메뉴 건너뛰기




Volumn 165, Issue 13-14, 2010, Pages 687-697

Dynamic texture scaling of sheared nematic polymers in the large Ericksen number limit

Author keywords

Defect core; Heterogeneous properties; High Ericksen number; Length scale; Nematic polymers; Rod dispersions

Indexed keywords

2D SIMULATIONS; A-PRIORI ESTIMATES; CELLULAR FLOW; DEBORAH NUMBERS; DEFECT CORE; DEFECT LAYERS; DIMENSIONAL ANALYSIS; DISORDERED PHASIS; DYNAMIC TEXTURES; ELASTIC STRESS; ERICKSEN NUMBER; EXPERIMENTAL OBSERVATION; FINE STRUCTURES; FRANK ELASTICITY; HIGHER-DIMENSIONAL; KINETIC MODELS; LENGTH SCALE; LIQUID CRYSTAL MODEL; MATERIALS ENGINEERING; NEMATIC PHASE; NEMATIC POLYMER; NEW STRATEGY; NONLOCAL; NUMERICAL EXPERIMENTS; NUMERICAL STUDIES; ORIENTATION TENSOR; OUT OF PHASE; PARAMETER REGIMES; PROCESSING CONDITION; ROTATIONAL RELAXATIONS; SHEAR RATES; SPATIO-TEMPORAL; STEADY SHEAR; TEMPORAL RESOLUTION; TENSOR MODEL; THREE MODELS; THREE SPACE DIMENSIONS; TIME-AVERAGED;

EID: 77953293848     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2010.03.003     Document Type: Article
Times cited : (11)

