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Volumn 19, Issue 10, 2007, Pages

Emergence of singular structures in Oldroyd-B fluids

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; POLYMERS; VISCOELASTICITY;

EID: 35748960853     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2783426     Document Type: Article
Times cited : (94)

References (28)
  • 1
    • 0034604090 scopus 로고    scopus 로고
    • "Elastic turbulence in a polymer solution flow"
    • NATUAS0028-083610.1038/35011019
    • A. Groisman and V. Steinberg, "Elastic turbulence in a polymer solution flow," Nature NATUAS0028-083610.1038/35011019 405, 53 (2000).
    • (2000) Nature , vol.405 , pp. 53
    • Groisman, A.1    Steinberg, V.2
  • 2
    • 0035912190 scopus 로고    scopus 로고
    • "Efficient mixing at low Reynolds numbers using polymer additives"
    • NATUAS0028-083610.1038/35073524
    • A. Groisman and V. Steinberg, "Efficient mixing at low Reynolds numbers using polymer additives," Nature NATUAS0028-083610.1038/ 35073524 410, 905 (2001).
    • (2001) Nature , vol.410 , pp. 905
    • Groisman, A.1    Steinberg, V.2
  • 3
    • 3042597923 scopus 로고    scopus 로고
    • "Elastic turbulence in curvilinear flows of polymer solutions"
    • NJOPFM1367-263010.1088/1367-2630/6/1/029
    • A. Groisman and V. Steinberg, "Elastic turbulence in curvilinear flows of polymer solutions," New J. Phys. NJOPFM1367-263010.1088/ 1367-2630/6/1/029 6, 29 (2004).
    • (2004) New J. Phys. , vol.6 , pp. 29
    • Groisman, A.1    Steinberg, V.2
  • 4
    • 33645817217 scopus 로고    scopus 로고
    • "Elastic instabilities of polymer solutions in cross-channel flow"
    • PRLTAO0031-900710.1103/PhysRevLett.96.144502
    • P. E. Arratia, C. C. Thomas, J. Diorio, and J. P. Gollub, "Elastic instabilities of polymer solutions in cross-channel flow," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.96.144502 96, 144502 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 144502
    • Arratia, P.E.1    Thomas, C.C.2    Diorio, J.3    Gollub, J.P.4
  • 5
    • 0024067937 scopus 로고
    • "Do we understand the physics in the constitutive equation?"
    • JNFMDI0377-025710.1016/0377-0257(88)85049-3
    • J. M. Rallison and E. J. Hinch, "Do we understand the physics in the constitutive equation?" J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/0377-0257(88)85049-3 29, 37 (1988).
    • (1988) J. Non-Newtonian Fluid Mech. , vol.29 , pp. 37
    • Rallison, J.M.1    Hinch, E.J.2
  • 6
    • 0025399724 scopus 로고
    • "High-Deborah-number flows of dilute polymer-solutions"
    • JNFMDI0377-025710.1016/0377-0257(90)80027-W
    • O. G. Harlen, J. M. Rallison, and M. D. Chilcott, "High-Deborah-number flows of dilute polymer-solutions," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/0377-0257(90)80027-W 34, 319 (1990).
    • (1990) J. Non-Newtonian Fluid Mech. , vol.34 , pp. 319
    • Harlen, O.G.1    Rallison, J.M.2    Chilcott, M.D.3
  • 7
    • 0025521247 scopus 로고
    • "High-Deborah-number flow of a dilute polymer-solution past a sphere falling along the axis of a cylindrical tube"
    • JNFMDI0377-025710.1016/0377-0257(90)90003-T
    • O. G. Harlen, "High-Deborah-number flow of a dilute polymer-solution past a sphere falling along the axis of a cylindrical tube," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/ 0377-0257(90)90003-T 37, 357 (1990).
    • (1990) J. Non-Newtonian Fluid Mech. , vol.37 , pp. 357
    • Harlen, O.G.1
  • 8
    • 0026927382 scopus 로고
    • "Birefringent pipes: The steady flow of a dilute polymer solution near a stagnation point"
    • JNFMDI0377-025710.1016/0377-0257(92)80052-Y
