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Volumn 627, Issue , 2009, Pages 97-128

Observation of laminar-turbulent transition of a yield stress fluid in Hagen-Poiseuille flow

Author keywords

[No Author keywords available]

Indexed keywords

DOPPLER EFFECT; LASER DOPPLER VELOCIMETERS; NON NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS; PROBABILITY DISTRIBUTIONS; REYNOLDS NUMBER; SHEAR FLOW; SHEAR THINNING; TURBULENCE;

EID: 67650892224     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009005813     Document Type: Article
Times cited : (55)

References (75)
  • 1
    • 0023341691 scopus 로고    scopus 로고
    • Experimental study of the flow properties of a homogeneous slurry near transitional Reynolds numbers
    • ABBAS, M. A. & CROWE, C. T. 1987 Experimental study of the flow properties of a homogeneous slurry near transitional Reynolds numbers. Intl J. Multiphase Flow 13 (3), 357-364.
    • (1987) Intl J. Multiphase Flow , vol.13 , Issue.3 , pp. 357-364
    • ABBAS, M.A.1    CROWE, C.T.2
  • 2
    • 0033620862 scopus 로고    scopus 로고
    • A consistent thin-layer theory for Bingham plastics
    • BALMFORTH, N. J. & CRASTER, R. V. 1999 A consistent thin-layer theory for Bingham plastics. J. Non-Newt. Fluid Mech. 84, 65-81.
    • (1999) J. Non-Newt. Fluid Mech , vol.84 , pp. 65-81
    • BALMFORTH, N.J.1    CRASTER, R.V.2
  • 3
    • 0022662571 scopus 로고    scopus 로고
    • BANDYOPADHYAY, P. R. 1986 Aspects of the equilibrium puff in transitional pipe flow. J. Fluid Mech. 163, 439-458.
    • BANDYOPADHYAY, P. R. 1986 Aspects of the equilibrium puff in transitional pipe flow. J. Fluid Mech. 163, 439-458.
  • 4
    • 0017915091 scopus 로고    scopus 로고
    • BERMAN, N. S. 1978 Drag reduction by polymers. Annu. Rev. Fluid Mech. 10, 47-64.
    • BERMAN, N. S. 1978 Drag reduction by polymers. Annu. Rev. Fluid Mech. 10, 47-64.
  • 5
    • 67650899242 scopus 로고    scopus 로고
    • BEWERSDORFF, H. W. 1991 Turbulence structure of dilute polymer and surfactant solutions in, artificially roughened pipes. In Sixth European Drag Reduction Working Meeting, Eindhoven University of Technology.
    • BEWERSDORFF, H. W. 1991 Turbulence structure of dilute polymer and surfactant solutions in, artificially roughened pipes. In Sixth European Drag Reduction Working Meeting, Eindhoven University of Technology.
  • 7
    • 0000928708 scopus 로고    scopus 로고
    • BOGUE, D. C. 1959 Entrance effects and prediction of turbulence in non-Newtonian flow. Ind. Engng Chem. 51, 874-878.
    • BOGUE, D. C. 1959 Entrance effects and prediction of turbulence in non-Newtonian flow. Ind. Engng Chem. 51, 874-878.
  • 8
    • 85124574617 scopus 로고    scopus 로고
    • CHAPMAN, S. J. 2002 Subcritical transition in channel flows. J. Fluid Mech. 451, 35-97.
    • CHAPMAN, S. J. 2002 Subcritical transition in channel flows. J. Fluid Mech. 451, 35-97.
  • 9
    • 0015599958 scopus 로고    scopus 로고
    • CHEN, R. Y. 1973 Flow in the entrance region at low Reynolds numbers. J. Fluids Engng 95, 153-158.
    • CHEN, R. Y. 1973 Flow in the entrance region at low Reynolds numbers. J. Fluids Engng 95, 153-158.
  • 10
    • 0029278542 scopus 로고
    • Transition to turbulence in contant-mass-flux pipe flow
    • DARBYSHIRE, A. G. & MULLIN, T. 1995 Transition to turbulence in contant-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
  • 11
    • 84984086897 scopus 로고
    • Turbulent flow of non-Newtonian systems
    • DODGE, D. W. & METZNER, A. B. 1959 Turbulent flow of non-Newtonian systems. A.I.Ch.E. J. 5, 189-204.
