메뉴 건너뛰기




Volumn 151, Issue 1-3, 2008, Pages 2-20

Generalised approach for transient computation of start-up pressure-driven viscoelastic flow

Author keywords

Boundary condition; Pom pom model; Pressure correction; Transient flow; Viscoelastic fluid

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; FLOW RATE; FLOW STRUCTURE; MATHEMATICAL MODELS; PRESSURE; VISCOELASTICITY;

EID: 43049149726     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2008.03.004     Document Type: Article
Times cited : (9)

References (39)
  • 1
    • 0005233372 scopus 로고    scopus 로고
    • A survey of computational rheology
    • Binding D.M., Hudson N.E., Mewis J., Piau J.-M., Petrie C.J.S., Townsend P., Wagner M.H., and Walters K. (Eds). British Society of Rheology, Glasgow
    • Keunings R. A survey of computational rheology. In: Binding D.M., Hudson N.E., Mewis J., Piau J.-M., Petrie C.J.S., Townsend P., Wagner M.H., and Walters K. (Eds). Proceedings of the XIII International Congress on Rheology, Cambridge, vol. 1. British Society of Rheology, Glasgow (2000) 7-14
    • (2000) Proceedings of the XIII International Congress on Rheology, Cambridge, vol. 1 , pp. 7-14
    • Keunings, R.1
  • 2
    • 0034108995 scopus 로고    scopus 로고
    • Effect of die entrance filtering on mitigation of upstream instability during extrusion of polymer melts
    • Piau J.-M., Nigen S., and El Kissi N. Effect of die entrance filtering on mitigation of upstream instability during extrusion of polymer melts. J. Non-Newton. Fluid Mech. 91 (2000) 37-57
    • (2000) J. Non-Newton. Fluid Mech. , vol.91 , pp. 37-57
    • Piau, J.-M.1    Nigen, S.2    El Kissi, N.3
  • 3
    • 0029386239 scopus 로고
    • A split Lagrangian-Eulerlian method for simulating transient viscoelastic flows
    • Harlen O.G., Rallison J.M., and Szabo P. A split Lagrangian-Eulerlian method for simulating transient viscoelastic flows. J. Non-Newton. Fluid Mech. 60 (1995) 81-104
    • (1995) J. Non-Newton. Fluid Mech. , vol.60 , pp. 81-104
    • Harlen, O.G.1    Rallison, J.M.2    Szabo, P.3
  • 4
    • 0034084835 scopus 로고    scopus 로고
    • The backward-tracking Lagrangian particle method for transient viscoelastic flows
    • Wapperom P., Keunings R., and Legat V. The backward-tracking Lagrangian particle method for transient viscoelastic flows. J. Non-Newton. Fluid Mech. 91 (2000) 273-295
    • (2000) J. Non-Newton. Fluid Mech. , vol.91 , pp. 273-295
    • Wapperom, P.1    Keunings, R.2    Legat, V.3
  • 5
    • 0035515186 scopus 로고    scopus 로고
    • Method for time-dependent simulations of viscoelastic flows: vortex shedding behind cylinder
    • Oliveira P.J. Method for time-dependent simulations of viscoelastic flows: vortex shedding behind cylinder. J. Non-Newton. Fluid Mech. 101 (2001) 113-137
    • (2001) J. Non-Newton. Fluid Mech. , vol.101 , pp. 113-137
    • Oliveira, P.J.1
  • 8
    • 34250484479 scopus 로고
    • Unsteady flow of an elastico-viscous liquid
    • Waters N.D., and King M.J. Unsteady flow of an elastico-viscous liquid. Rheol. Acta 9 (1970) 345-355
    • (1970) Rheol. Acta , vol.9 , pp. 345-355
    • Waters, N.D.1    King, M.J.2
  • 9
    • 0032215864 scopus 로고    scopus 로고
    • A second-order hybrid finite-element/volume method for viscoelastic flows
    • Wapperom P., and Webster M.F. A second-order hybrid finite-element/volume method for viscoelastic flows. J. Non-Newton. Fluid Mech. 79 (1998) 405-431
    • (1998) J. Non-Newton. Fluid Mech. , vol.79 , pp. 405-431