References (53)
  • 1
    • 0029512848 scopus 로고
    • Unified description of the flow alignment and viscosity in the isotropic and nematic phases of liquid crystals
    • Borgmeyer C.P., Hess S. Unified description of the flow alignment and viscosity in the isotropic and nematic phases of liquid crystals. J. Non-Equilib. Thermodyn. 1995, 20:359-384.
    • (1995) J. Non-Equilib. Thermodyn. , vol.20 , pp. 359-384
    • Borgmeyer, C.P.1    Hess, S.2
  • 2
    • 0021386156 scopus 로고
    • Theoretical investigation of the shear ow of nematic liquid crystals with the Leslie viscosity α>0: hydrodynamic analogue of first order phase transitions
    • Carlsson T. Theoretical investigation of the shear ow of nematic liquid crystals with the Leslie viscosity α>0: hydrodynamic analogue of first order phase transitions. Mol. Cryst. Liq. Cryst. 1984, 104:307-334.
    • (1984) Mol. Cryst. Liq. Cryst. , vol.104 , pp. 307-334
    • Carlsson, T.1
  • 3
    • 0001433162 scopus 로고
    • Unit-sphere description of nematic flows
    • Carlsson T. Unit-sphere description of nematic flows. Phys. Rev. A 1986, 34(4):3393-3404.
    • (1986) Phys. Rev. A , vol.34 , Issue.4 , pp. 3393-3404
    • Carlsson, T.1
  • 5
    • 33644522605 scopus 로고    scopus 로고
    • On weak plane Couette and Poiseuille flows of rigid rod and platelet ensembles
    • Cui Z., Forest M.G., Wang Q., Zhou H. On weak plane Couette and Poiseuille flows of rigid rod and platelet ensembles. SIAM J. Appl. Math. 2006, 66(4):1227-1260.
    • (2006) SIAM J. Appl. Math. , vol.66 , Issue.4 , pp. 1227-1260
    • Cui, Z.1    Forest, M.G.2    Wang, Q.3    Zhou, H.4
  • 6
    • 0036435446 scopus 로고    scopus 로고
    • Dynamical phenomena in liquid-crystalline materials
    • Denn M.M., Rey A.D. Dynamical phenomena in liquid-crystalline materials. Annu. Rev. Fluid Mech. 2002, 34:233-266.
    • (2002) Annu. Rev. Fluid Mech. , vol.34 , pp. 233-266
    • Denn, M.M.1    Rey, A.D.2
  • 7
    • 0019268472 scopus 로고
    • Rheological properties of rodlike polymers in isotropic and liquid crystalline phases
    • Doi M. Rheological properties of rodlike polymers in isotropic and liquid crystalline phases. Ferroelectrics 1980, 30:247-254.
    • (1980) Ferroelectrics , vol.30 , pp. 247-254
    • Doi, M.1
  • 9
    • 0000156539 scopus 로고    scopus 로고
    • The rigid-rod model for nematic polymers: an analysis of the shear flow problem
    • Faraoni V., Grosso M., Crescitelli S., Maffettone P.L. The rigid-rod model for nematic polymers: an analysis of the shear flow problem. J. Rheol. 1999, 43:829-843.
    • (1999) J. Rheol. , vol.43 , pp. 829-843
    • Faraoni, V.1    Grosso, M.2    Crescitelli, S.3    Maffettone, P.L.4
  • 10
    • 0035951057 scopus 로고    scopus 로고
    • Roll cells and disclinations in sheared polymer nematics
    • Feng J., Tao J., Leal L.G. Roll cells and disclinations in sheared polymer nematics. J. Fluid Mech. 2001, 449:179-200.
    • (2001) J. Fluid Mech. , vol.449 , pp. 179-200
    • Feng, J.1    Tao, J.2    Leal, L.G.3
  • 11
    • 55949137144 scopus 로고    scopus 로고
    • Robustness of pulsating jet-like layers in sheared nano-rod dispersions
    • Forest M.G., Heidenreich S., Hess S., Yang X., Zhou R. Robustness of pulsating jet-like layers in sheared nano-rod dispersions. J. Non-Newt. Fluid Mech. 2008, 155(3):130-145.
    • (2008) J. Non-Newt. Fluid Mech. , vol.155 , Issue.3 , pp. 130-145
    • Forest, M.G.1    Heidenreich, S.2    Hess, S.3    Yang, X.4    Zhou, R.5
  • 12
    • 77953285040 scopus 로고    scopus 로고
    • Wang, Oscillating hydrodynamical jets in steady shear of nano-rod dispersions, in: Fifteenth International Congress of Rheology, The Society of Rheology 80th Annual Meeting
    • M.G. Forest, S. Heidenreich, S. Hess, S.H.L. Klapp, X. Yang, R. Zhou, Q. Wang, Oscillating hydrodynamical jets in steady shear of nano-rod dispersions, in: Fifteenth International Congress of Rheology, The Society of Rheology 80th Annual Meeting, vol. 1027, 2008, p. 1680170.
    • (2008) , vol.1027 , pp. 1680170
    • Forest, M.G.1    Heidenreich, S.2    Hess, S.H.L.3    Klapp, X.4    Yang, R.5    Zhou, Q.6
  • 13
    • 0037280933 scopus 로고    scopus 로고
