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Volumn 379, Issue , 1999, Pages 255-277

Stability of viscoelastic shear flows subjected to steady or oscillatory transverse flow

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); SOLVENTS; STABILITY; STEADY FLOW; VISCOELASTICITY; VISCOSITY;

EID: 0032675907     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211209800322X     Document Type: Article
Times cited : (21)

References (36)
  • 1
    • 0002807741 scopus 로고
    • The principle of minimized iteration in the solution of matrix eigenvalue problems
    • ARNOLDI, W. E. 1951 The principle of minimized iteration in the solution of matrix eigenvalue problems. Q. Appl. Maths 9, 17-29.
    • (1951) Q. Appl. Maths , vol.9 , pp. 17-29
    • Arnoldi, W.E.1
  • 2
    • 0027837777 scopus 로고
    • Non-axisymmetric modes in the viscoelastic Taylor-Couette flow
    • AVGOUSTI, M. & BERIS, A. N. 1993 Non-axisymmetric modes in the viscoelastic Taylor-Couette flow. J. Non-Newtonian Fluid Mech. 50, 225-252.
    • (1993) J. Non-Newtonian Fluid Mech. , vol.50 , pp. 225-252
    • Avgousti, M.1    Beris, A.N.2
  • 3
    • 0027627138 scopus 로고
    • Spectral methods for the viscoelastic time-dependent flow equations with applications to Taylor-Couette flow
    • AVGOUSTI, M., LIU, B. & BERIS, A. N. 1993 Spectral methods for the viscoelastic time-dependent flow equations with applications to Taylor-Couette flow. Intl J. Numer. Meth. Fluids 17, 49-74.
    • (1993) Intl J. Numer. Meth. Fluids , vol.17 , pp. 49-74
    • Avgousti, M.1    Liu, B.2    Beris, A.N.3
  • 4
    • 34250403445 scopus 로고
    • Versal deformations of a singular point on the plane in the case of zero eigenvalues
    • BOGDANOV, R. I. 1975 Versal deformations of a singular point on the plane in the case of zero eigenvalues. Funct. Anal. Appl. 9, 144-145.
    • (1975) Funct. Anal. Appl. , vol.9 , pp. 144-145
    • Bogdanov, R.I.1
  • 6
    • 0004770513 scopus 로고
    • The Takens-Bogdanov bifurcation with O(2) symmetry
    • DANGELMAYR, G. & KNOBLOCH, E. 1987 The Takens-Bogdanov bifurcation with O(2) symmetry. Phil. Trans. R. Soc. Lond. A 322, 243-279.
    • (1987) Phil. Trans. R. Soc. Lond. A , vol.322 , pp. 243-279
    • Dangelmayr, G.1    Knobloch, E.2
  • 7
    • 0002385009 scopus 로고
    • On bifurcating periodic solutions at low frequency
    • DAVIS, S. H. & ROSENBLAT, S. 1977 On bifurcating periodic solutions at low frequency. Stud. Appl. Maths 57, 59-76.
    • (1977) Stud. Appl. Maths , vol.57 , pp. 59-76
    • Davis, S.H.1    Rosenblat, S.2
  • 10
    • 0000064075 scopus 로고
    • On a linear instability of a plane parallel Couette flow of viscoelastic fluid
    • GORODTSOV, V. A. & LEONOV, A. I. 1967 On a linear instability of a plane parallel Couette flow of viscoelastic fluid. J. Appl. Math. Mech. 31, 310-319.
    • (1967) J. Appl. Math. Mech. , vol.31 , pp. 310-319
    • Gorodtsov, V.A.1    Leonov, A.I.2
  • 11
    • 0032051411 scopus 로고
    • Effect of axial flow on viscoelastic Taylor-Couette instability
    • GRAHAM, M. D. 1988 Effect of axial flow on viscoelastic Taylor-Couette instability. J. Fluid Mech. 360, 341-374.
    • (1988) J. Fluid Mech. , vol.360 , pp. 341-374
    • Graham, M.D.1
  • 12
    • 84927257798 scopus 로고
    • Nonlinear convection in a rotating layer: Amplitude expansions and normal form
    • GUCKENHEIMER, J. & KNOBLOCH, E. 1983 Nonlinear convection in a rotating layer: amplitude expansions and normal form. Geophys. Astrophys. Fluid Dyn. 23, 247-272.
    • (1983) Geophys. Astrophys. Fluid Dyn. , vol.23 , pp. 247-272
    • Guckenheimer, J.1    Knobloch, E.2
  • 13
    • 0031104468 scopus 로고
    • Stabilization of longitudinal vortex instabilities by means of transverse flow oscillations
    • HU, H. C. & KELLY, R. E. 1995 Stabilization of longitudinal vortex instabilities by means of transverse flow oscillations. Phys. Fluids 9, 648-654.
    • (1995) Phys. Fluids , vol.9 , pp. 648-654
