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Volumn 588, Issue , 2007, Pages 189-215

Instability of optimal non-axisymmetric base-flow deviations in pipe Poiseuille flow

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); FLOW VELOCITY; OPTIMIZATION; REYNOLDS NUMBER; STABILITY;

EID: 37749014521     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007007446     Document Type: Article
Times cited : (12)

References (55)
  • 1
    • 84931479963 scopus 로고
    • Analysis of the stability of axisymmetric jets
    • BATCHELOR, G. K. & GILL, A. E. 1962 Analysis of the stability of axisymmetric jets. J. Fluid Mech. 14, 529-551.
    • (1962) J. Fluid Mech , vol.14 , pp. 529-551
    • BATCHELOR, G.K.1    GILL, A.E.2
  • 2
    • 37749010042 scopus 로고    scopus 로고
    • BEN-DOV, G. 2006 Optimal disturbances and secondary instabilities in shear flows. PhD thesis, Technion - Israel Institute of Technology, Haifa, Israel.
    • BEN-DOV, G. 2006 Optimal disturbances and secondary instabilities in shear flows. PhD thesis, Technion - Israel Institute of Technology, Haifa, Israel.
  • 3
    • 33846884826 scopus 로고    scopus 로고
    • Critical Reynolds number for a natural transition to turbulence in pipe flows
    • BEN-DOV, G. & COHEN, J. 2007 Critical Reynolds number for a natural transition to turbulence in pipe flows. Phys. Rev. Lett. 98, 064503.
    • (2007) Phys. Rev. Lett , vol.98 , pp. 064503
    • BEN-DOV, G.1    COHEN, J.2
  • 4
    • 0041825212 scopus 로고    scopus 로고
    • On the mechanism of optimal disturbances: The role of a pair of nearly parallel modes
    • BEN-DOV, G., LEVINSKI, V. & COHEN, J. 2003 On the mechanism of optimal disturbances: The role of a pair of nearly parallel modes. Phys. Fluids 15, 1961-1972.
    • (2003) Phys. Fluids , vol.15 , pp. 1961-1972
    • BEN-DOV, G.1    LEVINSKI, V.2    COHEN, J.3
  • 5
    • 0027533064 scopus 로고
    • Optimal growth of small disturbances in pipe Poiseuille flow
    • BERGSTRÖM, L. 1993 Optimal growth of small disturbances in pipe Poiseuille flow. Phys. Fluids A 5, 2710-2720.
    • (1993) Phys. Fluids A , vol.5 , pp. 2710-2720
    • BERGSTRÖM, L.1
  • 6
    • 4043107373 scopus 로고    scopus 로고
    • Transient growth and minimal defects: Two possible initial paths of transition to turbulence in plane shear flows
    • BIAU, D. & BOTTARO, A. 2004 Transient growth and minimal defects: Two possible initial paths of transition to turbulence in plane shear flows. Phys. Fluids 16, 3515-3529.
    • (2004) Phys. Fluids , vol.16 , pp. 3515-3529
    • BIAU, D.1    BOTTARO, A.2
  • 7
    • 0037428860 scopus 로고    scopus 로고
    • The effect of base flow variation on flow stability
    • BOTTARO, A., CORBETT, P. & LECHINI, P. 2003 The effect of base flow variation on flow stability. J. Fluid Mech. 476, 293-302.
    • (2003) J. Fluid Mech , vol.476 , pp. 293-302
    • BOTTARO, A.1    CORBETT, P.2    LECHINI, P.3
  • 8
    • 0026805338 scopus 로고
    • Three-dimensional optimal perturbations in viscous shear flow
    • BUTLER, K. M. & FARRELL, B. F. 1992 Three-dimensional optimal perturbations in viscous shear flow. Phys. Fluids A 4 (8), 1637-1650.
    • (1992) Phys. Fluids A , vol.4 , Issue.8 , pp. 1637-1650
    • BUTLER, K.M.1    FARRELL, B.F.2
  • 9
    • 0037168890 scopus 로고    scopus 로고
    • Subcritical transition in channel flows
    • CHAPMAN, S. J. 2002 Subcritical transition in channel flows. J. Fluid Mech. 451, 35-97.
    • (2002) J. Fluid Mech , vol.451 , pp. 35-97
    • CHAPMAN1    J., S.2
  • 10
    • 0023155139 scopus 로고
    • The evolution of instabilities in the axisymmetric jet. Part 2. The flow resulting from the interaction between two waves
    • COHEN, J. & WYGNANSKI, I. 1987 The evolution of instabilities in the axisymmetric jet. Part 2. The flow resulting from the interaction between two waves. J. Fluid Mech. 176, 221-235.
