scopus 로고
    • Limits of stability and irregular flow patterns in wavy vortex flow
    • King, G. P. & Swinney, H. L. 1983 Limits of stability and irregular flow patterns in wavy vortex flow. Phys. Rev. A 27, 1240-1243.
    • (1983) Phys. Rev. A , vol.27 , pp. 1240-1243
    • King, G.P.1    Swinney, H.L.2
  • 33
    • 0018303738 scopus 로고
    • Turbulent Taylor vortex flow
    • Koschmieder, E. L. 1979 Turbulent Taylor vortex flow. J. Fluid Mech. 93, 515-527.
    • (1979) J. Fluid Mech. , vol.93 , pp. 515-527
    • Koschmieder, E.L.1
  • 35
    • 0001246771 scopus 로고
    • Transition to shear-driven turbulence in Couette-Taylor flow
    • Lathrop, D. P., Fineberg, J. & Swinney, H. L. 1992 Transition to shear-driven turbulence in Couette-Taylor flow. Phys. Rev. A 46, 6390-6405.
    • (1992) Phys. Rev. A , vol.46 , pp. 6390-6405
    • Lathrop, D.P.1    Fineberg, J.2    Swinney, H.L.3
  • 36
    • 0000524005 scopus 로고    scopus 로고
    • Velocity structure functions, scaling, and transitions in high-Reynolds-number Couette-Taylor flow
    • Lewis, G. S. & Swinney, H. L. 1999 Velocity structure functions, scaling, and transitions in high-Reynolds-number Couette-Taylor flow. Phys. Rev. E 59, 5457-5467.
    • (1999) Phys. Rev. e , vol.59 , pp. 5457-5467
    • Lewis, G.S.1    Swinney, H.L.2
  • 37
    • 0032834085 scopus 로고    scopus 로고
    • Route into chaos in small and wide gap Taylor-Couette flow
    • Meincke, O. & Egbers, C. 1999 Route into chaos in small and wide gap Taylor-Couette flow. Phys. Chem. Earth B 25, 467-471.
    • (1999) Phys. Chem. Earth B , vol.25 , pp. 467-471
    • Meincke, O.1    Egbers, C.2
  • 38
    • 5544277737 scopus 로고
    • Onset of time dependence in Taylor-Couette flow
    • Mullin, T. 1985 Onset of time dependence in Taylor-Couette flow. Phys. Rev. A 31, 1216-1218.
    • (1985) Phys. Rev. A , vol.31 , pp. 1216-1218
    • Mullin, T.1
  • 39
    • 35949019037 scopus 로고
    • Deterministic transition in Taylor wavy-vortex flow
    • Park, K. & Crawford, G. L. 1983 Deterministic transition in Taylor wavy-vortex flow. Phys. Rev. Lett. 50, 343-346.
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 343-346
    • Park, K.1    Crawford, G.L.2
  • 40
    • 0141553857 scopus 로고
    • Determination of transition in Couette flow in finite geometries
    • Park, K., Crawford, G. L. & Donnelly, R. J. 1981 Determination of transition in Couette flow in finite geometries. Phys. Rev. Lett. 47, 1448-1450.
    • (1981) Phys. Rev. Lett. , vol.47 , pp. 1448-1450
    • Park, K.1    Crawford, G.L.2    Donnelly, R.J.3
  • 41
    • 0001801883 scopus 로고
    • Dynamics of Taylor wavy vortex flow
    • Pfister, G. & Gerdts, U. 1981 Dynamics of Taylor wavy vortex flow. Phys. Lett. 83A (1), 23-25.
    • (1981) Phys. Lett. , vol.83 A , pp. 23-25
    • Pfister, G.1    Gerdts, U.2
  • 42
    • 33745684588 scopus 로고    scopus 로고
    • Experimental study of a Neimark-Sacker bifurcation in axially forced Taylor-Couette flow
    • Sinha, M., Kevrekidis, I. G. & Smits, A. J. 2006 Experimental study of a Neimark-Sacker bifurcation in axially forced Taylor-Couette flow. J. Fluid Mech. 558, 1-32.
    • (2006) J. Fluid Mech. , vol.558 , pp. 1-32
    • Sinha, M.1    Kevrekidis, I.G.2    Smits, A.J.3
  • 43
    • 0020194507 scopus 로고
    • Turbulent Couette flow between concentric cylinders at large Taylor numbers
    • Smith, G. P. & Townsend, A. A. 1982 Turbulent Couette flow between concentric cylinders at large Taylor numbers. J. Fluid Mech. 123, 187-217.
    • (1982) J. Fluid Mech. , vol.123 , pp. 187-217
    • Smith, G.P.1    Townsend, A.A.2
  • 44
    • 36849114876 scopus 로고
    • Stability of rotating Couette flow. II. Comparison with numerical results
    • Snyder, H. A. 1968 Stability of rotating Couette flow. II. Comparison with numerical results. Phys. Fluids 11, 1599-1605.
