메뉴 건너뛰기




Volumn 39, Issue 9, 2010, Pages 1733-1743

Petrov-Galerkin computation of nonlinear waves in pipe flow of shear-thinning fluids: First theoretical evidences for a delayed transition

Author keywords

Non Newtonian fluids; Pipe flow; Pseudospectral methods

Indexed keywords

CARREAU; CONVERGENCE PROPERTIES; CRITICAL REYNOLDS NUMBER; EXPONENTIAL CONVERGENCE; IN-PIPE; NEWTONIAN FLUIDS; NON-NEWTONIAN; NON-NEWTONIAN FLUIDS; NONLINEAR NATURE; NONLINEAR WAVES; PETROV-GALERKIN; PSEUDOSPECTRAL; PSEUDOSPECTRAL METHODS; RHEOLOGICAL MODELS; SADDLE NODE BIFURCATION; SHEAR THINNING FLUIDS; TRAVELING WAVE; VISCOSITY FLUIDS; VISCOUS DIFFUSION; WAVE NUMBERS;

EID: 77955049645     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2010.06.011     Document Type: Article
Times cited : (8)

References (28)
  • 1
    • 56849097582 scopus 로고    scopus 로고
    • Repeller or attractor? Selecting the dynamical model for the onset of turbulence in pipe flow
    • Hof B., de Lozar A., Kuik D.J., Westerweel J. Repeller or attractor? Selecting the dynamical model for the onset of turbulence in pipe flow. Phys Rev Lett 2008, 101(1-4):214501.
    • (2008) Phys Rev Lett , vol.101 , Issue.1-4 , pp. 214501
    • Hof, B.1    de Lozar, A.2    Kuik, D.J.3    Westerweel, J.4
  • 3
    • 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., Champagne F. On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug. J Fluid Mech 1973, 59:281-335.
    • (1973) J Fluid Mech , vol.59 , pp. 281-335
    • Wygnanski, I.1    Champagne, F.2
  • 4
    • 0016507411 scopus 로고
    • On transition in a pipe. Part 2. The equilibrium puff
    • Wygnanski I., Sokolov M., Friedman D. On transition in a pipe. Part 2. The equilibrium puff. J Fluid Mech 1975, 69:283-304.
    • (1975) J Fluid Mech , vol.69 , pp. 283-304
    • Wygnanski, I.1    Sokolov, M.2    Friedman, D.3
  • 6
    • 20344380415 scopus 로고    scopus 로고
    • Observations of asymmetrical flow behaviour in transitional pipe flow of yield-stress and other shear-thinning liquids
    • Escudier M., Poole R., Presti F., Dales C., Nouar C., Desaubry C., et al. Observations of asymmetrical flow behaviour in transitional pipe flow of yield-stress and other shear-thinning liquids. J Non-Newtonian Fluid Mech 2005, 127:143-155.
    • (2005) J Non-Newtonian Fluid Mech , vol.127 , pp. 143-155
    • Escudier, M.1    Poole, R.2    Presti, F.3    Dales, C.4    Nouar, C.5    Desaubry, C.6
  • 7
    • 67650578618 scopus 로고    scopus 로고
    • Asymmetry in transitional pipe flow of drag-reducing polymer solutions
    • Escudier M.P., Rosa S., Poole R.J. Asymmetry in transitional pipe flow of drag-reducing polymer solutions. J Non-Newtonian Fluid Mech 2009, 161:19-29.
    • (2009) J Non-Newtonian Fluid Mech , vol.161 , pp. 19-29
    • Escudier, M.P.1    Rosa, S.2    Poole, R.J.3
  • 9
    • 0000034114 scopus 로고    scopus 로고
    • Three-dimensional coherent states in plane shear-flows
    • Waleffe F. Three-dimensional coherent states in plane shear-flows. Phys Rev Lett 1998, 81:4140-4143.
    • (1998) Phys Rev Lett , vol.81 , pp. 4140-4143
    • Waleffe, F.1
  • 10
    • 0347319490 scopus 로고    scopus 로고
    • Traveling waves in pipe flow
    • Faisst H., Eckhardt B. Traveling waves in pipe flow. Phys Rev Lett 2003, 91(1-4):224502.
    • (2003) Phys Rev Lett , vol.91 , Issue.1-4 , pp. 224502
    • Faisst, H.1    Eckhardt, B.2
  • 11
    • 4644288538 scopus 로고    scopus 로고
    • Visualizing the dynamics of the onset of turbulence
    • Busse F.H. Visualizing the dynamics of the onset of turbulence. Science 2004, 305:1574-1575.
    • (2004) Science , vol.305 , pp. 1574-1575
    • Busse, F.H.1
  • 13
    • 2942685048 scopus 로고    scopus 로고
    • Exact coherent structures in pipe flow: travelling wave solutions
    • Wedin H., Kerswell R.R. Exact coherent structures in pipe flow: travelling wave solutions. J Fluid Mech 2004, 508:333-371.
    • (2004) J Fluid Mech , vol.508 , pp. 333-371
    • Wedin, H.1    Kerswell, R.R.2
  • 14
    • 34548072562 scopus 로고    scopus 로고
    • Asymmetric, helical, and mirror-symmetric traveling waves in pipe flow
    • Pringle C.C.T., Kerswell R.R. Asymmetric, helical, and mirror-symmetric traveling waves in pipe flow. Phys Rev Lett 2007, 99(1-4):074502.
    • (2007) Phys Rev Lett , vol.99 , Issue.1-4 , pp. 074502
    • Pringle, C.C.T.1    Kerswell, R.R.2
  • 16
    • 54049091638 scopus 로고    scopus 로고