    • Wapperom, P.1    Webster, M.F.2
  • 10
    • 0035977811 scopus 로고    scopus 로고
    • A cell-vertex finite volume/element method on triangles for abrupt contraction viscoelastic flows
    • Aboubacar M., and Webster M.F. A cell-vertex finite volume/element method on triangles for abrupt contraction viscoelastic flows. J. Non-Newton. Fluid Mech. 98 (2001) 83-106
    • (2001) J. Non-Newton. Fluid Mech. , vol.98 , pp. 83-106
    • Aboubacar, M.1    Webster, M.F.2
  • 11
    • 0036602340 scopus 로고    scopus 로고
    • Numerical prediction of extensional flows in contraction geometries: hybrid finite volume/element method
    • Aboubacar M., Matallah H., Tamaddon-Jahromi H.R., and Webster M.F. Numerical prediction of extensional flows in contraction geometries: hybrid finite volume/element method. J. Non-Newton. Fluid Mech. 104 (2002) 125-164
    • (2002) J. Non-Newton. Fluid Mech. , vol.104 , pp. 125-164
    • Aboubacar, M.1    Matallah, H.2    Tamaddon-Jahromi, H.R.3    Webster, M.F.4
  • 12
    • 0028481897 scopus 로고
    • The time-dependent flow of a viscoelastic fluid around a sphere
    • Bodart C., and Crochet M.J. The time-dependent flow of a viscoelastic fluid around a sphere. J. Non-Newton. Fluid Mech. 54 (1994) 303-329
    • (1994) J. Non-Newton. Fluid Mech. , vol.54 , pp. 303-329
    • Bodart, C.1    Crochet, M.J.2
  • 13
    • 0000077371 scopus 로고    scopus 로고
    • Molecular drag-strain coupling in branched polymer melts
    • Blackwell R.J., McLeish T.C.B., and Harlen O.G. Molecular drag-strain coupling in branched polymer melts. J. Rheol. 44 (2000) 121-136
    • (2000) J. Rheol. , vol.44 , pp. 121-136
    • Blackwell, R.J.1    McLeish, T.C.B.2    Harlen, O.G.3
  • 14
    • 0000759154 scopus 로고    scopus 로고
    • Predicting low density polyethylene melt rheology in elongational and shear flows with "pom-pom" constitutive equations
    • Inkson N.J., McLeish T.C.B., Harlen O.G., and Groves D.J. Predicting low density polyethylene melt rheology in elongational and shear flows with "pom-pom" constitutive equations. J. Rheol. 43 (1999) 873-896
    • (1999) J. Rheol. , vol.43 , pp. 873-896
    • Inkson, N.J.1    McLeish, T.C.B.2    Harlen, O.G.3    Groves, D.J.4
  • 15
    • 0031675952 scopus 로고    scopus 로고
    • Molecular constitutive equations for a class of branched polymers: the pom-pom polymer
    • MacLeish T.C.B., and Larson R.G. Molecular constitutive equations for a class of branched polymers: the pom-pom polymer. J. Rheol. 42 (1998) 81-110
    • (1998) J. Rheol. , vol.42 , pp. 81-110
    • MacLeish, T.C.B.1    Larson, R.G.2
  • 16
    • 0037066052 scopus 로고    scopus 로고
    • Highly elastic solutions for Oldroyd-B and Phan-Thien/Tanner fluids with a finite volume/element method: planar contraction flows
    • Aboubacar M., Matallah H., and Webster M.F. Highly elastic solutions for Oldroyd-B and Phan-Thien/Tanner fluids with a finite volume/element method: planar contraction flows. J. Non-Newton. Fluid Mech. 103 (2002) 65-103
    • (2002) J. Non-Newton. Fluid Mech. , vol.103 , pp. 65-103
    • Aboubacar, M.1    Matallah, H.2    Webster, M.F.3
  • 17
    • 0025474484 scopus 로고
    • An alternative approach to inflow boundary conditions for Maxwell fluids in three space dimensions
    • Renardy M. An alternative approach to inflow boundary conditions for Maxwell fluids in three space dimensions. J. Non-Newton. Fluid Mech. 36 (1990) 419-425
    • (1990) J. Non-Newton. Fluid Mech. , vol.36 , pp. 419-425
