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Volumn 23, Issue 1, 2009, Pages 15-36

Aspect-ratio dependence of transient taylor vortices close to threshold

Author keywords

Numerical approach; Taylor Couette instability; Transient dynamics

Indexed keywords

BOUNDARY EFFECTS; CYLINDRICAL COUETTE FLOWS; DECAY TRANSIENTS; EKMAN PUMPING; GINZBURG LANDAUS; GINZBURG-LANDAU FORMALISMS; LANDAU AMPLITUDE EQUATIONS; NUMERICAL APPROACH; NUMERICAL STUDIES; RADIUS RATIOS; RATIO DEPENDENCES; SUB-CRITICAL; TAYLOR VORTICES; TAYLOR-COUETTE INSTABILITY; TIME DEPENDENCES; TIME-SCALE; TIME-SCALES; TRANSIENT DYNAMICS;

EID: 62249110154     PISSN: 09354964     EISSN: 14322250     Source Type: Journal    
DOI: 10.1007/s00162-009-0093-x     Document Type: Article
Times cited : (6)

References (38)
  • 2
    • 65249111968 scopus 로고
    • Transition in circular Couette flow
    • D. Coles 1965 Transition in circular Couette flow J. Fluid Mech. 21 385 425
    • (1965) J. Fluid Mech. , vol.21 , pp. 385-425
    • Coles, D.1
  • 3
    • 0022677808 scopus 로고
    • Flow regimes in a circular Couette flow system with independently rotating cylinders
    • C.D. Andereck S.S. Liu H.L. Swinney 1986 Flow regimes in a circular Couette flow 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
  • 8
    • 84864158904 scopus 로고    scopus 로고
    • Nonlinear Science Today 4, 1-25; a reference list, fairly complete up to 1999, can be found at:
    • Tagg, R.: The Taylor-Couette problem. Nonlinear Science Today 4, 1-25; a reference list, fairly complete up to 1999, can be found at: http://carbon.cudenver.edu/~rtagg/tcrefs/taylorcouette.html (1994)
    • The Taylor-Couette Problem
    • Tagg, R.1
  • 9
    • 0000949634 scopus 로고
    • Nonlinear stability theory
    • J.T. Stuart 1971 Nonlinear stability theory Ann. Rev. Fluid Mech. 43 347 371
    • (1971) Ann. Rev. Fluid Mech. , vol.43 , pp. 347-371
    • Stuart, J.T.1
  • 10
    • 84936374420 scopus 로고
    • On the non-linear mechanics of hydrodynamic stability
    • J.T. Stuart 1958 On the non-linear mechanics of hydrodynamic stability J. Fluid Mech. 4 1 21
    • (1958) J. Fluid Mech. , vol.4 , pp. 1-21
    • Stuart, J.T.1
  • 11
    • 34250576372 scopus 로고
    • Instabilität der Strömung swischen zweil rotierenden Zylindern gegenüber Taylor-Wirbeln für beliebige Spaltbreiten
    • K. Kirchgässner 1961 Instabilität der Strömung swischen zweil rotierenden Zylindern gegenüber Taylor-Wirbeln für beliebige Spaltbreiten ZAMP 12 14 30
    • (1961) ZAMP , vol.12 , pp. 14-30
    • Kirchgässner, K.1
  • 12
    • 84927377617 scopus 로고
    • The growth of Taylor vortices in flows between rotating cylinders
    • A. Davey 1962 The growth of Taylor vortices in flows between rotating cylinders J. Fluid Mech. 14 336 368
    • (1962) J. Fluid Mech. , vol.14 , pp. 336-368
    • Davey, A.1
  • 13
    • 0001561473 scopus 로고
    • Experiments on the stability of viscous flow between rotating cylinders. VI. Finite amplitude experiments
    • R.J. Donnelly K.W. Schwarz 1965 Experiments on the stability of viscous flow between rotating cylinders. VI. Finite amplitude experiments Proc. R. Soc. Lond. A 283 531 556
    • (1965) Proc. R. Soc. Lond. A , vol.283 , pp. 531-556
    • Donnelly, R.J.1    Schwarz, K.W.2
  • 14
    • 0021412702 scopus 로고
    • Marginal stability curve and linear growth rate for rotating Couette-Taylor flow and Rayleigh-Bénard convection
    • M.A. Dominguez-Lerma G. Ahlers D.S. Cannell 1984 Marginal stability curve and linear growth rate for rotating Couette-Taylor flow and Rayleigh-Bénard convection Phys. Fluids 27 856 860