    • (1959) A.I.Ch.E. J , vol.5 , pp. 189-204
    • DODGE, D.W.1    METZNER, A.B.2
  • 13
    • 0032317905 scopus 로고    scopus 로고
    • Laminar-turbulent transition in pipe flow for Newtonian and non-Newtonian fluids
    • DRAAD, A. A., KUIKEN, G. D. C. & NIEUWSTADT, F. T. M. 1998 Laminar-turbulent transition in pipe flow for Newtonian and non-Newtonian fluids. J. Fluid Mech. 377, 267-312.
    • (1998) J. Fluid Mech , vol.377 , pp. 267-312
    • DRAAD, A.A.1    KUIKEN, G.D.C.2    NIEUWSTADT, F.T.M.3
  • 14
    • 0542416924 scopus 로고    scopus 로고
    • The Earth's rotation and laminar pipe flow
    • DRAAD, A. A. & NIEUWSTADT, F. T. M. 1998 The Earth's rotation and laminar pipe flow. J. Fluid Mech. 361, 297-308.
    • (1998) J. Fluid Mech , vol.361 , pp. 297-308
    • DRAAD, A.A.1    NIEUWSTADT, F.T.M.2
  • 16
    • 27944500719 scopus 로고    scopus 로고
    • The development lengths of laminar pipe and channel flows
    • DURST, F., RAY, S., UNSAL, B. & BAYOUMI, O. A. 2005 The development lengths of laminar pipe and channel flows. J. Fluids Engng 127, 1154-1160.
    • (2005) J. Fluids Engng , vol.127 , pp. 1154-1160
    • DURST, F.1    RAY, S.2    UNSAL, B.3    BAYOUMI, O.A.4
  • 18
    • 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
  • 19
    • 20344380415 scopus 로고    scopus 로고
    • Observations of asymmetrical flow behaviour in transitional pipe flow of yield-stress and other shear-thinning liquids
    • ESCUDIER, M. P., POOLE, R. J., PRESTI, F., DALES, C., NOUAR, C., DESAUBRY, C., GRAHAM, L. & PULLUM, L. 2005 Observations of asymmetrical flow behaviour in transitional pipe flow of yield-stress and other shear-thinning liquids. J. Non-Newt. Fluid Mech. 127 143-155.
    • (2005) J. Non-Newt. Fluid Mech , vol.127 , pp. 143-155
    • ESCUDIER, M.P.1    POOLE, R.J.2    PRESTI, F.3    DALES, C.4    NOUAR, C.5    DESAUBRY, C.6    GRAHAM, L.7    PULLUM, L.8
  • 21
    • 0033101787 scopus 로고    scopus 로고
    • Drag reduction in the turbulent pipe flow of polymers
    • ESCUDIER, M. P., PRESTI, F. & SMITH, F. 1999 Drag reduction in the turbulent pipe flow of polymers. J. Non-Newt. Fluid Mech. 81 197-213.
    • (1999) J. Non-Newt. Fluid Mech , vol.81 , pp. 197-213
    • ESCUDIER, M.P.1    PRESTI, F.2    SMITH, F.3
  • 22
    • 44849089947 scopus 로고    scopus 로고
    • Transitional flow of a yield stress fluid in a pipe: Evidence of a robust coherent structure
    • ESMAEL, A. & NOUAR, C. 2008 Transitional flow of a yield stress fluid in a pipe: Evidence of a robust coherent structure. Phys. Rev. E 77, 057302.
    • (2008) Phys. Rev. E , vol.77 , pp. 057302
    • ESMAEL, A.1    NOUAR, C.2
  • 23
    • 0347319490 scopus 로고    scopus 로고
    • Travelling waves in pipe flow
    • FAISST, H. & ECKHARDT, B. 2003 Travelling waves in pipe flow. Phys. Rev. Lett. 91, 224502.