    • (1987) J. Fluid Mech , vol.176 , pp. 221-235
    • COHEN, J.1    WYGNANSKI, I.2
  • 11
    • 0029278542 scopus 로고
    • Transition to turbulence in constant-mass-flux pipe flow
    • DARBYSHIRE, A. G. & MULLIN, T. 1995 Transition to turbulence in constant-mass-flux pipe flow. J. Fluid Mech. 289, 83-114.
    • (1995) J. Fluid Mech , vol.289 , pp. 83-114
    • DARBYSHIRE, A.G.1    MULLIN, T.2
  • 12
    • 84959627643 scopus 로고
    • Finite-amplitude stability of pipe flow
    • DAVEY, A. & NGUYEN, H. P. F. 1971 Finite-amplitude stability of pipe flow. J. Fluid Mech. 45, 701-720.
    • (1971) J. Fluid Mech , vol.45 , pp. 701-720
    • DAVEY, A.1    NGUYEN, H.P.F.2
  • 13
    • 33846046266 scopus 로고    scopus 로고
    • ECKHARDT, B., SCHNEIDER, T. M., HOF., B. & WESTERWEEL, J. 2007 Turbulence transition in pipe flow. Annu. Rev. Fluid Mech. 39 447-468.
    • ECKHARDT, B., SCHNEIDER, T. M., HOF., B. & WESTERWEEL, J. 2007 Turbulence transition in pipe flow. Annu. Rev. Fluid Mech. 39 447-468.
  • 14
    • 0032047020 scopus 로고    scopus 로고
    • Laminar-turbulent transition in Poiseuille pipe flow subjected to periodic perturbation emanating from the wall
    • ELIAHOU, S., TUMIN, A. & WYGNANSKI, I. 1998 Laminar-turbulent transition in Poiseuille pipe flow subjected to periodic perturbation emanating from the wall. J. Fluid Mech. 361, 333-349.
    • (1998) J. Fluid Mech , vol.361 , pp. 333-349
    • ELIAHOU, S.1    TUMIN, A.2    WYGNANSKI, I.3
  • 15
    • 0032024719 scopus 로고    scopus 로고
    • An experimental study of oblique transition in plane Poiseuille flow
    • ELOFSSON, P. A. & ALFREDSSON, P. H. 1998 An experimental study of oblique transition in plane Poiseuille flow. J. Fluid Mech. 358 177-202.
    • (1998) J. Fluid Mech , vol.358 , pp. 177-202
    • ELOFSSON, P.A.1    ALFREDSSON, P.H.2
  • 16
    • 0347319490 scopus 로고    scopus 로고
    • FAISST, H. & ECKHARDT, B. 2003 Traveling waves in pipe flow. Phys. Rev. Lett. 91, 2245021-4.
    • FAISST, H. & ECKHARDT, B. 2003 Traveling waves in pipe flow. Phys. Rev. Lett. 91, 2245021-4.
  • 17
    • 8144227900 scopus 로고    scopus 로고
    • The initial stage of transition in pipe flow: Role of optimal base-flow distortions
    • GAVARINI, M. I., BOTTARO, A. & NIEUWSTADT, F. T. M. 2004 The initial stage of transition in pipe flow: Role of optimal base-flow distortions. J. Fluid Mech. 517, 131-165.
    • (2004) J. Fluid Mech , vol.517 , pp. 131-165
    • GAVARINI, M.I.1    BOTTARO, A.2    NIEUWSTADT, F.T.M.3
  • 18
    • 0000632179 scopus 로고
    • A mechanism for instability of plane Couette flow and of Poiseuille flow in a pipe
    • GILL, A. E. 1965 A mechanism for instability of plane Couette flow and of Poiseuille flow in a pipe. J. Fluid Mech. 21, 503-511.
    • (1965) J. Fluid Mech , vol.21 , pp. 503-511
    • GILL1    E., A.2
  • 19
    • 0026119897 scopus 로고
    • Energy growth of three-dimensional disturbance in plane Poiseuille flow
    • GUSTAVSSON, L. H. 1991 Energy growth of three-dimensional disturbance in plane Poiseuille flow. J. Fluid Mech. 224, 241-260.
    • (1991) J. Fluid Mech , vol.224 , pp. 241-260
    • GUSTAVSSON1    H., L.2
  • 20
    • 0033810945 scopus 로고    scopus 로고
    • Laminar-turbulent transition in Poiseuille pipe flow subjected to periodic perturbation emanating from the wall. Part 2. Late stage of transition
    • HAN, G., TUMIN, A. & WYGNANSKI, I. 2000 Laminar-turbulent transition in Poiseuille pipe flow subjected to periodic perturbation emanating from the wall. Part 2. Late stage of transition. J. Fluid Mech. 419, 1-27.
