메뉴 건너뛰기




Volumn 186, Issue 1, 2003, Pages 178-197

Linearized pipe flow to Reynolds number 107

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LINEARIZATION;

EID: 0037456950     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00029-9     Document Type: Article
Times cited : (212)

References (37)
  • 1
    • 0031126310 scopus 로고    scopus 로고
    • Low-dimensional models of subcritical transition to turbulence
    • J.S. Baggett, L.N. Trefethen, Low-dimensional models of subcritical transition to turbulence, Phys. Fluids 9 (1997) 1043.
    • (1997) Phys. Fluids , vol.9 , pp. 1043
    • Baggett, J.S.1    Trefethen, L.N.2
  • 2
    • 0027533064 scopus 로고
    • Optimal growth of small disturbances in pipe Poiseuille flow
    • L. Bergström, Optimal growth of small disturbances in pipe Poiseuille flow, Phys. Fluids A 11 (1993) 2710.
    • (1993) Phys. Fluids A , vol.11 , pp. 2710
    • Bergström, L.1
  • 3
    • 77950880721 scopus 로고
    • Onset of turbulence in a pipe
    • L. Boberg, U. Brosa, Onset of turbulence in a pipe, Z. Naturforsch. 43a (1988) 696.
    • (1988) Z. Naturforsch. , vol.43 a , pp. 696
    • Boberg, L.1    Brosa, U.2
  • 4
    • 0026805338 scopus 로고
    • Three-dimensional optimal perturbations in viscous shear flow
    • K.M. Butler, B.F. Farrell, Three-dimensional optimal perturbations in viscous shear flow, Phys. Fluids A 4 (1992) 1637.
    • (1992) Phys. Fluids A , vol.4 , pp. 1637
    • Butler, K.M.1    Farrell, B.F.2
  • 6
    • 0037168890 scopus 로고    scopus 로고
    • Subcritical transition in channel flows
    • S.J. Chapman, Subcritical transition in channel flows, J. Fluid Mech. 451 (2002) 35.
    • (2002) J. Fluid Mech. , vol.451 , pp. 35
    • Chapman, S.J.1
  • 7
    • 0029278542 scopus 로고
    • Transition to turbulence in constant mass-flux pipe flow
    • A.G. Darybyshire, T. Mullin, Transition to turbulence in constant mass-flux pipe flow, J. Fluid Mech. 289 (1995) 83.
    • (1995) J. Fluid Mech. , vol.289 , pp. 83
    • Darybyshire, A.G.1    Mullin, T.2
  • 8
    • 0032317905 scopus 로고    scopus 로고
    • Laminar-turbulent transition in pipe flow for Newtonian and non-Newtonian fluids
    • A.A. Draad, G.D.C. Kuiken, F.T.M. Nieuwstadt, Laminar-turbulent transition in pipe flow for Newtonian and non-Newtonian fluids, J. Fluid Mech. 377 (1998) 267.
    • (1998) J. Fluid Mech. , vol.377 , pp. 267
    • Draad, A.A.1    Kuiken, G.D.C.2    Nieuwstadt, F.T.M.3
  • 11
    • 0001164514 scopus 로고
    • Chaos transition despite linear stability
    • T. Gebhardt, S. Grossmann, Chaos transition despite linear stability, Phys. Rev. E 50 (1994) 3705.
    • (1994) Phys. Rev. E , vol.50 , pp. 3705
    • Gebhardt, T.1    Grossmann, S.2
  • 12
    • 0026119897 scopus 로고
    • Energy growth of three-dimensional disturbances in plane Poiseuille flow
    • L.H. Gustavsson, Energy growth of three-dimensional disturbances in plane Poiseuille flow, J. Fluid Mech. 224 (1991) 241.
    • (1991) J. Fluid Mech. , vol.224 , pp. 241
    • Gustavsson, L.H.1
  • 13
    • 85189853384 scopus 로고    scopus 로고
    • Development of a spectrally accurate DNS code for cylindrical geometries part V of J. Komminaho
    • Doctoral Thesis, Royal Institute of Technology, Stockholm
    • J. Komminaho, A.V. Johansson, Development of a spectrally accurate DNS code for cylindrical geometries, part V of J. Komminaho, Direct Numerical Simulation of Turbulent Flow in Plane and Cylindrical Geometries, Doctoral Thesis, Royal Institute of Technology, Stockholm, 2000.