    • (2003) Phys. Rev. Lett , vol.91 , pp. 224502
    • FAISST, H.1    ECKHARDT, B.2
  • 24
    • 0028385349 scopus 로고
    • On the stability of Poiseuille flow of a Bingham fluid
    • FRIGAARD, I. A., HOWISON, S. D. & SOBEY, I. J. 1994 On the stability of Poiseuille flow of a Bingham fluid. J. Fluid Mech. 263, 133-150.
    • (1994) J. Fluid Mech , vol.263 , pp. 133-150
    • FRIGAARD, I.A.1    HOWISON, S.D.2    SOBEY, I.J.3
  • 25
    • 0242286637 scopus 로고    scopus 로고
    • On three-dimensional linear stability of Poiseuille flow of Bingham fluids
    • FRIGAARD, I. A. & NOUAR, C. 2003 On three-dimensional linear stability of Poiseuille flow of Bingham fluids. Phys. Fluids 15 2843-2851.
    • (2003) Phys. Fluids , vol.15 , pp. 2843-2851
    • FRIGAARD, I.A.1    NOUAR, C.2
  • 26
    • 5744230397 scopus 로고    scopus 로고
    • Flow of a visco-plastic fluid in a channel of slowly varying width
    • FRIGAARD, I. A. & RYAN, D. P. 2004 Flow of a visco-plastic fluid in a channel of slowly varying width. J. Non-Newt. Fluid Mech. 123, 67-83.
    • (2004) J. Non-Newt. Fluid Mech , vol.123 , pp. 67-83
    • FRIGAARD, I.A.1    RYAN, D.P.2
  • 28
    • 33044493998 scopus 로고
    • The laminar flow of plastic disperse systems in circular tubes
    • FROISHTETER, G. B. & VINOGRADOV, G. V. 1980 The laminar flow of plastic disperse systems in circular tubes. Rheol. Acta. 19, 239-250.
    • (1980) Rheol. Acta , vol.19 , pp. 239-250
    • FROISHTETER, G.B.1    VINOGRADOV, G.V.2
  • 30
    • 85126162805 scopus 로고    scopus 로고
    • GUO, B., SUN, K. & GHALAMBOR, A. 2004 A closed-form hydraulics equation for aerated-mud drilling in inclined wells. SPE Dril. Compl. 19 (2), 72-81.
    • GUO, B., SUN, K. & GHALAMBOR, A. 2004 A closed-form hydraulics equation for aerated-mud drilling in inclined wells. SPE Dril. Compl. 19 (2), 72-81.
  • 31
    • 0028976489 scopus 로고
    • Regenaration mechanism of near-wall turbulence structures
    • HAMILTON, J. M., KIM, J. & WALEFFE, F. 1995 Regenaration mechanism of near-wall turbulence structures. J. Fluid Mech. 287, 317-348.
    • (1995) J. Fluid Mech , vol.287 , pp. 317-348
    • HAMILTON, J.M.1    KIM, J.2    WALEFFE, F.3
  • 32
    • 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
  • 33
    • 67650892218 scopus 로고
    • On the flow of Bingham plastic slurries in pipes and between parallel plates
    • HANKS, R. W. & PRATT, D. R. 1967 On the flow of Bingham plastic slurries in pipes and between parallel plates. SPE Paper No. 1682.
    • (1682) SPE Paper No
    • HANKS, R.W.1    PRATT, D.R.2
  • 36
    • 0942300798 scopus 로고    scopus 로고
    • HOF, B., JUEL, A. & MULLIN, T. 2003 Scaling of the turbulence transition threshold in a pipe. Phys. Rev. Lett. 91, 244502-1-4.
    • HOF, B., JUEL, A. & MULLIN, T. 2003 Scaling of the turbulence transition threshold in a pipe. Phys. Rev. Lett. 91, 244502-1-4.
  • 37
    • 34547651098 scopus 로고    scopus 로고
    • Recurrence of travelling waves in transitional pipe flow
    • KERSWELL, R. R. & TUTTY, O. R. 2007 Recurrence of travelling waves in transitional pipe flow. J. Fluid Mech. 584, 69-102.