    • (2000) J. Fluid Mech , vol.419 , pp. 1-27
    • HAN, G.1    TUMIN, A.2    WYGNANSKI, I.3
  • 21
    • 0027390924 scopus 로고
    • A mechanism for bypass transition from localized disturbances in wall-bounded shear flows
    • HENNINGSON, D. S., LUNDBLADIE A. & JOHANSSON, A. V. 1993 A mechanism for bypass transition from localized disturbances in wall-bounded shear flows. J. Fluid Mech. 250, 169-207.
    • (1993) J. Fluid Mech , vol.250 , pp. 169-207
    • HENNINGSON, D.S.1    LUNDBLADIE, A.2    JOHANSSON, A.V.3
  • 23
    • 0942300798 scopus 로고    scopus 로고
    • HOF, B., JUEL, A. & MULLIN, T. 2003 Scaling of the turbulent transition threshold in a pipe. Phys. Rev. Lett. 91, 2445021-4.
    • HOF, B., JUEL, A. & MULLIN, T. 2003 Scaling of the turbulent transition threshold in a pipe. Phys. Rev. Lett. 91, 2445021-4.
  • 24
    • 0017538877 scopus 로고
    • Nonlinear stability of parallel flows with subcritical Reynolds numbers. Part 2. Stability of pipe Poiseuille flow to finite axisymmetric disturbances
    • ITOH, N. 1977 Nonlinear stability of parallel flows with subcritical Reynolds numbers. Part 2. Stability of pipe Poiseuille flow to finite axisymmetric disturbances. J. Fluid Mech. 82, 469-479.
    • (1977) J. Fluid Mech , vol.82 , pp. 469-479
    • ITOH, N.1
  • 25
    • 26944469323 scopus 로고    scopus 로고
    • Recent progress in understanding the transition to turbulence in a pipe
    • KERSWELL, R. R. 2005 Recent progress in understanding the transition to turbulence in a pipe. Nonlinearity 18, R17-R44.
    • (2005) Nonlinearity , vol.18
    • KERSWELL1    R., R.2
  • 26
    • 0023799269 scopus 로고
    • The long-wave instability of a defect in a uniform parallel shear
    • LERNER, J. & KNOBLOCH E. 1988 The long-wave instability of a defect in a uniform parallel shear. J. Fluid Mech. 189, 117-134.
    • (1988) J. Fluid Mech , vol.189 , pp. 117-134
    • LERNER, J.1    KNOBLOCH, E.2
  • 27
    • 0013011315 scopus 로고
    • Stability of pipe Poiseuille flow
    • LESSEN, M., SADLER, G. S. & LIU, T. 1968 Stability of pipe Poiseuille flow. Phys. Fluids 11, 1404-1409.
    • (1968) Phys. Fluids , vol.11 , pp. 1404-1409
    • LESSEN, M.1    SADLER, G.S.2    T., L.I.U.3
  • 28
    • 0038606952 scopus 로고    scopus 로고
    • Streak breakdown instability in pipe Poiseuille flow
    • MESEGUER, A. 2003 Streak breakdown instability in pipe Poiseuille flow. Phys. Fluids 15, 1203-1213.
    • (2003) Phys. Fluids , vol.15 , pp. 1203-1213
    • MESEGUER, A.1
  • 30
    • 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
  • 31
    • 0014555107 scopus 로고
    • Some observations on skin friction and velocity profiles in fully developed pipe and channel flows
    • PATEL, V. C. & HEAD, M. R. 1969 Some observations on skin friction and velocity profiles in fully developed pipe and channel flows. J. Fluid Mech. 38, 181-201.
    • (1969) J. Fluid Mech , vol.38 , pp. 181-201
    • PATEL, V.C.1    HEAD, M.R.2
  • 32
    • 33644872810 scopus 로고    scopus 로고
    • Decay of turbulence in pipe flow
    • PEIXINHO, J. & MULLIN, T. 2006 Decay of turbulence in pipe flow. Phys. Rev. Lett. 96, 094501-4.
    • (2006) Phys. Rev. Lett , vol.96 , pp. 094501-094504
    • PEIXINHO, J.1    MULLIN, T.2
  • 33
    • 33144478303 scopus 로고
    • Boundary layer suction experiments with laminar flow at high Reynolds numbers in the inlet length of a tube by various suction methods
    • ed. G. V. Lachman, pp, Pergamon
    • PFENIGER, W. 1961 Boundary layer suction experiments with laminar flow at high Reynolds numbers in the inlet length of a tube by various suction methods. In "Boundary Layer and Flow Control (ed. G. V. Lachman), pp. 961-980. Pergamon.
