메뉴 건너뛰기




Volumn 23, Issue 5, 2004, Pages 759-780

Numerical study of viscoelastic mixtures through a Cahn-Hilliard flow model

Author keywords

Cahn Hilliard model; Navier Stokes equations; Numerical approximation; Oldroyd model

Indexed keywords

APPROXIMATION THEORY; FLUID MECHANICS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NEWTONIAN FLOW; SHEAR FLOW;

EID: 3142696325     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2004.03.001     Document Type: Article
Times cited : (35)

References (31)
  • 1
    • 0033133822 scopus 로고    scopus 로고
    • Numerical simulation of the transient flow of branched polymer melts through a planar contraction using the 'pom-pom' model
    • Bishko G.B., Harlen O.G., McLeish T.C.B., Nicholson T.M. Numerical simulation of the transient flow of branched polymer melts through a planar contraction using the 'pom-pom' model. J. Non-Newtonian Fluid Mech. 82:1999;255-273.
    • (1999) J. Non-Newtonian Fluid Mech. , vol.82 , pp. 255-273
    • Bishko, G.B.1    Harlen, O.G.2    Mcleish, T.C.B.3    Nicholson, T.M.4
  • 2
    • 0036028061 scopus 로고    scopus 로고
    • A theoretical and numerical model for the study of incompressible mixture flows
    • Boyer F. A theoretical and numerical model for the study of incompressible mixture flows. Comput. Fluids. 31:(1):2002.
    • (2002) Comput. Fluids , vol.31 , Issue.1
    • Boyer, F.1
  • 3
    • 33746012315 scopus 로고
    • Free energy of non-uniform system. I. Interfacial free energy
    • Cahn J.W., Hilliard J.E. Free energy of non-uniform system. I. Interfacial free energy. J. Chem. Phys. 28:1958;258-267.
    • (1958) J. Chem. Phys. , vol.28 , pp. 258-267
    • Cahn, J.W.1    Hilliard, J.E.2
  • 4
    • 0042762786 scopus 로고    scopus 로고
    • Existence result for a mixture of non-Newtonian flows with stress diffusion using the Cahn-Hilliard formulation
    • Chupin L. Existence result for a mixture of non-Newtonian flows with stress diffusion using the Cahn-Hilliard formulation. Discrete and Continuous Dynamical Systems B. 3:(1):2003;45-68.
    • (2003) Discrete and Continuous Dynamical Systems B , vol.3 , Issue.1 , pp. 45-68
    • Chupin, L.1
  • 5
    • 3142690441 scopus 로고    scopus 로고
    • Centre de Recherche Paul Pascal, Université Bordeaux 1, Personal communications
    • A. Colin, O. Greffier, S. Manneville, Centre de Recherche Paul Pascal, Université Bordeaux 1, Personal communications.
    • Colin, A.1    Greffier, O.2    Manneville, S.3
  • 8
    • 0001589281 scopus 로고    scopus 로고
    • Nonlinear dynamics and breakup of free-surface flows
    • Eggers J. Nonlinear dynamics and breakup of free-surface flows. Rev. Mod. Phys. 60:(3):1997;865-929.
    • (1997) Rev. Mod. Phys. , vol.60 , Issue.3 , pp. 865-929
    • Eggers, J.1
  • 9
    • 0038486822 scopus 로고    scopus 로고
    • Flow phase diagrams for concentration-coupled shear banding
    • Fielding S.M., Olmsted P.D. Flow phase diagrams for concentration-coupled shear banding. Eur. Phys. J. E. 11:2003;65-83.
    • (2003) Eur. Phys. J. E , vol.11 , pp. 65-83
    • Fielding, S.M.1    Olmsted, P.D.2
  • 10
    • 0024702169 scopus 로고
    • A new approach for the FEM simulation of viscoelastic flows
    • Fortin A., Fortin M. A new approach for the FEM simulation of viscoelastic flows. J. Non-Newtonian Fluid Mech. 32:1989;295-310.
    • (1989) J. Non-Newtonian Fluid Mech. , vol.32 , pp. 295-310
    • Fortin, A.1    Fortin, M.2
  • 12
    • 0032005687 scopus 로고    scopus 로고
    • On the stability of the simple shear flow of a Johnson-Segalman fluid
    • Georgiou G.C., Vlassopoulos D. On the stability of the simple shear flow of a Johnson-Segalman fluid. J. Non-Newtonian Fluid Mech. 75:1998;77-79.