    • Monodomain response of finite-aspect-ratio macromolecules in shear and related linear flows
    • Forest M.G., Wang Q. Monodomain response of finite-aspect-ratio macromolecules in shear and related linear flows. Rheol. Acta 2003, 42:20-46.
    • (2003) Rheol. Acta , vol.42 , pp. 20-46
    • Forest, M.G.1    Wang, Q.2
  • 14
    • 11444266806 scopus 로고    scopus 로고
    • The flow-phase diagram of Doi-Hess theory for sheared nematic polymers II: finite shear rates
    • Forest M.G., Wang Q., Zhou R. The flow-phase diagram of Doi-Hess theory for sheared nematic polymers II: finite shear rates. Rheol. Acta 2004, 44(1):80-93.
    • (2004) Rheol. Acta , vol.44 , Issue.1 , pp. 80-93
    • Forest, M.G.1    Wang, Q.2    Zhou, R.3
  • 15
    • 1642323734 scopus 로고    scopus 로고
    • Structure scaling properties of confined nematic polymers in plane Couette cells: the weak flow limit
    • Forest M.G., Wang Q., Zhou H., Zhou R. Structure scaling properties of confined nematic polymers in plane Couette cells: the weak flow limit. J. Rheol. 2004, 48(1):175-192.
    • (2004) J. Rheol. , vol.48 , Issue.1 , pp. 175-192
    • Forest, M.G.1    Wang, Q.2    Zhou, H.3    Zhou, R.4
  • 16
    • 19544366598 scopus 로고    scopus 로고
    • Chaotic boundaries of nematic polymers in mixed shear and extensional flows
    • Forest M.G., Zhou R., Wang Q. Chaotic boundaries of nematic polymers in mixed shear and extensional flows. Phys. Rev. Lett. 2004, 93(8):088301.
    • (2004) Phys. Rev. Lett. , vol.93 , Issue.8 , pp. 088301
    • Forest, M.G.1    Zhou, R.2    Wang, Q.3
  • 17
    • 33745373431 scopus 로고    scopus 로고
    • Kinetic structure simulations of nematic polymers in plane Couette cells, II: In-plane structure transitions
    • Forest M.G., Zhou R., Wang Q. Kinetic structure simulations of nematic polymers in plane Couette cells, II: In-plane structure transitions. Multiscale Model. Simul. 2005, 4(4):1280-1304.
    • (2005) Multiscale Model. Simul. , vol.4 , Issue.4 , pp. 1280-1304
    • Forest, M.G.1    Zhou, R.2    Wang, Q.3
  • 18
    • 50949120285 scopus 로고    scopus 로고
    • Microscopic-macroscopic simulations of rigid-rod polymer hydrodynamics: Heterogeneity and rheochaos
    • Forest M.G., Zhou R., Wang Q. Microscopic-macroscopic simulations of rigid-rod polymer hydrodynamics: Heterogeneity and rheochaos. Multiscale Model. Simul. 2007, 6(3):858-878.
    • (2007) Multiscale Model. Simul. , vol.6 , Issue.3 , pp. 858-878
    • Forest, M.G.1    Zhou, R.2    Wang, Q.3
  • 19
    • 43049146375 scopus 로고    scopus 로고
    • Nano-rod suspension flows: a 2D Smoluchowski-Navier-Stokes solver
    • Forest M.G., Zhou R., Wang Q. Nano-rod suspension flows: a 2D Smoluchowski-Navier-Stokes solver. International J. Numer. Anal. Model. 2007, 4(3-4):478-488.
    • (2007) International J. Numer. Anal. Model. , vol.4 , Issue.3-4 , pp. 478-488
    • Forest, M.G.1    Zhou, R.2    Wang, Q.3
  • 23
    • 2442491157 scopus 로고
    • Theory and simulation of optical banded textures of nematic polymers during shear flow
    • Han W.H., Rey A.D. Theory and simulation of optical banded textures of nematic polymers during shear flow. Macromolecules 1995, 28(24):8401-8405.
    • (1995) Macromolecules , vol.28 , Issue.24 , pp. 8401-8405
    • Han, W.H.1    Rey, A.D.2
  • 24
    • 33745460038 scopus 로고    scopus 로고
    • Robustness of the periodic and chaotic orientational behavior of tumbling nematic liquid crystals
    • Heidenreich S., Ilg P., Hess S. Robustness of the periodic and chaotic orientational behavior of tumbling nematic liquid crystals. Phys. Rev. E 2006, 73:061710.
    • (2006) Phys. Rev. E , vol.73 , pp. 061710
    • Heidenreich, S.1    Ilg, P.2    Hess, S.3
  • 25
    • 84945738341 scopus 로고
    • Irreversible thermodynamics of nonequilibrium alignment phenomena in molecular liquids and liquid crystals
    • a
    • Hess S. Irreversible thermodynamics of nonequilibrium alignment phenomena in molecular liquids and liquid crystals. Z. Naturforsch. 1975, 30a:728-738.
    • (1975) Z. Naturforsch. , vol.30 , pp. 728-738
    • Hess, S.1
  • 26
    • 65549147428 scopus 로고
    • Fokker-Planck-Equation approach to flow alignment in liquid crystals