    • (1961) Boundary Layer and Flow Control , pp. 961-980
    • PFENIGER, W.1
  • 34
    • 34247095691 scopus 로고    scopus 로고
    • Scaling law for subcritical transition in plane Poiseuille flow
    • PHILIP, J., SVIZHER, A. & COHEN, J. 2007 Scaling law for subcritical transition in plane Poiseuille flow. Phys. Rev. Lett. 98, 154502.
    • (2007) Phys. Rev. Lett , vol.98 , pp. 154502
    • PHILIP, J.1    SVIZHER, A.2    COHEN, J.3
  • 35
    • 0027392527 scopus 로고
    • Energy growth in viscous channel flows
    • REDDY, S. C. & HENNINGSON, D. S. 1993 Energy growth in viscous channel flows. J. Fluid Mech. 252, 209-238.
    • (1993) J. Fluid Mech , vol.252 , pp. 209-238
    • REDDY, S.C.1    HENNINGSON, D.S.2
  • 36
    • 0035340386 scopus 로고    scopus 로고
    • Transient growth: A factor in bypass transition
    • RESHOTKO, E. 2001 Transient growth: A factor in bypass transition. Phys. Fluids 13, 1067-1075.
    • (2001) Phys. Fluids , vol.13 , pp. 1067-1075
    • RESHOTKO, E.1
  • 37
    • 0035322307 scopus 로고    scopus 로고
    • Spatial theory of optimal disturbances in a circular pipe flow
    • RESHOTKO, E. & TUMIN, A. 2001 Spatial theory of optimal disturbances in a circular pipe flow. Phys. Fluids 13, 991-996.
    • (2001) Phys. Fluids , vol.13 , pp. 991-996
    • RESHOTKO, E.1    TUMIN, A.2
  • 38
    • 0001047881 scopus 로고
    • An experimental investigation of the circumtances which determine whether motion of water shall be direct or sinous and of the law of resistance in parallel channels
    • REYNOLDS, O. 1883 An experimental investigation of the circumtances which determine whether motion of water shall be direct or sinous and of the law of resistance in parallel channels. Phil. Trans. R. Soc. Lond. 174, 935-982.
    • (1883) Phil. Trans. R. Soc. Lond , vol.174 , pp. 935-982
    • REYNOLDS, O.1
  • 39
    • 0000765330 scopus 로고
    • Stability of plane-parallel Couette flow
    • ROMANOV, V. A. 1973 Stability of plane-parallel Couette flow. Funct. Anal. Appl. 7 (2), 137-146.
    • (1973) Funct. Anal. Appl , vol.7 , Issue.2 , pp. 137-146
    • ROMANOV1    A., V.2
  • 40
    • 0007888833 scopus 로고
    • Further observations on transition in a pipe
    • ed. R. Eppler & H. Fasel, pp, Springer
    • RUBIN, Y., WYGNANSKI, I. & HARITONIDIS, J. H. 1980 Further observations on transition in a pipe. In Laminar-Turbulent Transition (ed. R. Eppler & H. Fasel), pp. 19-26. Springer.
    • (1980) Laminar-Turbulent Transition , pp. 19-26
    • RUBIN, Y.1    WYGNANSKI, I.2    HARITONIDIS, J.H.3
  • 41
    • 0019018916 scopus 로고
    • Linear stability of Poiseuille flow in a circular pipe
    • SALWEN, H., COTTON, F. W. & GROSCH, C. E. 1980 Linear stability of Poiseuille flow in a circular pipe. J. Fluid Mech. 98, 273-284.
    • (1980) J. Fluid Mech , vol.98 , pp. 273-284
    • SALWEN, H.1    COTTON, F.W.2    GROSCH, C.E.3
  • 42
    • 0028519595 scopus 로고
    • Optimal energy density growth in Hagen-Poiseuille flow
    • SCHMID, P. J. & HENNINGSON, D. S. 1994 Optimal energy density growth in Hagen-Poiseuille flow. J. Fluid Mech. 277, 197-225.
    • (1994) J. Fluid Mech , vol.277 , pp. 197-225
    • SCHMID, P.J.1    HENNINGSON, D.S.2
  • 44
    • 34547414467 scopus 로고    scopus 로고
    • Turbulence transition and the edge of chaos in pipe flow
    • to appear
    • SCHNEIDER, T. M., ECKHARDT, B. & YORKE, J. A. 2007 Turbulence transition and the edge of chaos in pipe flow. Phys. Rev. Lett. (to appear).