    • Hu, H.C.1    Kelly, R.E.2
  • 15
    • 0026053557 scopus 로고
    • Viscoelastic Poiseuille flow through a curved channel: A new elastic instability
    • Joo, Y. L. & SHAQFEH, E. S. G. 1991 Viscoelastic Poiseuille flow through a curved channel: a new elastic instability. Phys. Fluids A 3, 1691-1694.
    • (1991) Phys. Fluids A , vol.3 , pp. 1691-1694
    • Joo, Y.L.1    Shaqfeh, E.S.G.2
  • 16
    • 0026804375 scopus 로고
    • A purely elastic instability in Dean and Taylor-Dean flow
    • Joo, Y. L. & SHAQFEH, E. S. G. 1992 A purely elastic instability in Dean and Taylor-Dean flow. Phys. Fluids A 4, 524-543.
    • (1992) Phys. Fluids A , vol.4 , pp. 524-543
    • Joo, Y.L.1    Shaqfeh, E.S.G.2
  • 17
    • 0028387460 scopus 로고
    • Observations of purely elastic instabilities in the Taylor-Dean flow of a Boger fluid
    • Joo, Y. L. & SHAQFEH, E. S. G. 1994 Observations of purely elastic instabilities in the Taylor-Dean flow of a Boger fluid. J. Fluid Mech. 262, 27-73.
    • (1994) J. Fluid Mech. , vol.262 , pp. 27-73
    • Joo, Y.L.1    Shaqfeh, E.S.G.2
  • 18
    • 0016025883 scopus 로고
    • Linear stability theory of oscillatory Stokes layers
    • KERCZEK, C. VON & DAVIS, S. H. 1974 Linear stability theory of oscillatory Stokes layers. J. Fluid Mech. 62, 753-773.
    • (1974) J. Fluid Mech. , vol.62 , pp. 753-773
    • Von Kerczek, C.1    Davis, S.H.2
  • 19
    • 0019586583 scopus 로고
    • Nonlinear periodic convection in double diffusive systems
    • KNOBLOCH, E. & PROCTOR, M. R. E. 1981 Nonlinear periodic convection in double diffusive systems. J. Fluid Mech. 108, 291-316.
    • (1981) J. Fluid Mech. , vol.108 , pp. 291-316
    • Knobloch, E.1    Proctor, M.R.E.2
  • 20
    • 0025492179 scopus 로고
    • A purely elastic instability in Taylor-Couette flow
    • referred to herein as LSM
    • LARSON, R. G., SHAQFEH, E. S. G. & MULLER, S. J. 1990 A purely elastic instability in Taylor-Couette flow. J. Fluid Mech. 218, 573-600 (referred to herein as LSM).
    • (1990) J. Fluid Mech. , vol.218 , pp. 573-600
    • Larson, R.G.1    Shaqfeh, E.S.G.2    Muller, S.J.3
  • 22
    • 0031246413 scopus 로고    scopus 로고
    • Taylor-Couette flow with axial oscillations of the inner cylinder: Floquet analysis of the basic flow
    • MARQUES, F. & LOPEZ, J. M. 1997 Taylor-Couette flow with axial oscillations of the inner cylinder: Floquet analysis of the basic flow. J. Fluid Mech. 348, 153-176.
    • (1997) J. Fluid Mech. , vol.348 , pp. 153-176
    • Marques, F.1    Lopez, J.M.2
  • 23
    • 0030291976 scopus 로고    scopus 로고
    • Rheological and geometric scaling of purely elastic flow instabilities
    • MCKINLEY, G. H., PAKDEL, P. & ÖZTEKIN, A. 1996 Rheological and geometric scaling of purely elastic flow instabilities. J. Non-Newtonian Fluid Mech. 67, 19-47.
    • (1996) J. Non-Newtonian Fluid Mech. , vol.67 , pp. 19-47
    • Mckinley, G.H.1    Pakdel, P.2    Öztekin, A.3
  • 24
    • 0026838278 scopus 로고
    • Finite-amplitude time-periodic states in viscoelastic Taylor-Couette flow described by the UCM model
    • NORTHEY, P. J., ARMSTRONG, R. C. & BROWN, R. A. 1992 Finite-amplitude time-periodic states in viscoelastic Taylor-Couette flow described by the UCM model. J. Non-Newtonian Fluid Mech. 42, 117-139.
    • (1992) J. Non-Newtonian Fluid Mech. , vol.42 , pp. 117-139
    • Northey, P.J.1    Armstrong, R.C.2    Brown, R.A.3
  • 25
    • 0031519789 scopus 로고    scopus 로고
    • Hopf bifurcation in creeping cone-and-plate flow of a viscoelastic fluid
    • OLAGUNJU, D. O. 1997 Hopf bifurcation in creeping cone-and-plate flow of a viscoelastic fluid. Z. Angew. Math. Phys. 48(3), 361-369.
    • (1997) Z. Angew. Math. Phys. , vol.48 , Issue.3 , pp. 361-369
    • Olagunju, D.O.1
  • 26
    • 0025474324 scopus 로고
    • Finte element methods for calculation of steady, viscoelastic flow using constitutive equations with a Newtonian viscosity