    • (2000) Direct Numerical Simulation of Turbulent Flow in Plane and Cylindrical Geometries
    • Komminaho, J.1    Johansson, A.V.2
  • 14
    • 0028463114 scopus 로고
    • Bounds for threshold amplitudes in subcritical shear flows
    • G. Kreiss, A. Lundbladh, D.S. Henningson, Bounds for threshold amplitudes in subcritical shear flows, J. Fluid Mech. 270 (1994) 175.
    • (1994) J. Fluid Mech. , vol.270 , pp. 175
    • Kreiss, G.1    Lundbladh, A.2    Henningson, D.S.3
  • 16
    • 84861911180 scopus 로고    scopus 로고
    • A new numerical method for the simulation of three dimensional flow in a pipe
    • E. Krause (Ed.), Proceedings of the 8th International Conference on Numerical Methods in Fluid Dynamics, Springer, Berlin
    • A. Leonard, A. Wray, A new numerical method for the simulation of three dimensional flow in a pipe, in: E. Krause (Ed.), Proceedings of the 8th International Conference on Numerical Methods in Fluid Dynamics, Springer, Berlin, 1982,
    • , vol.1982
    • Leonard, A.1    Wray, A.2
  • 17
    • 0000760756 scopus 로고
    • Threshold amplitudes for transition in channel flows
    • Kluwer Academic Publishers, Dordrecht
    • A. Lundbladh, D.S. Henningson, S.C. Reddy, Threshold amplitudes for transition in channel flows, in: Transition, Turbulence and Combustion, vol. I, Kluwer Academic Publishers, Dordrecht, 1994.
    • (1994) Transition, Turbulence and Combustion , vol.1
    • Lundbladh, A.1    Henningson, D.S.2    Reddy, S.C.3
  • 18
    • 0003684615 scopus 로고    scopus 로고
    • A spectral Petrov-Galerkin formulation for pipe flow I: Linear stability and transient growth
    • Rep. 00/18, Numerical Analysis Group, Oxford University, Computing Lab., available at
    • Á. Meseguer and L.N. Trefethen, A spectral Petrov-Galerkin formulation for pipe flow I: linear stability and transient growth, Rep. 00/18, Numerical Analysis Group, Oxford University, Computing Lab., 2000, available at http://web.comlab.ox.ac.uk/oucl/piiblications/natr/.
    • (2000)
    • Meseguer, Á.1    Trefethen, L.N.2
  • 19
    • 0012647021 scopus 로고    scopus 로고
    • A spectral Petrov-Galerkin formulation for pipe flow II: Nonlinear transitional stages
    • Rep. 01/19, Numerical Analysis Group, Oxford University, Computing Lab., available at
    • Á. Meseguer, L.N. Trefethen, A spectral Petrov-Galerkin formulation for pipe flow II: nonlinear transitional stages, Rep. 01/19, Numerical Analysis Group, Oxford University, Computing Lab., 2001, available at http://web.comlab.ox.ac.uk/oucl/piiblications/natr/.
    • (2001)
    • Meseguer, Á.1    Trefethen, L.N.2
  • 20
    • 0000333780 scopus 로고
    • A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flow
    • R.D. Moser, P. Moin, A. Leonard, A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flow, J. Comp. Phys. 52 (1983) 524.
    • (1983) J. Comp. Phys. , vol.52 , pp. 524
    • Moser, R.D.1    Moin, P.2    Leonard, A.3
  • 21
    • 0028042050 scopus 로고
    • Transient growth in a circular pipe. I. Linear disturbances
    • P.L. O'Sullivan, K.S. Breuer, Transient growth in a circular pipe. I. Linear disturbances, Phys. Fluids 6 (1994) 3643.
    • (1994) Phys. Fluids , vol.6 , pp. 3643
    • O'Sullivan, P.L.1    Breuer, K.S.2
  • 22
    • 0001134340 scopus 로고    scopus 로고
    • Accurate Navier-Stokes investigation of transitional and turbulent flows in a circular pipe
    • V.G. Priymak, T. Miyazaki, Accurate Navier-Stokes investigation of transitional and turbulent flows in a circular pipe, J. Comp. Phys. 142 (1998) 370.
