메뉴 건너뛰기




Volumn 72, Issue 2-3, 1997, Pages 187-218

Numerical simulations of the flow of dilute polymer solutions in a four-roll mill

Author keywords

FENE model; Four roll mill; Polymer

Indexed keywords

FLOW OF FLUIDS; FLUID MECHANICS; POLYMERS; SOLUTIONS; STRAIN RATE;

EID: 0031258209     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(97)00027-X     Document Type: Article
Times cited : (29)

References (43)
  • 1
    • 0002879765 scopus 로고    scopus 로고
    • Report on the IXth international workshop on numerical methods in non-Newtonian flows
    • B. Caswell, Report on the IXth International Workshop on Numerical Methods in Non-Newtonian Flows, J. Non-Newtonian Fluid Mech. 62 (1996) 99-110.
    • (1996) J. Non-Newtonian Fluid Mech. , vol.62 , pp. 99-110
    • Caswell, B.1
  • 2
    • 34247365152 scopus 로고
    • A filament stretching device for measurement of extensional viscosity
    • V. Tirtaatmadja, T. Sridhar, A filament stretching device for measurement of extensional viscosity, J. Rheol. 37 (1993) 1081-1102.
    • (1993) J. Rheol. , vol.37 , pp. 1081-1102
    • Tirtaatmadja, V.1    Sridhar, T.2
  • 3
    • 0003226270 scopus 로고
    • A critical appraisal of available methods for the measurements of extensional properties of mobile systems
    • A.A. Collyer (Ed.), Ch. 2, Chapman and Hall
    • D.F. James, K. Walters, A critical appraisal of available methods for the measurements of extensional properties of mobile systems, in: A.A. Collyer (Ed.), Techniques in Rheological Measurements, Ch. 2, Chapman and Hall, 1993.
    • (1993) Techniques in Rheological Measurements
    • James, D.F.1    Walters, K.2
  • 4
    • 0026188688 scopus 로고
    • On the dynamics of suspended microstructure in heterogeneous fluid flows
    • A.J. Szeri, S. Wiggens, L.G. Leal, On the dynamics of suspended microstructure in heterogeneous fluid flows, J. Fluid Mech. 228 (1991) 207-241.
    • (1991) J. Fluid Mech. , vol.228 , pp. 207-241
    • Szeri, A.J.1    Wiggens, S.2    Leal, L.G.3
  • 5
    • 0003970078 scopus 로고
    • Studies of flow-induced conformation changes in dilute polymer solutions
    • Y. Rabin (Ed.)
    • L.G. Leal, Studies of flow-induced conformation changes in dilute polymer solutions, in: Y. Rabin (Ed.), Polymer-Flow Interactions, Proc. AIP Workshop, 137, 1985, pp. 5-32.
    • (1985) Polymer-Flow Interactions, Proc. AIP Workshop , vol.137 , pp. 5-32
    • Leal, L.G.1
  • 6
    • 0028441393 scopus 로고
    • Computational studies of the FENE dumbbell model in a co-rotating two-roll mill
    • P. Singh, L.G. Leal, Computational studies of the FENE dumbbell model in a co-rotating two-roll mill, J. Rheol. 38 (1994) 485-517.
    • (1994) J. Rheol. , vol.38 , pp. 485-517
    • Singh, P.1    Leal, L.G.2
  • 8
    • 0030287002 scopus 로고    scopus 로고
    • Computational studies of the FENE bumbbell model with conformation dependent friction in a co-rotating two-roll mill
    • P. Singh, L.G. Leal, Computational studies of the FENE bumbbell model with conformation dependent friction in a co-rotating two-roll mill, J. Non-Newtonian Fluid Mech. 67 (1996) 137-178.