    • Transition in pipe flow: the saddle structure on the boundary of turbulence
    • Duguet Y., Willis A.P., Kerswell R.R. Transition in pipe flow: the saddle structure on the boundary of turbulence. J Fluid Mech 2008, 613:255-274.
    • (2008) J Fluid Mech , vol.613 , pp. 255-274
    • Duguet, Y.1    Willis, A.P.2    Kerswell, R.R.3
  • 17
    • 0015489247 scopus 로고
    • Rheological equations from molecular network theories
    • Carreau J.P. Rheological equations from molecular network theories. J Rheol 1972, 16:99-127.
    • (1972) J Rheol , vol.16 , pp. 99-127
    • Carreau, J.P.1
  • 18
    • 0001146648 scopus 로고
    • Shear flow properties of concentrated solutions of linear and star branched polystyrenes
    • Yasuda K., Armstrong R.C., Cohen R.E. Shear flow properties of concentrated solutions of linear and star branched polystyrenes. Rheol Acta 1981, 20:163-178.
    • (1981) Rheol Acta , vol.20 , pp. 163-178
    • Yasuda, K.1    Armstrong, R.C.2    Cohen, R.E.3
  • 19
    • 36348932065 scopus 로고    scopus 로고
    • Delaying transition to turbulence in channel flow: revisiting the stability of shear thinning fluids
    • Nouar C., Bottaro A., Brancher J. Delaying transition to turbulence in channel flow: revisiting the stability of shear thinning fluids. J Fluid Mech 2007, 592:177-194.
    • (2007) J Fluid Mech , vol.592 , pp. 177-194
    • Nouar, C.1    Bottaro, A.2    Brancher, J.3
  • 20
    • 34248525946 scopus 로고    scopus 로고
    • On a solenoidal Fourier-Chebyshev spectral method for stability analysis of the Hagen-Poiseuille flow
    • Meseguer A., Mellibosky F. On a solenoidal Fourier-Chebyshev spectral method for stability analysis of the Hagen-Poiseuille flow. Appl Numer Math 2007, 57:920-938.
    • (2007) Appl Numer Math , vol.57 , pp. 920-938
    • Meseguer, A.1    Mellibosky, F.2
  • 21
    • 0000048673 scopus 로고
    • GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Saad Y., Schultz M.H. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J Sci Stat Comput 1986, 7:856-869.
    • (1986) SIAM J Sci Stat Comput , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 22
    • 0003176174 scopus 로고    scopus 로고
    • Choosing the forcing terms in an inexact Newton method
    • Eisenstat S.C., Walker H.F. Choosing the forcing terms in an inexact Newton method. SIAM J Sci Stat Comput 1996, 17:16-32.
    • (1996) SIAM J Sci Stat Comput , vol.17 , pp. 16-32
    • Eisenstat, S.C.1    Walker, H.F.2
  • 23
    • 0000043097 scopus 로고
    • Implementation of the GMRES method using householder transformations
    • Walker H.F. Implementation of the GMRES method using householder transformations. SIAM J Sci Stat Comput 1988, 9:152-163.
    • (1988) SIAM J Sci Stat Comput , vol.9 , pp. 152-163
    • Walker, H.F.1
  • 24
    • 0000276399 scopus 로고
    • Numerical solution of bifurcation and nonlinear eigenvalue problems
    • Academic Press, P.H. Rabinowitz (Ed.)
    • Keller H.B. Numerical solution of bifurcation and nonlinear eigenvalue problems. Applications of bifurcation theory 1977, 359-384. Academic Press. P.H. Rabinowitz (Ed.).
    • (1977) Applications of bifurcation theory , pp. 359-384
    • Keller, H.B.1
  • 25
    • 0033293111 scopus 로고    scopus 로고
    • An adaptation of Krylov subspace methods to path following problems
    • Walker H.F. An adaptation of Krylov subspace methods to path following problems. SIAM J Sci Stat Comput 1999, 21:1191-1198.
    • (1999) SIAM J Sci Stat Comput , vol.21 , pp. 1191-1198
    • Walker, H.F.1
  • 26
    • 34548669381 scopus 로고    scopus 로고
    • A spectral vanishing viscosity for the LES of turbulent flows within rotating cavities
    • Severac E., Serre E. A spectral vanishing viscosity for the LES of turbulent flows within rotating cavities. J Comput Phys 2007, 226:1234-1255.
    • (2007) J Comput Phys , vol.226 , pp. 1234-1255
    • Severac, E.1    Serre, E.2
  • 27
    • 34447565159 scopus 로고    scopus 로고
    • Solenoidal spectral formulations for the computation of secondary flows in cylindrical and annular geometries
    • Meseguer A., Avila M., Mellibovsky F., Marques F. Solenoidal spectral formulations for the computation of secondary flows in cylindrical and annular geometries. Eur Phys J Special Topics 2007, 146:249-259.
    • (2007) Eur Phys J Special Topics , vol.146 , pp. 249-259
    • Meseguer, A.1    Avila, M.2    Mellibovsky, F.3    Marques, F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.