    • (1968) Phys. Fluids , vol.11 , pp. 1599-1605
    • Snyder, H.A.1
  • 45
    • 0014661907 scopus 로고
    • Wave-number selection at finite amplitude in rotating Couette flow
    • Snyder, H. A. 1969 Wave-number selection at finite amplitude in rotating Couette flow. J. Fluid Mech. 35, 273-298.
    • (1969) J. Fluid Mech. , vol.35 , pp. 273-298
    • Snyder, H.A.1
  • 46
    • 0001920559 scopus 로고
    • The Couette-Taylor problem
    • Tagg, R. 1994 The Couette-Taylor problem. Nonlinear Sci. Today 4, 2-25.
    • (1994) Nonlinear Sci. Today , vol.4 , pp. 2-25
    • Tagg, R.1
  • 47
    • 0032629854 scopus 로고    scopus 로고
    • Quasi-periodic state and transition to turbulence in a rotating Couette system
    • Takeda, Y. 1999 Quasi-periodic state and transition to turbulence in a rotating Couette system. J. Fluid Mech. 389, 81-99.
    • (1999) J. Fluid Mech. , vol.389 , pp. 81-99
    • Takeda, Y.1
  • 48
    • 0005728343 scopus 로고
    • Spatial characteristics of dynamic properties of modulated wavy vortex flow in a rotating Couette system
    • Takeda, Y., Fischer, W. E., Kobashi, K. & Takeda, T. 1992 Spatial characteristics of dynamic properties of modulated wavy vortex flow in a rotating Couette system. Exp. Fluids 13, 199-207.
    • (1992) Exp. Fluids , vol.13 , pp. 199-207
    • Takeda, Y.1    Fischer, W.E.2    Kobashi, K.3    Takeda, T.4
  • 49
    • 0003293504 scopus 로고
    • Experimental observation of the quasiperiodic modes in a rotating Couette system
    • Takeda, Y., Fischer, W. E., Sakakibara, J. & Ohmura, K. 1993 Experimental observation of the quasiperiodic modes in a rotating Couette system. Phys. Rev. E 47, 4130-4134.
    • (1993) Phys. Rev. e , vol.47 , pp. 4130-4134
    • Takeda, Y.1    Fischer, W.E.2    Sakakibara, J.3    Ohmura, K.4
  • 50
    • 0001700505 scopus 로고
    • Flow regimes in a circular Couette system with independently rotating cylinders
    • Taylor, G. I. 1923 Flow regimes in a circular Couette system with independently rotating cylinders. Phil. Trans. R. Soc. Lond. A 223, 289-343.
    • (1923) Phil. Trans. R. Soc. Lond. A , vol.223 , pp. 289-343
    • Taylor, G.I.1
  • 51
    • 0348129823 scopus 로고    scopus 로고
    • Symmetry breaking and period doubling on a torus in the VLF regime in Taylor-Couette flow
    • von Stamm, J., Gerdts, U., Buzug, Th. & Pfister, G. 1996 Symmetry breaking and period doubling on a torus in the VLF regime in Taylor-Couette flow. Phys. Rev. E 54, 4938-4957.
    • (1996) Phys. Rev. e , vol.54 , pp. 4938-4957
    • Von Stamm, J.1    Gerdts, U.2    Buzug, Th.3    Pfister, G.4
  • 52
    • 0344540649 scopus 로고
    • Reemergent order of chaotic circular Couette flow
    • Walden, R. W. & Donnelly, R. J. 1979 Reemergent order of chaotic circular Couette flow. Phys. Rev. Lett 42, 301-304.
    • (1979) Phys. Rev. Lett , vol.42 , pp. 301-304
    • Walden, R.W.1    Donnelly, R.J.2
  • 53
    • 22244484400 scopus 로고    scopus 로고
    • Reappearance of azimuthal waves in turbulent Taylor-Couette flow at large aspect ratio
    • Wang, L., Olsen, M. G. & Vigil, R. D. 2005 Reappearance of azimuthal waves in turbulent Taylor-Couette flow at large aspect ratio. Chem. Engng Sci. 60, 5555-5568.
    • (2005) Chem. Engng Sci. , vol.60 , pp. 5555-5568
    • Wang, L.1    Olsen, M.G.2    Vigil, R.D.3
  • 55
    • 0036610330 scopus 로고    scopus 로고
    • Effect of acceleration on the wavy Taylor vortex flow
    • Xiao, Q., Lim, T. T. & Chew, Y. T. 2002 Effect of acceleration on the wavy Taylor vortex flow. Exp. Fluids 32, 639-644.
    • (2002) Exp. Fluids , vol.32 , pp. 639-644
    • Xiao, Q.1    Lim, T.T.2    Chew, Y.T.3
  • 56
    • 0040782316 scopus 로고
    • Nonpropagating oscillatory modes in Couette-Taylor flow
    • Zhang, L. H. & Swinney, H. L. 1985 Nonpropagating oscillatory modes in Couette-Taylor flow. Phys. Rev. A 31, 1006-1009.
    • (1985) Phys. Rev. A , vol.31 , pp. 1006-1009
    • Zhang, L.H.1    Swinney, H.L.2


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