    • O. G. Harlen, E. J. Hinch, and J. M. Rallison, "Birefringent pipes: The steady flow of a dilute polymer solution near a stagnation point," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/ 0377-0257(92)80052-Y 44, 229 (1992).
    • (1992) J. Non-Newtonian Fluid Mech. , vol.44 , pp. 229
    • Harlen, O.G.1    Hinch, E.J.2    Rallison, J.M.3
  • 11
    • 0000180414 scopus 로고
    • "The formation of emulsions in definable fields of flow"
    • PRLAAZ1364-502110.1098/rspa.1934.0169
    • G. I. Taylor, "The formation of emulsions in definable fields of flow," Proc. R. Soc. London, Ser. A PRLAAZ1364-502110.1098/ rspa.1934.0169 146, 501 (1934).
    • (1934) Proc. R. Soc. London, Ser. A , vol.146 , pp. 501
    • Taylor, G.I.1
  • 12
    • 0019557270 scopus 로고
    • "Flow birefringence of concentrated polymer solutions in two-dimensional flows"
    • JPLPAY0098-127310.1002/pol.1981.180190402
    • G. G. Guller and L. G. Leal, "Flow birefringence of concentrated polymer solutions in two-dimensional flows," J. Polym. Sci., Polym. Phys. Ed. JPLPAY0098-127310.1002/pol.1981.180190402 19, 557 (1981).
    • (1981) J. Polym. Sci., Polym. Phys. Ed. , vol.19 , pp. 557
    • Guller, G.G.1    Leal, L.G.2
  • 13
    • 0022738619 scopus 로고
    • "A computer controlled four-roll mill for investigations of particle and rope dynamics in two-dimensional linear shear flows"
    • JFLSA70022-112010.1017/S002211208600280X
    • B. J. Bentley and L. G. Leal, "A computer controlled four-roll mill for investigations of particle and rope dynamics in two-dimensional linear shear flows," J. Fluid Mech. JFLSA70022-112010.1017/ S002211208600280X 167, 219 (1986).
    • (1986) J. Fluid Mech. , vol.167 , pp. 219
    • Bentley, B.J.1    Leal, L.G.2
  • 14
    • 33748163424 scopus 로고    scopus 로고
    • "A comment on smoothness of viscoelastic stresses"
    • JNFMDI0377-025710.1016/j.jnnfm.2006.05.006
    • M. Renardy, "A comment on smoothness of viscoelastic stresses," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/ j.jnnfm.2006.05.006 138, 204 (2006).
    • (2006) J. Non-Newtonian Fluid Mech. , vol.138 , pp. 204
    • Renardy, M.1
  • 15
    • 27844607354 scopus 로고    scopus 로고
    • "On hydrodynamics of viscoelastic fluids"
    • CPMAMV0010-364010.1002/cpa.20074
    • F. H. Lin, C. Liu, and P. Zhang, "On hydrodynamics of viscoelastic fluids," Commun. Pure Appl. Math. CPMAMV0010-364010.1002/cpa.20074 58, 1437 (2005).
    • (2005) Commun. Pure Appl. Math. , vol.58 , pp. 1437
    • Lin, F.H.1    Liu, C.2    Zhang, P.3
  • 16
    • 19844366897 scopus 로고    scopus 로고
    • "Global existence for three-dimensional incompressible isotropic elastodynamics via the incompressible limit"
    • CPMAMV0010-364010.1002/cpa.20049
    • T. C. Sideris and B. Thomases, "Global existence for three-dimensional incompressible isotropic elastodynamics via the incompressible limit," Commun. Pure Appl. Math. CPMAMV0010-364010.1002/cpa.20049 58, 750 (2005).
    • (2005) Commun. Pure Appl. Math. , vol.58 , pp. 750
    • Sideris, T.C.1    Thomases, B.2
  • 17
    • 0034381125 scopus 로고    scopus 로고
    • "Global solutions for some Oldroyd models of non-Newtonian flows"
    • CHAMEB0252-959910.1142/S0252959900000170
    • P. L. Lions and N. Masmoudi, "Global solutions for some Oldroyd models of non-Newtonian flows," Chin. Ann. Math., Ser. BCHAMEB0252-959910.1142/S0252959900000170 21, 131 (2000).
    • (2000) Chin. Ann. Math., Ser. B , vol.21 , pp. 131
    • Lions, P.L.1    Masmoudi, N.2
  • 18
    • 0035527616 scopus 로고    scopus 로고
    • "About lifespan of regular solutions of equations related to viscoelastic fluids"
    • SJMAAH0036-141010.1137/S0036141099359317