    • (1984) Phys. Fluids , vol.27 , pp. 856-860
    • Dominguez-Lerma, M.A.1    Ahlers, G.2    Cannell, D.S.3
  • 15
    • 84971815063 scopus 로고
    • Qualitative analysis of a model for boundary effects in the Taylor problem
    • D.G. Schaeffer 1980 Qualitative analysis of a model for boundary effects in the Taylor problem Math. Proc. Camb. Phil. Soc. 87 307 337
    • (1980) Math. Proc. Camb. Phil. Soc. , vol.87 , pp. 307-337
    • Schaeffer, D.G.1
  • 16
    • 0019049045 scopus 로고
    • Centrifugal instabilities in finite containers: A periodic model
    • P. Hall 1980 Centrifugal instabilities in finite containers: a periodic model J. Fluid Mech. 99 575 596
    • (1980) J. Fluid Mech. , vol.99 , pp. 575-596
    • Hall, P.1
  • 17
    • 0019875476 scopus 로고
    • Anomalous modes in the Taylor experiment
    • T.B. Benjamin T. Mullin 1981 Anomalous modes in the Taylor experiment Proc. R. Soc. Lond. A 377 221 249
    • (1981) Proc. R. Soc. Lond. A , vol.377 , pp. 221-249
    • Benjamin, T.B.1    Mullin, T.2
  • 18
    • 1842736743 scopus 로고    scopus 로고
    • Boundary effects and the onset of Taylor vortices
    • A.M. Rucklidge A.R. Champneys 2004 Boundary effects and the onset of Taylor vortices Phys. D 191 282 296
    • (2004) Phys. D , vol.191 , pp. 282-296
    • Rucklidge, A.M.1    Champneys, A.R.2
  • 19
    • 0000932293 scopus 로고
    • Vortex front propagation in rotating Couette-Taylor flow
    • G. Ahlers D.S. Cannell 1983 Vortex front propagation in rotating Couette-Taylor flow Phys. Rev. Lett. 50 1583 1586
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 1583-1586
    • Ahlers, G.1    Cannell, D.S.2
  • 20
    • 0021406130 scopus 로고
    • Numerical computation of time dependent Taylor-vortex flow in finite-length geometries
    • G.P. Neitzel 1984 Numerical computation of time dependent Taylor-vortex flow in finite-length geometries J. Fluid Mech. 141 51 66
    • (1984) J. Fluid Mech. , vol.141 , pp. 51-66
    • Neitzel, G.P.1
  • 22
    • 0009896620 scopus 로고
    • Evolution equation for Taylor vortices in the small gap limit
    • P. Hall 1984 Evolution equation for Taylor vortices in the small gap limit Phys. Rev. A 29 2921 2923
    • (1984) Phys. Rev. A , vol.29 , pp. 2921-2923
    • Hall, P.1
  • 24
    • 0018261572 scopus 로고
    • The effect of distant sidewalls on the transition to finite amplitude Bénard convection
    • P.G. Daniels 1977 The effect of distant sidewalls on the transition to finite amplitude Bénard convection Proc. R. Soc. Lond. A 358 173 197
    • (1977) Proc. R. Soc. Lond. A , vol.358 , pp. 173-197
    • Daniels, P.G.1
  • 25
    • 0018261560 scopus 로고
    • The smooth transition to a convective regime in a two-dimensional box
    • P. Hall I.C. Walton 1977 The smooth transition to a convective regime in a two-dimensional box Proc. R. Soc. Lond. A 358 199 221
    • (1977) Proc. R. Soc. Lond. A , vol.358 , pp. 199-221
    • Hall, P.1    Walton, I.C.2
  • 26
    • 0020706607 scopus 로고
    • Phase winding solutions in a finite container above the convective threshold
    • M.C. Cross P.G. Daniels P.C. Hohenberg E.D. Siggia 1983 Phase winding solutions in a finite container above the convective threshold J. Fluid Mech. 127 155 183
    • (1983) J. Fluid Mech. , vol.127 , pp. 155-183
    • Cross, M.C.1    Daniels, P.G.2    Hohenberg, P.C.3    Siggia, E.D.4
  • 27
    • 0037773828 scopus 로고
    • Local amplitude equation of Taylor vortices and its boundary condition