    • Renardy, M.1
  • 18
    • 33645109504 scopus 로고    scopus 로고
    • Stabilised computations for viscoelastic flows under compressible implementations
    • Belblidia F., Keshtiban I.J., and Webster M.F. Stabilised computations for viscoelastic flows under compressible implementations. J. Non-Newton. Fluid Mech. 134 (2006) 56-76
    • (2006) J. Non-Newton. Fluid Mech. , vol.134 , pp. 56-76
    • Belblidia, F.1    Keshtiban, I.J.2    Webster, M.F.3
  • 19
    • 0031206522 scopus 로고    scopus 로고
    • A numerical method for solving incompressible viscous flow problems
    • Chorin A.J. A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 2 (1997) 118-125
    • (1997) J. Comput. Phys. , vol.2 , pp. 118-125
    • Chorin, A.J.1
  • 20
    • 0041765520 scopus 로고
    • Sur l'approximation de la solution de Navier-Stokes par la méthode des pas fractionnaires II
    • Temam R. Sur l'approximation de la solution de Navier-Stokes par la méthode des pas fractionnaires II. Archiv. Ration. Mech. Anal. 33 (1969) 377-385
    • (1969) Archiv. Ration. Mech. Anal. , vol.33 , pp. 377-385
    • Temam, R.1
  • 21
    • 0029395264 scopus 로고
    • On two and three dimensional expansion flows
    • Baloch A., Townsend P., and Webster M.F. On two and three dimensional expansion flows. Comput. Fluids 24 8 (1995) 863-882
    • (1995) Comput. Fluids , vol.24 , Issue.8 , pp. 863-882
    • Baloch, A.1    Townsend, P.2    Webster, M.F.3
  • 26
    • 46149142859 scopus 로고
    • Solution of the implicitly discretised fluid flow equations by operator-splitting
    • Issa R.I. Solution of the implicitly discretised fluid flow equations by operator-splitting. J. Comput. Phys. 62 (1986) 40-65
    • (1986) J. Comput. Phys. , vol.62 , pp. 40-65
    • Issa, R.I.1
  • 27
    • 0000674333 scopus 로고
    • A second-order accurate pressure-correction scheme for viscous incompressible flow
    • van Kan J. A second-order accurate pressure-correction scheme for viscous incompressible flow. SIAM J. Sci. Stat. Comput. 7 (1986) 870-891
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 870-891
    • van Kan, J.1
  • 28
    • 0026066189 scopus 로고
    • Non-linear computational instability, damping and filtering in viscoelastic flow simulations
    • Gong H., and Güçeri S.I. Non-linear computational instability, damping and filtering in viscoelastic flow simulations. J. Non-Newton. Fluid Mech. 38 (1991) 247-271
    • (1991) J. Non-Newton. Fluid Mech. , vol.38 , pp. 247-271
    • Gong, H.1    Güçeri, S.I.2
  • 29
    • 0022467254 scopus 로고
    • Sur le signe des valeurs propres du tenseur des extra-contraintes dans un e'coulement de fluide de Maxwell
    • Dupret F., and Marchal J.M. Sur le signe des valeurs propres du tenseur des extra-contraintes dans un e'coulement de fluide de Maxwell. J. Theor. Appl. Mech. 5 3 (1986) 403-427
    • (1986) J. Theor. Appl. Mech. , vol.5 , Issue.3 , pp. 403-427
    • Dupret, F.1    Marchal, J.M.2
  • 30
    • 0022094188 scopus 로고
    • On the consequence of discretization errors in the numerical calculation of viscoelastic flows
    • Dupret F., Marchal J.M., and Crochet M.J. On the consequence of discretization errors in the numerical calculation of viscoelastic flows. J. Non-Newton. Fluid Mech. 18 (1985) 173-186
    • (1985) J. Non-Newton. Fluid Mech. , vol.18 , pp. 173-186
    • Dupret, F.1    Marchal, J.M.2    Crochet, M.J.3
  • 31
    • 0025475842 scopus 로고
