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Volumn 151, Issue 1-3, 2008, Pages 59-68

A timestepper approach for the systematic bifurcation and stability analysis of polymer extrusion dynamics

Author keywords

Bifurcation analysis; Extrusion instabilities; Floquet multipliers; Oldroyd B fluid; Poiseuille flow; Timestepper approach

Indexed keywords

BIFURCATION (MATHEMATICS); FLUID MECHANICS; MATRIX ALGEBRA; NON NEWTONIAN LIQUIDS; STEADY FLOW; VISCOELASTICITY;

EID: 43049087442     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2007.11.002     Document Type: Article
Times cited : (22)

References (34)
  • 3
    • 0000276399 scopus 로고
    • Numerical solution of bifurcation and non-linear eigenvalue problems
    • Rabinowitz P.H. (Ed), Academic Press, New York
    • Keller H.B. Numerical solution of bifurcation and non-linear eigenvalue problems. In: Rabinowitz P.H. (Ed). Applications of Bifurcation Theory (1977), Academic Press, New York 359-384
    • (1977) Applications of Bifurcation Theory , pp. 359-384
    • Keller, H.B.1
  • 4
    • 0039523241 scopus 로고
    • Stability and multiplicity of solutions to discretizations of nonlinear ordinary-differential equations
    • Beyn W.J., and Doedel E.J. Stability and multiplicity of solutions to discretizations of nonlinear ordinary-differential equations. SIAM J. Sci. Stat. Comp. 2 (1981) 107-120
    • (1981) SIAM J. Sci. Stat. Comp. , vol.2 , pp. 107-120
    • Beyn, W.J.1    Doedel, E.J.2
  • 8
    • 0004003042 scopus 로고    scopus 로고
    • Numerical methods for bifurcation problems and large-scale dynamical systems
    • Doedel E., and Tuckerman L.S. (Eds), Springer-Verlag
    • Numerical methods for bifurcation problems and large-scale dynamical systems. In: Doedel E., and Tuckerman L.S. (Eds). IMA Volumes in Mathematics and its Applications vol. 119 (2000), Springer-Verlag
    • (2000) IMA Volumes in Mathematics and its Applications , vol.119
  • 9
    • 8744230577 scopus 로고    scopus 로고
    • MATCONT: a MATLAB package for numerical bifurcation analysis of ODEs
    • Dhooge A., Govaerts W., and Kuznetsov Y.A. MATCONT: a MATLAB package for numerical bifurcation analysis of ODEs. ACM Trans. Math. Softw. 29 (2003) 141-164
    • (2003) ACM Trans. Math. Softw. , vol.29 , pp. 141-164
    • Dhooge, A.1    Govaerts, W.2    Kuznetsov, Y.A.3
  • 11
    • 33144474676 scopus 로고    scopus 로고
    • Numerical continuation of bifurcations of limit cycles in MATLAB
    • Govaerts J.F.W., Kuznetsov Y.A., and Dhooge A. Numerical continuation of bifurcations of limit cycles in MATLAB. SIAM J. Sci. Comp. 27 (2005) 231-252
    • (2005) SIAM J. Sci. Comp. , vol.27 , pp. 231-252
    • Govaerts, J.F.W.1    Kuznetsov, Y.A.2    Dhooge, A.3
  • 13
    • 0027641824 scopus 로고
    • Stabilization of unstable procedures-the recursive projection method
    • Shroff G.M., and Keller H.B. Stabilization of unstable procedures-the recursive projection method. SIAM J. Numer. Anal. 30 (1993) 1099-1120
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1099-1120
    • Shroff, G.M.1    Keller, H.B.2
  • 14
    • 0346816494 scopus 로고    scopus 로고
    • Enabling dynamic process simulators to perform alternative tasks: timestepper based toolkit for computer-aided analysis
    • Siettos C.I., Pantelides C.C., and Kevrekidis I.G. Enabling dynamic process simulators to perform alternative tasks: timestepper based toolkit for computer-aided analysis. Ind. Chem. Ind. Res. 42 (2004) 6795-6801
    • (2004) Ind. Chem. Ind. Res. , vol.42 , pp. 6795-6801
    • Siettos, C.I.1    Pantelides, C.C.2    Kevrekidis, I.G.3
  • 15
    • 0031831952 scopus 로고    scopus 로고
    • Linear stability diagrams of the shear flow of an Oldroyd-B fluid with slip along the fixed wall
    • Fyrillas M., and Georgiou G.C. Linear stability diagrams of the shear flow of an Oldroyd-B fluid with slip along the fixed wall. Rheol. Acta 37 (1998) 61-67
    • (1998) Rheol. Acta , vol.37 , pp. 61-67
    • Fyrillas, M.1    Georgiou, G.C.2
  • 16
    • 11644324069 scopus 로고    scopus 로고
    • The time-dependent extrudate-swell problem of an Oldroyd-B fluid with slip along the wall
    • Brasseur E., Fyrillas M.M., Georgiou G.C., and Crochet M.J. The time-dependent extrudate-swell problem of an Oldroyd-B fluid with slip along the wall. J. Rheol. 42 (1998) 549-566
    • (1998) J. Rheol. , vol.42 , pp. 549-566
    • Brasseur, E.1    Fyrillas, M.M.2    Georgiou, G.C.3    Crochet, M.J.4
  • 18
    • 33646415443 scopus 로고    scopus 로고
    • Stick-slip instability
    • Hatzikiriakos S.G., and Migler K. (Eds), Marcel Dekker Inc. Chapter 6
    • Georgiou G. Stick-slip instability. In: Hatzikiriakos S.G., and Migler K. (Eds). Polymer Processing Instabilities: Control and Understanding (2004), Marcel Dekker Inc. 161-206 Chapter 6