    • R. Graham J.A. Domaradzki 1982 Local amplitude equation of Taylor vortices and its boundary condition Phys. Rev. A 26 1572 1579
    • (1982) Phys. Rev. A , vol.26 , pp. 1572-1579
    • Graham, R.1    Domaradzki, J.A.2
  • 28
    • 49049152452 scopus 로고
    • Space-dependent order parameter in circular Couette flow transitions
    • G. Pfister I. Rehberg 1981 Space-dependent order parameter in circular Couette flow transitions Phys. Lett. A 83 19 22
    • (1981) Phys. Lett. A , vol.83 , pp. 19-22
    • Pfister, G.1    Rehberg, I.2
  • 29
    • 0021619744 scopus 로고
    • Cellular patterns with boundary forcing
    • S. Zaleski 1984 Cellular patterns with boundary forcing J. Fluid Mech. 149 101 125
    • (1984) J. Fluid Mech. , vol.149 , pp. 101-125
    • Zaleski, S.1
  • 30
    • 0018702717 scopus 로고
    • Stability and fluctuations of a spatially periodic convective flow
    • Y. Pomeau P. Manneville 1979 Stability and fluctuations of a spatially periodic convective flow J. Phys. Lett. 40 L609 L612
    • (1979) J. Phys. Lett. , vol.40
    • Pomeau, Y.1    Manneville, P.2
  • 31
    • 0030766454 scopus 로고    scopus 로고
    • Numerical prediction of laminar, transitional and turbulent flows in shrouded rotor-stator systems
    • E. Randriamampianina L. Elena J.P. Fontaine R. Schiestel 1997 Numerical prediction of laminar, transitional and turbulent flows in shrouded rotor-stator systems Phys. Fluids 9 1696 1713
    • (1997) Phys. Fluids , vol.9 , pp. 1696-1713
    • Randriamampianina, E.1    Elena, L.2    Fontaine, J.P.3    Schiestel, R.4
  • 32
    • 0026206802 scopus 로고
    • Novel bifurcation phenomena in a rotating annulus
    • S.J. Tavener T. Mullin K.A. Cliffe 1991 Novel bifurcation phenomena in a rotating annulus J. Fluid Mech. 229 483 497
    • (1991) J. Fluid Mech. , vol.229 , pp. 483-497
    • Tavener, S.J.1    Mullin, T.2    Cliffe, K.A.3
  • 33
    • 0037331618 scopus 로고    scopus 로고
    • Interaction between Ekman pumping and the centrifugal instability in Taylor-Couette flow
    • O. Czarny E. Serre P. Bontoux R.M. Lueptow 2003 Interaction between Ekman pumping and the centrifugal instability in Taylor-Couette flow Phys. Fluids 15 467 477
    • (2003) Phys. Fluids , vol.15 , pp. 467-477
    • Czarny, O.1    Serre, E.2    Bontoux, P.3    Lueptow, R.M.4
  • 35
    • 0036568498 scopus 로고    scopus 로고
    • A spectral projection method for the simulation of complex three-dimensional rotating flows
    • I. Raspo S. Hugues E. Serre A. Randriamampianina P. Bontoux 2002 A spectral projection method for the simulation of complex three-dimensional rotating flows Comp. Fluids 31 745 767
    • (2002) Comp. Fluids , vol.31 , pp. 745-767
    • Raspo, I.1    Hugues, S.2    Serre, E.3    Randriamampianina, A.4    Bontoux, P.5
  • 37
    • 0001049374 scopus 로고
    • Zigzag instability and axisymmetric rolls in Rayleigh-Bénard convection, the effects of curvature
    • P. Manneville J.M. Piquemal 1983 Zigzag instability and axisymmetric rolls in Rayleigh-Bénard convection, the effects of curvature Phys. Rev. A 28 1774 1790
    • (1983) Phys. Rev. A , vol.28 , pp. 1774-1790
    • Manneville, P.1    Piquemal, J.M.2
  • 38
    • 35949016524 scopus 로고
    • End effects and phase instabilities in a model for Taylor-Couette systems
    • D. Walgraef 1986 End effects and phase instabilities in a model for Taylor-Couette systems Phys. Rev. A 34 3270 3278
    • (1986) Phys. Rev. A , vol.34 , pp. 3270-3278
    • Walgraef, D.1


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