    • (1998) J. Non-Newtonian Fluid Mech. , vol.75 , pp. 77-79
    • Georgiou, G.C.1    Vlassopoulos, D.2
  • 14
    • 0000325280 scopus 로고
    • Existence results for the flow of viscoelastic fluids with a differential
    • Guillopé C., Saut J.C. Existence results for the flow of viscoelastic fluids with a differential. Nonlinear Anal. 15:(9):1990;849-869.
    • (1990) Nonlinear Anal. , vol.15 , Issue.9 , pp. 849-869
    • Guillopé, C.1    Saut, J.C.2
  • 15
    • 0001415885 scopus 로고
    • Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type
    • Guillopé C., Saut J.C. Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type. RAIRO Modél. Math. Anal. Numér. 24:(3):1990;369-401.
    • (1990) RAIRO Modél. Math. Anal. Numér , vol.24 , Issue.3 , pp. 369-401
    • Guillopé, C.1    Saut, J.C.2
  • 19
    • 0031500367 scopus 로고    scopus 로고
    • Non-uniqueness and linear stability of the one-dimensional flow of multiple viscoelastic fluids
    • Le Meur H. Non-uniqueness and linear stability of the one-dimensional flow of multiple viscoelastic fluids. Math. Model. Numer. Anal. 31:(2):1997;185-212.
    • (1997) Math. Model. Numer. Anal. , vol.31 , Issue.2 , pp. 185-212
    • Le Meur, H.1
  • 20
    • 0001558472 scopus 로고    scopus 로고
    • Effects of non-local stress on the determination of shear banding flow
    • Lu C.Y.D., Olmsted P.D., Ball R.C. Effects of non-local stress on the determination of shear banding flow. Phys. Rev. Lett. 84:2000;642-645.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 642-645
    • Lu, C.Y.D.1    Olmsted, P.D.2    Ball, R.C.3
  • 21
    • 0041152882 scopus 로고    scopus 로고
    • Quasi-incompressible Cahn-Hilliard fluids and topological transitions
    • Lowengrub J.S., Truskinovsky L. Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Proc. Roy. Soc. London Ser. A. 454:1998;2617-2654.
    • (1998) Proc. Roy. Soc. London Ser. A , vol.454 , pp. 2617-2654
    • Lowengrub, J.S.1    Truskinovsky, L.2
  • 22
    • 0030083167 scopus 로고    scopus 로고
    • Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule
    • Marrucci G. Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule. J. Non-Newtonian Fluid Mech. 62:1996;279-289.
    • (1996) J. Non-Newtonian Fluid Mech. , vol.62 , pp. 279-289
    • Marrucci, G.1
  • 25
    • 0001086663 scopus 로고
    • On the formation of rheological equations of state
    • Oldroyd J.G. On the formation of rheological equations of state. Proc. Roy. Soc. London Ser. A. 200:1950;523-541.
    • (1950) Proc. Roy. Soc. London Ser. A , vol.200 , pp. 523-541
    • Oldroyd, J.G.1
  • 26
    • 0033216551 scopus 로고    scopus 로고
    • Two-state shear diagrams for complex fluids in shear flow
    • Olmsted P.D. Two-state shear diagrams for complex fluids in shear flow. Europhys. Lett. 48:(3):1999;339-345.
    • (1999) Europhys. Lett. , vol.48 , Issue.3 , pp. 339-345
    • Olmsted, P.D.1
  • 28
    • 2742543785 scopus 로고    scopus 로고
    • Phase transitions of fluids in shear flow
    • Onuki A. Phase transitions of fluids in shear flow. J. Phys. Condens. Matter. 9:1997;6119-6157.
    • (1997) J. Phys. Condens. Matter , vol.9 , pp. 6119-6157
    • Onuki, A.1
  • 29
    • 0004702442 scopus 로고    scopus 로고
    • Capitalizing on nonequilibrium thermodynamics: Branched polymers
    • Cambridge, UK
    • H.C. Öttinger, Capitalizing on nonequilibrium thermodynamics: branched polymers, XIIIth International Congress on Rheology, Cambridge, UK, 2000.
    • (2000) XIIIth International Congress on Rheology
    • Öttinger, H.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.