    • (2007) J. Fluid Mech , vol.584 , pp. 69-102
    • KERSWELL, R.R.1    TUTTY, O.R.2
  • 39
    • 67650896031 scopus 로고    scopus 로고
    • LAUFER, J. 1952 The structure of turbulence in fully developed pipe flow. National Advisory Committee of Aeronautics, USA, Report No. 1174.
    • LAUFER, J. 1952 The structure of turbulence in fully developed pipe flow. National Advisory Committee of Aeronautics, USA, Report No. 1174.
  • 40
    • 84958430139 scopus 로고    scopus 로고
    • LEITE, R. J. 1959 An experimental investigation of the stability of Poiseuille flow. J. Fluid Mech. 5, 81-96.
    • LEITE, R. J. 1959 An experimental investigation of the stability of Poiseuille flow. J. Fluid Mech. 5, 81-96.
  • 42
    • 34248231792 scopus 로고    scopus 로고
    • Pipe flow transition threshold following localized impulsive perturbations
    • MELLIBOVSKY, F. & MESEGUER, A. 2007 Pipe flow transition threshold following localized impulsive perturbations. Phys. Fluids 19 044102.
    • (2007) Phys. Fluids , vol.19 , pp. 044102
    • MELLIBOVSKY, F.1    MESEGUER, A.2
  • 43
    • 33645781324 scopus 로고    scopus 로고
    • Linear stability involving the Bingham model when the yield stress approaches zero
    • MÉTIVIER, C., NOUAR, C. & BRANCHER, J.-P. 2005 Linear stability involving the Bingham model when the yield stress approaches zero. Phys. Fluids 17, 104106.
    • (2005) Phys. Fluids , vol.17 , pp. 104106
    • MÉTIVIER, C.1    NOUAR, C.2    BRANCHER, J.-P.3
  • 44
    • 84978395198 scopus 로고
    • Flow of non-Newtonian fluids - correlation of the laminar, transition and turbulent-flow regions
    • METZNER, A. B. & REED, J. C. 1955 Flow of non-Newtonian fluids - correlation of the laminar, transition and turbulent-flow regions. A.I.Ch.E. J. 1, 434-440.
    • (1955) A.I.Ch.E. J , vol.1 , pp. 434-440
    • METZNER, A.B.1    REED, J.C.2
  • 45
    • 0022076237 scopus 로고
    • Direct yield stress measurement with the vane method
    • NGUYEN, Q. D. & BOGER, D. V. 1985 Direct yield stress measurement with the vane method. J. Rheol. 29, 335-347.
    • (1985) J. Rheol , vol.29 , pp. 335-347
    • NGUYEN, Q.D.1    BOGER, D.V.2
  • 47
    • 0035440854 scopus 로고    scopus 로고
    • Nonlinear stability of Poiseuille flow of a Bingham fluid
    • NOUAR, C. & FRIGAARD, I. A. 2001 Nonlinear stability of Poiseuille flow of a Bingham fluid. J. Non-Newt. Fluid Mech. 100, 127-149.
    • (2001) J. Non-Newt. Fluid Mech , vol.100 , pp. 127-149
    • NOUAR, C.1    FRIGAARD, I.A.2
  • 48
    • 34548178012 scopus 로고    scopus 로고
    • Modal and non-modal linear stability of the plane Bingham - Poiseuille flow
    • NOUAR, C., KABOUYA, N., DUSEK, J. & MAMOU, M. 2007 Modal and non-modal linear stability of the plane Bingham - Poiseuille flow. J. Fluid Mech. 577, 211-239.
    • (2007) J. Fluid Mech , vol.577 , pp. 211-239
    • NOUAR, C.1    KABOUYA, N.2    DUSEK, J.3    MAMOU, M.4
  • 49
  • 51
    • 22544436961 scopus 로고    scopus 로고
    • Laminar transitional and turbulent flow of yield-stress fluid in a pipe
    • PEIXINHO, J., J., NOUAR, C., DESAUBRY, C. & THERON, B. 2005 Laminar transitional and turbulent flow of yield-stress fluid in a pipe. J. Non-Newt. Fluid Mech. 128, 172-184.