    • (1996) J. Non-Newtonian Fluid Mech. , vol.67 , pp. 137-178
    • Singh, P.1    Leal, L.G.2
  • 9
    • 0030891521 scopus 로고    scopus 로고
    • Dissipative stresses in dilute polymer solutions
    • J.M. Rallison, Dissipative stresses in dilute polymer solutions, J. Non-Newtonian Fluid Mech. 68 (1997) 61-83.
    • (1997) J. Non-Newtonian Fluid Mech. , vol.68 , pp. 61-83
    • Rallison, J.M.1
  • 10
    • 0000791391 scopus 로고
    • Polymer chain extension produced by impinging jets and its effect on polyethylene solution
    • F.G. Frank, A. Keller, M.R. Mackley, Polymer chain extension produced by impinging jets and its effect on polyethylene solution, Polymer 12 (1971) 467-473.
    • (1971) Polymer , vol.12 , pp. 467-473
    • Frank, F.G.1    Keller, A.2    Mackley, M.R.3
  • 11
    • 0016964021 scopus 로고
    • Localized flow birefringence of polyethylene oxide solutions in a two roll mill
    • F.G. Frank, M.R. Mackley, Localized flow birefringence of polyethylene oxide solutions in a two roll mill, J. Polymer Sci., Polym. Phys. Ed. 14 (1976) 1121-1131.
    • (1976) J. Polymer Sci., Polym. Phys. Ed. , vol.14 , pp. 1121-1131
    • Frank, F.G.1    Mackley, M.R.2
  • 13
    • 0020183247 scopus 로고
    • Photon-correlation velocimetry of polystyrene solutions in extensional flow fields
    • K. Gardner, E.R. Pike, M.J. Miles, A. Keller, K. Tanaka, Photon-correlation velocimetry of polystyrene solutions in extensional flow fields, Polymer 23 (1982) 1435-1442.
    • (1982) Polymer , vol.23 , pp. 1435-1442
    • Gardner, K.1    Pike, E.R.2    Miles, M.J.3    Keller, A.4    Tanaka, K.5
  • 14
    • 0042182193 scopus 로고
    • Birefringence d'écoulement dans un dispositif à deux rouleaux
    • R. Cressely, R. Hocquart, O. Scrivener, Birefringence d'écoulement dans un dispositif à deux rouleaux, Optica Acta 25, (1978) 559-571.
    • (1978) Optica Acta , vol.25 , pp. 559-571
    • Cressely, R.1    Hocquart, R.2    Scrivener, O.3
  • 15
    • 0009158512 scopus 로고
    • Lignes de biréfringence localisée dans un dispositif à deux rouleaux tournant en sens contraire
    • R. Cressely, R. Hocquart, O. Scrivener, Lignes de biréfringence localisée dans un dispositif à deux rouleaux tournant en sens contraire, Optica Acta 26 (1979) 1173-1181.
    • (1979) Optica Acta , vol.26 , pp. 1173-1181
    • Cressely, R.1    Hocquart, R.2    Scrivener, O.3
  • 16
    • 0019266328 scopus 로고
    • Velocity field in an elongational polymer solution flow
    • G. Astarita et al. (Eds.), Fluids, Plenum
    • A. Lyazid, O. Scrivener, R. Teitgen, Velocity field in an elongational polymer solution flow, in: G. Astarita et al. (Eds.), Rheology, vol. 2: Fluids, Plenum, 1980, pp. 141-148.
    • (1980) Rheology , vol.2 , pp. 141-148
    • Lyazid, A.1    Scrivener, O.2    Teitgen, R.3
  • 17
    • 0042683339 scopus 로고
    • Dynamics of flexible and large macromolecules in elongational flow
    • G. Astarita et al. (Eds.), Fluids, Plenum
    • R. Cressely and R. Hocquart, Dynamics of flexible and large macromolecules in elongational flow, in: G. Astarita et al. (Eds.), Rheology, vol. 2: Fluids, Plenum, 1980, pp. 377-383.