    • RAJAGOPALAN, D., ARMSTRONG, R. C. & BROWN, R. A. 1990 Finte element methods for calculation of steady, viscoelastic flow using constitutive equations with a Newtonian viscosity. J. Non-Newtonian Fluid Mech. 36, 159-192.
    • (1990) J. Non-Newtonian Fluid Mech. , vol.36 , pp. 159-192
    • Rajagopalan, D.1    Armstrong, R.C.2    Brown, R.A.3
  • 27
    • 0030892163 scopus 로고    scopus 로고
    • High Weissenberg number boundary layers for the upper convected Maxwell fluid
    • RENARDY, M. 1997 High Weissenberg number boundary layers for the upper convected Maxwell fluid. J. Non-Newtonian Fluid Mech. 68, 125-132.
    • (1997) J. Non-Newtonian Fluid Mech. , vol.68 , pp. 125-132
    • Renardy, M.1
  • 28
    • 0030088274 scopus 로고    scopus 로고
    • Hopf-Hopf and steady-Hopf mode interactions in Taylor-Couette flow of an upper convected Maxwell liquid
    • RENARDY, M., RENARDY, Y., SURESHKUMAR, R. & BERIS, A. N. 1996 Hopf-Hopf and steady-Hopf mode interactions in Taylor-Couette flow of an upper convected Maxwell liquid. J. Non-Newtonian Fluid Mech. 63, 1-31.
    • (1996) J. Non-Newtonian Fluid Mech. , vol.63 , pp. 1-31
    • Renardy, M.1    Renardy, Y.2    Sureshkumar, R.3    Beris, A.N.4
  • 29
    • 0037575232 scopus 로고
    • Centrifugal instability of time-dependent flows. Part 1. Inviscid, periodic flows
    • ROSENBLAT, S. 1968 Centrifugal instability of time-dependent flows. Part 1. Inviscid, periodic flows. J. Fluid Mech. 33, 321-336.
    • (1968) J. Fluid Mech. , vol.33 , pp. 321-336
    • Rosenblat, S.1
  • 31
    • 0344936448 scopus 로고    scopus 로고
    • Purely elastic instability in viscometric flows
    • SHAQFEH, E. S. G. 1996 Purely elastic instability in viscometric flows. Ann. Rev. Fluid Mech. 28, 129-185.
    • (1996) Ann. Rev. Fluid Mech. , vol.28 , pp. 129-185
    • Shaqfeh, E.S.G.1
  • 32
    • 84972090656 scopus 로고
    • The effects of gap width and dilute solution properties on the viscoelastic Taylor-Couette instability
    • SHAQFEH, E. S. G., MULLER, S. J. & LARSON, R. G. 1992 The effects of gap width and dilute solution properties on the viscoelastic Taylor-Couette instability. J. Fluid Mech. 235, 285-317.
    • (1992) J. Fluid Mech. , vol.235 , pp. 285-317
    • Shaqfeh, E.S.G.1    Muller, S.J.2    Larson, R.G.3
  • 33
    • 0028768562 scopus 로고
    • Non-axisymmetric subcritical bifurcations in viscoelastic Taylor-Couette flow
    • SURESHKUMAR, R., BERIS, A. N. & AVGOUSTI, M. 1994 Non-axisymmetric subcritical bifurcations in viscoelastic Taylor-Couette flow. Proc. R. Soc. Lond. A 447, 135-153.
    • (1994) Proc. R. Soc. Lond. A , vol.447 , pp. 135-153
    • Sureshkumar, R.1    Beris, A.N.2    Avgousti, M.3
  • 34
    • 0002533366 scopus 로고
    • Forced oscillations and bifurcations
    • Math. Inst. Rijksuniv. Utrecht, Neth.
    • TAKENS, F. 1974 Forced oscillations and bifurcations. In Commun. No. 3. Math. Inst. Rijksuniv. Utrecht, Neth.
    • (1974) Commun. No. 3
    • Takens, F.1
  • 35
    • 0013618103 scopus 로고    scopus 로고
    • Orthogonal superposition measurements using a rheometer equipped with a force rebalanced transducer
    • VERMANT, J., MOLDENAERS, P., MEWIS, J., ELLIS, M. & GARRITANO, R. 1997 Orthogonal superposition measurements using a rheometer equipped with a force rebalanced transducer. Rev. Sci. Instrum. 68, 4090-4096.
    • (1997) Rev. Sci. Instrum. , vol.68 , pp. 4090-4096
    • Vermant, J.1    Moldenaers, P.2    Mewis, J.3    Ellis, M.4    Garritano, R.5
  • 36
    • 0031249335 scopus 로고    scopus 로고
    • Delaying transition in Taylor-Couette flow with axial motion of the inner cylinder
    • WEISBERG, A. Y., KEVREKIDIS, I. G. & SMITS, A. J. 1997 Delaying transition in Taylor-Couette flow with axial motion of the inner cylinder. J. Fluid Mech. 348, 141-152.
    • (1997) J. Fluid Mech. , vol.348 , pp. 141-152
    • Weisberg, A.Y.1    Kevrekidis, I.G.2    Smits, A.J.3


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