    • (2005) J. Non-Newt. Fluid Mech , vol.128 , pp. 172-184
    • PEIXINHO, J.J.1    NOUAR, C.2    DESAUBRY, C.3    THERON, B.4
  • 52
    • 17144455922 scopus 로고
    • Scaling laws for pipe-flow turbulence
    • PERRY, A. E. & ABELL, C. J. 1978 Scaling laws for pipe-flow turbulence. J. Fluid Mech. 67, 257-271.
    • (1978) J. Fluid Mech , vol.67 , pp. 257-271
    • PERRY, A.E.1    ABELL, C.J.2
  • 53
    • 35949002410 scopus 로고    scopus 로고
    • Development-length requirements for fully developed laminar pipe flow of inelastic non-newtonian liquids
    • POOLE, R. J. & RIDLEY, B. S. 2007 Development-length requirements for fully developed laminar pipe flow of inelastic non-newtonian liquids. J. Fluids Engng 129, 1281-1287.
    • (2007) J. Fluids Engng , vol.129 , pp. 1281-1287
    • POOLE, R.J.1    RIDLEY, B.S.2
  • 55
    • 0001047881 scopus 로고
    • An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and the law of resistance in parallel channels
    • REYNOLDS, O. 1883 An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and 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
  • 57
    • 0025519632 scopus 로고    scopus 로고
    • SHAH, S. N. & SUTTOX, D. L. 1990 New friction correlation for cements from pipe and rotational-viscometer data. SPE Prod. Engng 5 (4), 415-424
    • SHAH, S. N. & SUTTOX, D. L. 1990 New friction correlation for cements from pipe and rotational-viscometer data. SPE Prod. Engng 5 (4), 415-424
  • 58
    • 0032671507 scopus 로고    scopus 로고
    • Direct numerical simulation of a puff and a slug in transitional cylindrical pipe flow
    • SHAN, H., MA, B., ZHANG, Z. & NIEUWSTADT, F. T. M. 1999 Direct numerical simulation of a puff and a slug in transitional cylindrical pipe flow. J. Fluid Mech. 387, 39-60.
    • (1999) J. Fluid Mech , vol.387 , pp. 39-60
    • SHAN, H.1    MA, B.2    ZHANG, Z.3    NIEUWSTADT, F.T.M.4
  • 59
    • 67650899241 scopus 로고    scopus 로고
    • SLATTER, P. T. 1999 The laminar-turbulent transition in large pipes. International Conference Problems in Fluid Mechanics and Hydrology, Prague, pp. 247-256.
    • SLATTER, P. T. 1999 The laminar-turbulent transition in large pipes. International Conference Problems in Fluid Mechanics and Hydrology, Prague, pp. 247-256.
  • 61
    • 0016930239 scopus 로고
    • Entrance flow of a yield-power law fluid
    • SOTO, R. J. & SHAH, V. L. 1976 Entrance flow of a yield-power law fluid. Appl. Sci. Res. 32, 73-85.
    • (1976) Appl. Sci. Res , vol.32 , pp. 73-85
    • SOTO, R.J.1    SHAH, V.L.2
  • 62
    • 67650896032 scopus 로고    scopus 로고
    • TAYLOR, G. I. 1938. The spectrum of turbulence. Proc. R. Soc. London, Ser. A 164, 476.
    • TAYLOR, G. I. 1938. The spectrum of turbulence. Proc. R. Soc. London, Ser. A 164, 476.
  • 63
    • 0345502448 scopus 로고
    • Laminar-turbulent transition in pipe flow: Development and structure of the turbulent slug
    • Stuttgart, Germany, Springer
    • TEITGEN, R. 1980 Laminar-turbulent transition in pipe flow: development and structure of the turbulent slug. Laminar-Turbulent Transition, IUTAM Symposium, Stuttgart, Germany, vol. 1979, pp. 27-36. Springer.
    • (1980) Laminar-Turbulent Transition, IUTAM Symposium , vol.1979 , pp. 27-36
    • TEITGEN, R.1
  • 64
    • 0001120496 scopus 로고    scopus 로고
    • Reynolds number effects in a turbulent pipe flow for low to moderate
    • TOONDER, J. M. J. & NIEUWSTADT, F. T. M. 1997 Reynolds number effects in a turbulent pipe flow for low to moderate Rev. Phys. Fluids 9, 3398-3409.