    • (2007) Phys. Rev. Lett
    • SCHNEIDER, T.M.1    ECKHARDT, B.2    YORKE, J.A.3
  • 45
    • 0020477831 scopus 로고
    • Amplitude-dependent neutral modes in Hagen-Poiseuille flow through a circular pipe
    • SMITH, F. T. & BODONYI, R. J. 1982 Amplitude-dependent neutral modes in Hagen-Poiseuille flow through a circular pipe. Proc. R. Soc. Lond. A 384, 463-489.
    • (1982) Proc. R. Soc. Lond. A , vol.384 , pp. 463-489
    • SMITH, F.T.1    BODONYI, R.J.2
  • 46
    • 33645653865 scopus 로고    scopus 로고
    • SVIZHER, A. & COHEN, J. 2006 Holographic particle image velocimetry measurements of hairpin vortices in a subcritical air channel flow. Phys. Fluids 18, 014105-1-14.
    • SVIZHER, A. & COHEN, J. 2006 Holographic particle image velocimetry measurements of hairpin vortices in a subcritical air channel flow. Phys. Fluids 18, 014105-1-14.
  • 47
    • 1542307975 scopus 로고
    • The stability of plane-Poiseuille flow
    • THOMAS, L. H. 1953 The stability of plane-Poiseuille flow. Phys. Rev. 91, 780-783.
    • (1953) Phys. Rev , vol.91 , pp. 780-783
    • THOMAS1    H., L.2
  • 48
    • 0026796914 scopus 로고
    • Experiments on transition in plane Couette flow
    • TELEMARK, N. & ALFREDSSON, H. 1992 Experiments on transition in plane Couette flow. J. Fluid Mech. 235, 89-102.
    • (1992) J. Fluid Mech , vol.235 , pp. 89-102
    • TELEMARK, N.1    ALFREDSSON, H.2
  • 49
    • 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
  • 50
    • 0030851932 scopus 로고    scopus 로고
    • On a self-sustaining process in shear flows
    • WALEFFE, F. 1997 On a self-sustaining process in shear flows. Phys. Fluids 9, 883-900.
    • (1997) Phys. Fluids , vol.9 , pp. 883-900
    • WALEFFE, F.1
  • 51
    • 2942685048 scopus 로고    scopus 로고
    • Exact coherent structures in pipe flow: Travelling wave solutions
    • WEDIN, H. & KERSWELL, R. R. 2004 Exact coherent structures in pipe flow: Travelling wave solutions. J. Fluid Mech. 508, 333-371.
    • (2004) J. Fluid Mech , vol.508 , pp. 333-371
    • WEDIN, H.1    KERSWELL, R.R.2
  • 52
    • 33846371534 scopus 로고    scopus 로고
    • Critical behavior in the relaminarization of localized turbulence in pipe flow
    • WILLIS, A. P. & KERSWELL, R. R. 2007 Critical behavior in the relaminarization of localized turbulence in pipe flow. Phys. Rev. Lett. 98, 014501-4.
    • (2007) Phys. Rev. Lett , vol.98 , pp. 014501-014504
    • WILLIS, A.P.1    KERSWELL, R.R.2
  • 53
    • 84976027540 scopus 로고
    • On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug
    • WYGNANSKI, I. J. & CHAMPAGNE, F. H. 1973 On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug. J. Fluid Mech. 59, 281-335.
    • (1973) J. Fluid Mech , vol.59 , pp. 281-335
    • WYGNANSKI, I.J.1    CHAMPAGNE, F.H.2
  • 54
    • 0016507411 scopus 로고
    • On transition in a pipe. Part 2. The equilibrium puff
    • WYGNANSKI, I., SOKOLOV, M. & FRIEDMAN, D. 1975 On transition in a pipe. Part 2. The equilibrium puff. J. Fluid Mech. 69, 283-304.
    • (1975) J. Fluid Mech , vol.69 , pp. 283-304
    • WYGNANSKI, I.1    SOKOLOV, M.2    FRIEDMAN, D.3
  • 55
    • 0000088852 scopus 로고    scopus 로고
    • On the stability of pipe Poiseuille flow
    • ZiKANOV, O. Y. 1996 On the stability of pipe Poiseuille flow. Phys. Fluids 8 (11), 2923-2932.
    • (1996) Phys. Fluids , vol.8 , Issue.11 , pp. 2923-2932
    • ZiKANOV1    Y., O.2


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