    • Calculation of steady viscoelastic flow using a multimode Maxwell model: application of the explicitly elliptic momentum equation (EEME) formulation
    • Rajagopalan D., Armstrong R.C., and Brown R.A. Calculation of steady viscoelastic flow using a multimode Maxwell model: application of the explicitly elliptic momentum equation (EEME) formulation. J. Non-Newton. Fluid Mech. 36 (1990) 135-157
    • (1990) J. Non-Newton. Fluid Mech. , vol.36 , pp. 135-157
    • Rajagopalan, D.1    Armstrong, R.C.2    Brown, R.A.3
  • 32
    • 0029379966 scopus 로고
    • A new mixed finite element method for computing viscoelastic flows
    • Guénette R., and Fortin M. A new mixed finite element method for computing viscoelastic flows. J. Non-Newton. Fluid Mech. 60 (1995) 27-52
    • (1995) J. Non-Newton. Fluid Mech. , vol.60 , pp. 27-52
    • Guénette, R.1    Fortin, M.2
  • 33
    • 0344925134 scopus 로고    scopus 로고
    • Time dependent finite element analysis of the linear stability of viscoelastic flows with interfaces
    • Bogaerds A.C.B., Hulsen M.A., Peters G.W.M., and Baaijens F.P.T. Time dependent finite element analysis of the linear stability of viscoelastic flows with interfaces. J. Non-Newton. Fluid Mech. 116 (2003) 33-54
    • (2003) J. Non-Newton. Fluid Mech. , vol.116 , pp. 33-54
    • Bogaerds, A.C.B.1    Hulsen, M.A.2    Peters, G.W.M.3    Baaijens, F.P.T.4
  • 34
  • 35
    • 0032075632 scopus 로고    scopus 로고
    • On stability and convergence of projection methods based on pressure Poisson equation
    • Guermond J.-L., and Quartapelle L. On stability and convergence of projection methods based on pressure Poisson equation. Int. J. Numer. Methods Fluids 26 (1998) 1039-1053
    • (1998) Int. J. Numer. Methods Fluids , vol.26 , pp. 1039-1053
    • Guermond, J.-L.1    Quartapelle, L.2
  • 36
    • 0035961232 scopus 로고    scopus 로고
    • Numerical simulation of branched polymer melts in transient complex flow using pom-pom models
    • Wapperom P., and Keunings R. Numerical simulation of branched polymer melts in transient complex flow using pom-pom models. J. Non-Newton. Fluid Mech. 97 (2001) 267-281
    • (2001) J. Non-Newton. Fluid Mech. , vol.97 , pp. 267-281
    • Wapperom, P.1    Keunings, R.2
  • 37
    • 0037455704 scopus 로고    scopus 로고
    • Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions
    • Alves M.A., Oliveira P.J., and Pinho F.T. Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions. J. Non-Newton. Fluid Mech. 110 (2003) 45-75
    • (2003) J. Non-Newton. Fluid Mech. , vol.110 , pp. 45-75
    • Alves, M.A.1    Oliveira, P.J.2    Pinho, F.T.3
  • 38
    • 33645100946 scopus 로고    scopus 로고
    • Extensional response of the pom-pom model through planar contraction flows for branched polymer melts
    • Aguayo J.P., Tamaddon-Jahromi H.R., and Webster M.F. Extensional response of the pom-pom model through planar contraction flows for branched polymer melts. J. Non-Newton. Fluid Mech. 134 (2006) 105-126
    • (2006) J. Non-Newton. Fluid Mech. , vol.134 , pp. 105-126
    • Aguayo, J.P.1    Tamaddon-Jahromi, H.R.2    Webster, M.F.3
  • 39
    • 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., and Nicholson T.M. Numerical simulation of the transient flow of branched polymer melts through a planar contraction using the "pom-pom" model. J. Non-Newton. Fluid Mech. 82 (1999) 255-273
    • (1999) J. Non-Newton. Fluid Mech. , vol.82 , pp. 255-273
    • Bishko, G.B.1    Harlen, O.G.2    McLeish, T.C.B.3    Nicholson, T.M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.