    • J. Y. Chemin and N. Masmoudi, "About lifespan of regular solutions of equations related to viscoelastic fluids," SIAM J. Math. Anal.SJMAAH0036-141010.1137/S0036141099359317 33, 84 (2001).
    • (2001) SIAM J. Math. Anal. , vol.33 , pp. 84
    • Chemin, J.Y.1    Masmoudi, N.2
  • 19
    • 34548407719 scopus 로고    scopus 로고
    • "Computing nearly singular solutions using pseudo-spectral methods"
    • JCTPAH0021-9991
    • T. Y. Hou and R. Li, "Computing nearly singular solutions using pseudo-spectral methods," J. Comput. Phys. JCTPAH0021-9991 226, 379 (2007).
    • (2007) J. Comput. Phys. , vol.226 , pp. 379
    • Hou, T.Y.1    Li, R.2
  • 21
    • 0016887484 scopus 로고
    • "Mechanical models of dilute polymer solutions in strong flows"
    • PFLDAS0031-917110.1063/1.861735
    • E. J. Hinch, "Mechanical models of dilute polymer solutions in strong flows," Phys. Fluids PFLDAS0031-917110.1063/1.861735 20, S22 (1977).
    • (1977) Phys. Fluids , vol.20
    • Hinch, E.J.1
  • 22
    • 0001140293 scopus 로고
    • "Tracing complex singularities with spectral methods"
    • JCTPAH0021-999110.1016/0021-9991(83)90045-1
    • C. Sulem, P. L. Sulem, and H. Frisch, "Tracing complex singularities with spectral methods," J. Comput. Phys. JCTPAH0021-999110.1016/0021-9991(83)90045-1 50, 138 (1981).
    • (1981) J. Comput. Phys. , vol.50 , pp. 138
    • Sulem, C.1    Sulem, P.L.2    Frisch, H.3
  • 23
    • 0022735928 scopus 로고
    • "A study of singularity formation in a vortex sheet by the point vortex approximation"
    • JFLSA70022-112010.1017/S0022112086002732
    • R. Krasny, "A study of singularity formation in a vortex sheet by the point vortex approximation," J. Fluid Mech. JFLSA70022-112010.1017/S0022112086002732 167, 65 (1986).
    • (1986) J. Fluid Mech. , vol.167 , pp. 65
    • Krasny, R.1
  • 24
    • 0026809542 scopus 로고
    • "A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method"
    • JFLSA70022-112010.1017/S0022112092003161
    • M. J. Shelley, "A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method," J. Fluid Mech. JFLSA70022-112010.1017/S0022112092003161 244, 493 (1992).
    • (1992) J. Fluid Mech. , vol.244 , pp. 493
    • Shelley, M.J.1
  • 25
    • 0019028529 scopus 로고
    • "Polymer solution rheology based on a finitely extensible bead-spring chain model"
    • JNFMDI0377-025710.1016/0377-0257(80)85007-5
    • R. B. Bird, P. J. Dotson, and N. L. Johnson, "Polymer solution rheology based on a finitely extensible bead-spring chain model," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/0377-0257(80)85007-5 7, 213 (1980).
    • (1980) J. Non-Newtonian Fluid Mech. , vol.7 , pp. 213
    • Bird, R.B.1    Dotson, P.J.2    Johnson, N.L.3
  • 27
    • 0024922206 scopus 로고
    • "Existence of solutions for all Deborah numbers for a non-Newtonian model modified to include diffusion"
    • JNFMDI0377-025710.1016/0377-0257(89)80002-3
    • A. W. El-Kareh and L. G. Leal, "Existence of solutions for all Deborah numbers for a non-Newtonian model modified to include diffusion," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/ 0377-0257(89)80002-3 33, 257 (1989).
    • (1989) J. Non-Newtonian Fluid Mech. , vol.33 , pp. 257
    • El-Kareh, A.W.1    Leal, L.G.2
  • 28
    • 0001558472 scopus 로고    scopus 로고
    • "Effects of nonlocal stress on the determination of shear banding flow"
    • PRLTAO0031-900710.1103/PhysRevLett.84.642
    • C.-Y. Lu, P. D. Olmsted, and R. C. Ball, "Effects of nonlocal stress on the determination of shear banding flow," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.84.642 84, 642 (2000).
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 642
    • Lu, C.-Y.1    Olmsted, P.D.2    Ball, R.C.3


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