    • (1980) Rheology , vol.2 , pp. 377-383
    • Cressely, R.1    Hocquart, R.2
  • 18
    • 0000485304 scopus 로고
    • Flow birefringence of dilute polymer solutions in two-dimensional flows
    • G.G. Fuller, L.G. Leal, Flow birefringence of dilute polymer solutions in two-dimensional flows, Rheol. Acta 19 (1980) 580-600.
    • (1980) Rheol. Acta , vol.19 , pp. 580-600
    • Fuller, G.G.1    Leal, L.G.2
  • 19
    • 0022682397 scopus 로고
    • Dilute polystyrene solutions in extensional flow: Birefringence and flow modification
    • P.N. Dunlap, L.G. Leal, Dilute polystyrene solutions in extensional flow: birefringence and flow modification, J. Non-Newtonian Fluid Mech. 23 (1987) 5-48.
    • (1987) J. Non-Newtonian Fluid Mech. , vol.23 , pp. 5-48
    • Dunlap, P.N.1    Leal, L.G.2
  • 20
    • 0023451071 scopus 로고
    • An experimental study of dilute polyelectrolyte solutions in strong flows
    • P.N. Dunlap, C.H. Wang, L.G. Leal, An experimental study of dilute polyelectrolyte solutions in strong flows, J. Polym. Sci., Polym. Phys. Ed. 25 (1987) 2211-2238.
    • (1987) J. Polym. Sci., Polym. Phys. Ed. , vol.25 , pp. 2211-2238
    • Dunlap, P.N.1    Wang, C.H.2    Leal, L.G.3
  • 21
    • 0001230101 scopus 로고
    • Concentration effects on birefringence and flow modification of semidilute polymer solutions in extensional flow
    • R.C.-Y. Ng, L.G. Leal, Concentration effects on birefringence and flow modification of semidilute polymer solutions in extensional flow, J. Rheol. 37 (1993) 443-468.
    • (1993) J. Rheol. , vol.37 , pp. 443-468
    • Ng, R.C.-Y.1    Leal, L.G.2
  • 22
    • 0019557270 scopus 로고
    • Flow birefringence of concentrated polymer solutions in two-dimensional flows
    • G.G. Fuller, L.G. Leal, Flow birefringence of concentrated polymer solutions in two-dimensional flows, J. Polym. Sci., Polym. Phys. Ed. 19 (1981) 557-587.
    • (1981) J. Polym. Sci., Polym. Phys. Ed. , vol.19 , pp. 557-587
    • Fuller, G.G.1    Leal, L.G.2
  • 23
    • 0025454171 scopus 로고
    • Flow birefringence studies in transient flows of a two-roll mill for the test-fluid M1
    • E. Geffroy, L.G. Leal, Flow birefringence studies in transient flows of a two-roll mill for the test-fluid M1, J. Non-Newtonian Fluid Mech. 35 (1990) 361-400.
    • (1990) J. Non-Newtonian Fluid Mech. , vol.35 , pp. 361-400
    • Geffroy, E.1    Leal, L.G.2
  • 24
    • 0026953519 scopus 로고
    • Flow birefringence studies of a concentrated polystyrene solution in a two-roll mill, I, steady flow and start-up of steady flow
    • E. Geffroy, L.G. Leal, Flow birefringence studies of a concentrated polystyrene solution in a two-roll mill, I, steady flow and start-up of steady flow, J. Polym. Sci., Polym. Phys. Ed. 30 (1992) 1329-1349.
    • (1992) J. Polym. Sci., Polym. Phys. Ed. , vol.30 , pp. 1329-1349
    • Geffroy, E.1    Leal, L.G.2
  • 25
    • 0043184353 scopus 로고    scopus 로고
    • Experimental studies of an entangled polystyrene solution in mixed type flows, Part 1, steady state; Part 2, transient flows
    • D. Yavich, D.W. Mead, L.G. Leal, Experimental studies of an entangled polystyrene solution in mixed type flows, Part 1, steady state; Part 2, transient flows (submitted to J. Rheol.).