    • (2004) Polymer Processing Instabilities: Control and Understanding , pp. 161-206
    • Georgiou, G.1
  • 19
    • 34548390502 scopus 로고    scopus 로고
    • A two-dimensional numerical study of the stick-slip extrusion instability
    • Taliadorou E., Georgiou G., and Alexandrou A.N. A two-dimensional numerical study of the stick-slip extrusion instability. J. Non-Newtonian Fluid Mech. 146 (2007) 30-44
    • (2007) J. Non-Newtonian Fluid Mech. , vol.146 , pp. 30-44
    • Taliadorou, E.1    Georgiou, G.2    Alexandrou, A.N.3
  • 20
    • 0042009341 scopus 로고    scopus 로고
    • Dynamics of the spurt instability in polymer extrusion
    • Dubbeldam J.L.A., and Molenaar J. Dynamics of the spurt instability in polymer extrusion. J. Non-Newtonian Fluid Mech. 112 (2003) 217-235
    • (2003) J. Non-Newtonian Fluid Mech. , vol.112 , pp. 217-235
    • Dubbeldam, J.L.A.1    Molenaar, J.2
  • 21
    • 0001260490 scopus 로고    scopus 로고
    • Model for melt fracture instabilities in the capillary flow of polymer melts
    • Shore J.D., Ronis D., Piché L., and Grant M. Model for melt fracture instabilities in the capillary flow of polymer melts. Phys. Rev. Lett. 77 (1996) 655-658
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 655-658
    • Shore, J.D.1    Ronis, D.2    Piché, L.3    Grant, M.4
  • 22
    • 0000887961 scopus 로고    scopus 로고
    • Theory of melt fracture instabilities in the capillary flow of polymer melts
    • Shore J.D., Ronis D., Piché L., and Grant M. Theory of melt fracture instabilities in the capillary flow of polymer melts. Phys. Rev. E 55 (1997) 2976-2992
    • (1997) Phys. Rev. E , vol.55 , pp. 2976-2992
    • Shore, J.D.1    Ronis, D.2    Piché, L.3    Grant, M.4
  • 23
    • 0031140902 scopus 로고    scopus 로고
    • Sharkskin texturing instabilities in the flow of polymer melts
    • Shore J.D., Ronis D., Piché L., and Grant M. Sharkskin texturing instabilities in the flow of polymer melts. Physica A 239 (1997) 350-357
    • (1997) Physica A , vol.239 , pp. 350-357
    • Shore, J.D.1    Ronis, D.2    Piché, L.3    Grant, M.4
  • 24
    • 0001085207 scopus 로고    scopus 로고
    • Wall-slip and polymer melt flow instability
    • Black W.B., and Graham M.D. Wall-slip and polymer melt flow instability. Phys. Rev. Lett. 77 (1996) 956-959
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 956-959
    • Black, W.B.1    Graham, M.D.2
  • 25
    • 0032608185 scopus 로고    scopus 로고
    • Effect of wall slip on the stability of viscoelastic plane shear flow
    • Black W.B., and Graham M.D. Effect of wall slip on the stability of viscoelastic plane shear flow. Phys. Fluids 11 (1999) 1749-1756
    • (1999) Phys. Fluids , vol.11 , pp. 1749-1756
    • Black, W.B.1    Graham, M.D.2
  • 26
    • 0001639797 scopus 로고    scopus 로고
    • An adaptive Newton-Picard algorithm with subspace iteration for computing periodic solutions
    • Lust K., Roose D., Spence A., and Champneys A.R. An adaptive Newton-Picard algorithm with subspace iteration for computing periodic solutions. SIAM J. Sci. Comp. 19 (1998) 1188-1209
    • (1998) SIAM J. Sci. Comp. , vol.19 , pp. 1188-1209
    • Lust, K.1    Roose, D.2    Spence, A.3    Champneys, A.R.4
  • 27
    • 0034730149 scopus 로고    scopus 로고
    • Coarse stability and bifurcation analysis using timesteppers: a reaction-diffusion example
    • Theodoropoulos K., Qian Y.-H., and Kevrekidis I.G. Coarse stability and bifurcation analysis using timesteppers: a reaction-diffusion example. PNAS 97 (2002) 9840
    • (2002) PNAS , vol.97 , pp. 9840
    • Theodoropoulos, K.1    Qian, Y.-H.2    Kevrekidis, I.G.3
  • 31
    • 0003180233 scopus 로고    scopus 로고
    • Just in time learning and estimation
    • Bittani S., and Picci G. (Eds), Springer, NATO ASI
    • Cybenko G. Just in time learning and estimation. In: Bittani S., and Picci G. (Eds). Identification, Adaptation, Learning (1996), Springer, NATO ASI 423-434
    • (1996) Identification, Adaptation, Learning , pp. 423-434
    • Cybenko, G.1
  • 33
    • 0001524578 scopus 로고    scopus 로고
    • Finding leading modes of a viscous free surface low: an asymmetric generalized problem
    • Christodoulou K.N., and Scriven L.E. Finding leading modes of a viscous free surface low: an asymmetric generalized problem. J. Sci. Comp. 3 (1998) 355
    • (1998) J. Sci. Comp. , vol.3 , pp. 355
    • Christodoulou, K.N.1    Scriven, L.E.2
  • 34
    • 0028441633 scopus 로고
    • Compressible viscous flow in slits, with slip at the wall
    • Georgiou G.C., and Crochet M.J. Compressible viscous flow in slits, with slip at the wall. J. Rheol. 38 (1994) 639-654
    • (1994) J. Rheol. , vol.38 , pp. 639-654
    • Georgiou, G.C.1    Crochet, M.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.