    • (1998) J. Comp. Phys. , vol.142 , pp. 370
    • Priymak, V.G.1    Miyazaki, T.2
  • 23
    • 0027392527 scopus 로고
    • Energy growth in viscous channel flows
    • S.C. Reddy, D.S. Henningson, Energy growth in viscous channel flows, J. Fluid Mech. 252 (1993) 209.
    • (1993) J. Fluid Mech. , vol.252 , pp. 209
    • Reddy, S.C.1    Henningson, D.S.2
  • 24
    • 0032092695 scopus 로고    scopus 로고
    • On stability of streamwise streaks and transition thresholds in plane channel flows
    • S.C. Reddy, P.J. Schmid, J.S. Baggett, D.S. Henningson, On stability of streamwise streaks and transition thresholds in plane channel flows, J. Fluid Mech. 365 (1998) 269.
    • (1998) J. Fluid Mech. , vol.365 , pp. 269
    • Reddy, S.C.1    Schmid, P.J.2    Baggett, J.S.3    Henningson, D.S.4
  • 26
    • 0001047881 scopus 로고
    • An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels
    • O. Reynolds, An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels, Philos. Trans. Roy. Soc. 174 (1883) 935.
    • (1883) Philos. Trans. Roy. Soc. , vol.174 , pp. 935
    • Reynolds, O.1
  • 27
    • 0028519595 scopus 로고
    • Optimal energy growth in Hagen-Poiseuille flow
    • P.J. Schmid, D.S. Henningson, Optimal energy growth in Hagen-Poiseuille flow, J. Fluid Mech. 277 (1994) 197.
    • (1994) J. Fluid Mech. , vol.277 , pp. 197
    • Schmid, P.J.1    Henningson, D.S.2
  • 28
    • 0003923141 scopus 로고    scopus 로고
    • Stability and Transition in Shear Flows
    • Springer, New York
    • P.J. Schmid, D.S. Henningson, Stability and Transition in Shear Flows, Springer, New York, 2001.
    • (2001)
    • Schmid, P.J.1    Henningson, D.S.2
  • 29
    • 0032671507 scopus 로고    scopus 로고
    • Direct numerical simulation of a puff and a slug in transitional cylindrical pipe flow
    • H. Shan, B. Ma, Z. Zhang, F.T.M. Nieuwstadt, Direct numerical simulation of a puff and a slug in transitional cylindrical pipe flow, J. Fluid Mech. 387 (1999) 39.
    • (1999) J. Fluid Mech. , vol.387 , pp. 39
    • Shan, H.1    Ma, B.2    Zhang, Z.3    Nieuwstadt, F.T.M.4
  • 30
    • 0031238062 scopus 로고    scopus 로고
    • Pseudospectra of linear operators
    • L.N. Trefethen, Pseudospectra of linear operators, SIAM Rev. 39 (1999) 247.
    • (1999) SIAM Rev. , vol.39 , pp. 247
    • Trefethen, L.N.1
  • 33
    • 0001478326 scopus 로고
    • Divergence-free velocity fields in nonperiodic geometries
    • L.S. Tuckerman, Divergence-free velocity fields in nonperiodic geometries, J. Comp. Phys. 80 (1989) 403.
    • (1989) J. Comp. Phys. , vol.80 , pp. 403
    • Tuckerman, L.S.1
  • 34
    • 85189845413 scopus 로고    scopus 로고
    • Eigtool (MATLAB software package), available at
    • T.G. Wright, Eigtool (MATLAB software package), available at http://www.comlab.ox.ac.uk/pseudospectra/eigtool/.
    • Wright, T.G.1
  • 35
    • 84976027540 scopus 로고
    • On transition in a pipe. The origin of puffs and slugs and the flow in a turbulent slug
    • I.J. Wygnanski, F.H. Champagne, On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug, J. Fluid Mech. 59 (1973) 281.
    • (1973) J. Fluid Mech. , vol.59 , Issue.PART 1 , pp. 281
    • Wygnanski, I.J.1    Champagne, F.H.2
  • 37
    • 0000088852 scopus 로고    scopus 로고
    • On the instability of pipe Poiseuille flow
    • O. Yu. Zikanov, On the instability of pipe Poiseuille flow, Phys. Fluids 8 (1996) 2923.
    • (1996) Phys. Fluids , vol.8 , pp. 2923
    • Zikanov, O.Yu.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.