    • J. Rheol.
    • Yavich, D.1    Mead, D.W.2    Leal, L.G.3
  • 26
    • 0022027349 scopus 로고
    • The extensibility of macromolecules in solution: A new focus for macromolecular science
    • A. Keller, J.A. Odell, The extensibility of macromolecules in solution: a new focus for macromolecular science, Colloid Polym. Sci. 263 (1985) 181-201.
    • (1985) Colloid Polym. Sci. , vol.263 , pp. 181-201
    • Keller, A.1    Odell, J.A.2
  • 27
    • 0000839409 scopus 로고
    • Entanglement in semi-dilute solutions as revealed by elongational flow studies
    • A. Keller, A.J. Müller, J.A. Odell, Entanglement in semi-dilute solutions as revealed by elongational flow studies, Prog. Colloid Polym. Sci. 75 (1987) 179-200.
    • (1987) Prog. Colloid Polym. Sci. , vol.75 , pp. 179-200
    • Keller, A.1    Müller, A.J.2    Odell, J.A.3
  • 29
    • 0024068483 scopus 로고
    • Creeping flow of dilute polymer solutions past cylinders and spheres
    • M.D. Chilcott, J.M. Rallison, Creeping flow of dilute polymer solutions past cylinders and spheres, J. Non-Newtonian Fluid Mech. 29 (1988) 381-432.
    • (1988) J. Non-Newtonian Fluid Mech. , vol.29 , pp. 381-432
    • Chilcott, M.D.1    Rallison, J.M.2
  • 30
    • 0042626827 scopus 로고
    • Finite-element simulation of the start-up problem for a viscoelastic fluid in an eccentric rotating cylinder geometry using a third-order upwind scheme
    • P. Singh, L.G. Leal, Finite-element simulation of the start-up problem for a viscoelastic fluid in an eccentric rotating cylinder geometry using a third-order upwind scheme, Theor. Comput. Fluid Dyn. 5 (1993) 107-137.
    • (1993) Theor. Comput. Fluid Dyn. , vol.5 , pp. 107-137
    • Singh, P.1    Leal, L.G.2
  • 31
    • 0019592088 scopus 로고
    • The effects of conformation-dependent friction and internal viscosity on the dynamics of the nonlinear dumbbell model for a dilute polymer solution
    • G.G. Fuller, L.G. Leal, The effects of conformation-dependent friction and internal viscosity on the dynamics of the nonlinear dumbbell model for a dilute polymer solution, J. Non-Newtonian Fluid Mech. 8 (1981) 271-310.
    • (1981) J. Non-Newtonian Fluid Mech. , vol.8 , pp. 271-310
    • Fuller, G.G.1    Leal, L.G.2
  • 32
    • 0026927382 scopus 로고
    • Birefringent pipe: The steady flow of a dilute polymer solution near a stagnation point
    • O.G. Harlen, E.J. Hinch, J.M. Rallison, Birefringent pipe: the steady flow of a dilute polymer solution near a stagnation point, J. Non-Newtonian Fluid Mech. 44 (1992) 229-265.
    • (1992) J. Non-Newtonian Fluid Mech. , vol.44 , pp. 229-265
    • Harlen, O.G.1    Hinch, E.J.2    Rallison, J.M.3
  • 33
    • 0027700509 scopus 로고
    • Start-up of a strongly extensional flow of a dilute polymer solution
    • O.J. Harris, J.M. Rallison, Start-up of a strongly extensional flow of a dilute polymer solution, J. Non-Newtonian Fluid Mech. 50 (1993) 89-124.
    • (1993) J. Non-Newtonian Fluid Mech. , vol.50 , pp. 89-124
    • Harris, O.J.1    Rallison, J.M.2
  • 34
    • 0028534383 scopus 로고
    • Time-resolved velocity gradient and optical anisotropy in linear flow by photon correlation spectroscopy
    • J.J. Wang, D. Yavich, L.G. Leal, Time-resolved velocity gradient and optical anisotropy in linear flow by photon correlation spectroscopy, Phys. Fluids 6 (1994) 3519-3534.