    • (1997) Rev. Phys. Fluids , vol.9 , pp. 3398-3409
    • TOONDER, J.M.J.1    NIEUWSTADT, F.T.M.2
  • 66
    • 0023341691 scopus 로고    scopus 로고
    • Experimental study of the flow properties of a homogeneous slurry near transitional Reynolds numbers
    • TURIAN, R. M., MA, T. W., HSU, F. L. G. & SUNG, D. J. 1998 Experimental study of the flow properties of a homogeneous slurry near transitional Reynolds numbers. Intl J. Multiphase Flow 13 (3), 357-364.
    • (1998) Intl J. Multiphase Flow , vol.13 , Issue.3 , pp. 357-364
    • TURIAN, R.M.1    MA, T.W.2    HSU, F.L.G.3    SUNG, D.J.4
  • 67
    • 0030851932 scopus 로고    scopus 로고
    • On a self-sustaining mechanism in shear flows
    • WALEFFE, F. 1997 On a self-sustaining mechanism in shear flows. Phys. Fluids 9, 883-900.
    • (1997) Phys. Fluids , vol.9 , pp. 883-900
    • WALEFFE, F.1
  • 68
    • 2942685048 scopus 로고    scopus 로고
    • Exact coherent solutions in pipe flow : Travelling wave solutions
    • WEDIN, H. & KERSWELL, R. R. 2004 Exact coherent solutions 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
  • 69
    • 39049131302 scopus 로고    scopus 로고
    • Mechanics and prediction of turbulent drag reduction with polymer additives
    • WHITE, C. M. & MUNGAL, M. G. 2008 Mechanics and prediction of turbulent drag reduction with polymer additives. Annu. Rev. Fluid Mech. 40, 235-256.
    • (2008) Annu. Rev. Fluid Mech , vol.40 , pp. 235-256
    • WHITE, C.M.1    MUNGAL, M.G.2
  • 70
    • 67650889291 scopus 로고    scopus 로고
    • WHITE, F. M. 1999 Fluid Mechanics, 4th ed. McGraw-Hill.
    • WHITE, F. M. 1999 Fluid Mechanics, 4th ed. McGraw-Hill.
  • 71
    • 3042826210 scopus 로고    scopus 로고
    • Friction pressures of Newtonian and non-Newtonian fluids in straight and reeled coiled tubing
    • SPE Paper No. 60719-MS, 5-6 April, Houston, TX
    • WILLINGHAM, J. D. & SHAH, S. N. 2000 Friction pressures of Newtonian and non-Newtonian fluids in straight and reeled coiled tubing. SPE Paper No. 60719-MS. Proceedings of the SPE/ICoTA Coiled Tubing Roundtable, 5-6 April 2000, Houston, TX.
    • (2000) Proceedings of the SPE/ICoTA Coiled Tubing Roundtable
    • WILLINGHAM, J.D.1    SHAH, S.N.2
  • 72
    • 0022107737 scopus 로고
    • A new analysis of the turbulent flow of non-Newtonian fluids
    • WILSON, K. C. & THOMAS, A. D. 1985 A new analysis of the turbulent flow of non-Newtonian fluids. Can. J. Chem. Engng 63, 539-546.
    • (1985) Can. J. Chem. Engng , vol.63 , pp. 539-546
    • WILSON, K.C.1    THOMAS, A.D.2
  • 73
    • 33751010472 scopus 로고    scopus 로고
    • Analytic model of laminar-turbulent transition for Bingham plastics
    • WILSON, K.C. & THOMAS, A. D. 2006 Analytic model of laminar-turbulent transition for Bingham plastics. Can. J. Chem. Engng 84 (5), 520-526.
    • (2006) Can. J. Chem. Engng , vol.84 , Issue.5 , pp. 520-526
    • WILSON, K.C.1    THOMAS, A.D.2
  • 74
    • 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
  • 75
    • 0016507411 scopus 로고
    • On transition in a pipe. Part 2. The equilibrium puff
    • WYGNANSKI, I. J., 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.J.1    SOKOLOV, M.2    FRIEDMAN, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.