    • (1994) Phys. Fluids , vol.6 , pp. 3519-3534
    • Wang, J.J.1    Yavich, D.2    Leal, L.G.3
  • 35
    • 0019028529 scopus 로고
    • Polymer solution rheology based on a finitely extensible bead-spring chain model
    • R.B. Bird, P.J. Dotson, N.L. Johnson, Polymer solution rheology based on a finitely extensible bead-spring chain model, J. Non-Newtonian Fluid Mech. 7 (1980) 213-235.
    • (1980) J. Non-Newtonian Fluid Mech. , vol.7 , pp. 213-235
    • Bird, R.B.1    Dotson, P.J.2    Johnson, N.L.3
  • 36
    • 0019623002 scopus 로고
    • Fast squeezing flow of viscoelastic fluids
    • Y. Mochimaru, Fast squeezing flow of viscoelastic fluids, J. Non-Newtonian Fluid Mech. 9 (1981) 157-178.
    • (1981) J. Non-Newtonian Fluid Mech. , vol.9 , pp. 157-178
    • Mochimaru, Y.1
  • 37
    • 0001267184 scopus 로고
    • Analysis of the Rouse model in extensional flow, Part II, Stress generated in sink flow by flexible macromolecules and by finitely extended macromolecules
    • D.H. King, D.F. James, Analysis of the Rouse model in extensional flow, Part II, Stress generated in sink flow by flexible macromolecules and by finitely extended macromolecules, J. Chem. Phys. 78 (1983) 4749-4754.
    • (1983) J. Chem. Phys. , vol.78 , pp. 4749-4754
    • King, D.H.1    James, D.F.2
  • 38
    • 0023093358 scopus 로고
    • Calculation of the effect of polymer additive in a converging flow
    • G. Ryskin, Calculation of the effect of polymer additive in a converging flow, J. Fluid Mech. 178 (1987) 423-440.
    • (1987) J. Fluid Mech. , vol.178 , pp. 423-440
    • Ryskin, G.1
  • 39
    • 0024067937 scopus 로고
    • Do we understand the physics in the constitutive equation?
    • J.M. Rallison, E.J. Hinch, Do we understand the physics in the constitutive equation?, J. Non-Newtonian Fluid Mech. 29 (1988) 37-55.
    • (1988) J. Non-Newtonian Fluid Mech. , vol.29 , pp. 37-55
    • Rallison, J.M.1    Hinch, E.J.2
  • 40
    • 0002336864 scopus 로고
    • The unraveling of a polymer chain in a strong extensional flow
    • R.G. Larson, The unraveling of a polymer chain in a strong extensional flow, Rheol. Acta 29 (1990) 371-384.
    • (1990) Rheol. Acta , vol.29 , pp. 371-384
    • Larson, R.G.1
  • 41
    • 0028481810 scopus 로고
    • Uncoiling of a polymer molecule in a strong extensional flow
    • E.J. Hinch, Uncoiling of a polymer molecule in a strong extensional flow, J. Non-Newtonian Fluid Mech. 54 (1994) 209-230.
    • (1994) J. Non-Newtonian Fluid Mech. , vol.54 , pp. 209-230
    • Hinch, E.J.1
  • 43
    • 0030080843 scopus 로고    scopus 로고
    • An extended FENE dumbbell theory for concentration dependent shear-induced anisotropy in dilute polymer solutions
    • C. Schneggenburger, M. Kroger, S. Hess, An extended FENE dumbbell theory for concentration dependent shear-induced anisotropy in dilute polymer solutions, J. Non-Newtonian Fluid Mech. 62 (1996) 235-251.
    • (1996) J. Non-Newtonian Fluid Mech. , vol.62 , pp. 235-251
    • Schneggenburger, C.1    Kroger, M.2    Hess, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.