    • a
    • Hess S. Fokker-Planck-Equation approach to flow alignment in liquid crystals. Z. Naturforsch. 1976, 31a:1034-1037.
    • (1976) Z. Naturforsch. , vol.31 , pp. 1034-1037
    • Hess, S.1
  • 28
    • 5544283210 scopus 로고
    • On the unified theory for non-equilibrium phenomena in the isotropic and nematic phases of a liquid crystal; spatially inhomogeneous alignment
    • a
    • Hess S., Pardowitz I. On the unified theory for non-equilibrium phenomena in the isotropic and nematic phases of a liquid crystal; spatially inhomogeneous alignment. Z. Naturforsch. 1981, 36a:554-558.
    • (1981) Z. Naturforsch. , vol.36 , pp. 554-558
    • Hess, S.1    Pardowitz, I.2
  • 29
    • 0018982917 scopus 로고
    • Rheology of concentrated solutions of helical polypeptides
    • Kiss G., Porter R.S. Rheology of concentrated solutions of helical polypeptides. J. Poly. Sci., Polym. Phys. Ed. 1980, 18:361.
    • (1980) J. Poly. Sci., Polym. Phys. Ed. , vol.18 , pp. 361
    • Kiss, G.1    Porter, R.S.2
  • 30
    • 70549098107 scopus 로고    scopus 로고
    • Computational studies of the shear flow behavior of a model for nematic liquid crystalline polymers
    • Klein D.H., Garcia-Cervera C., Ceniceros H.D., Leal L.G. Computational studies of the shear flow behavior of a model for nematic liquid crystalline polymers. ANZIAM J. 2005, 46(E):210-244.
    • (2005) ANZIAM J. , pp. 210-244
    • Klein, D.H.1    Garcia-Cervera, C.2    Ceniceros, H.D.3    Leal, L.G.4
  • 31
    • 0013116903 scopus 로고
    • in: L. Garrido (Ed.), Complex Fluids, Lecture Notes in Physics, Springer, NY
    • M. Kröger, H.S. Sellers, in: L. Garrido (Ed.), Complex Fluids, Lecture Notes in Physics, vol. 415, Springer, NY, 1992, pp. 295-301.
    • (1992) , vol.415 , pp. 295-301
    • Kröger, M.1    Sellers, H.S.2
  • 32
    • 0034123382 scopus 로고    scopus 로고
    • Emergence of structure in models of liquid crystalline polymers with elasticity
    • Kupferman R., Kawaguchi M., Denn M.M. Emergence of structure in models of liquid crystalline polymers with elasticity. J. Non-Newt. Fluid Mech. 2000, 91:255-271.
    • (2000) J. Non-Newt. Fluid Mech. , vol.91 , pp. 255-271
    • Kupferman, R.1    Kawaguchi, M.2    Denn, M.M.3
  • 33
    • 55949107119 scopus 로고
    • Development of orientation and texture during shearing of liquid-crystalline polymers
    • Larson R.G., Mead D.W. Development of orientation and texture during shearing of liquid-crystalline polymers. Liq. Cryst. 1992, 12:751-768.
    • (1992) Liq. Cryst. , vol.12 , pp. 751-768
    • Larson, R.G.1    Mead, D.W.2
  • 34
    • 3242847824 scopus 로고
    • The Ericksen number and Deborah number cascade in sheared polymeric nematics
    • Larson R.G., Mead D.W. The Ericksen number and Deborah number cascade in sheared polymeric nematics. Liq. Cryst. 1993, 15:151-169.
    • (1993) Liq. Cryst. , vol.15 , pp. 151-169
    • Larson, R.G.1    Mead, D.W.2
  • 35
    • 0019105378 scopus 로고
    • The transition to turbulence in nematic liquid crystals: Part 1, general review. Part 2, on the transition via tumbling
    • Manneville P. The transition to turbulence in nematic liquid crystals: Part 1, general review. Part 2, on the transition via tumbling. Mol. Cryst. Liq. Cryst. 1981, 70:223-250.
    • (1981) Mol. Cryst. Liq. Cryst. , vol.70 , pp. 223-250
    • Manneville, P.1
  • 36
    • 84943705542 scopus 로고
    • Rheology of liquid crystalline polymers
    • Marrucci G. Rheology of liquid crystalline polymers. Pure Appl. Chem. 1985, 57:1545-1552.
    • (1985) Pure Appl. Chem. , vol.57 , pp. 1545-1552
    • Marrucci, G.1
  • 37
    • 0000188518 scopus 로고
    • Rheology of rodlike polymers in the nematic phase with tumbling or shear orientation
    • Marrucci G. Rheology of rodlike polymers in the nematic phase with tumbling or shear orientation. Rheol. Acta 1990, 29:523-528.
    • (1990) Rheol. Acta , vol.29 , pp. 523-528
    • Marrucci, G.1
  • 38
    • 0001821831 scopus 로고
    • The elastic constants of Maier-Saupe rodlike molecular nematics
    • Marrucci G., Greco F. The elastic constants of Maier-Saupe rodlike molecular nematics. Mol. Cryst. Liq. Cryst. 1991, 206:17-30.
    • (1991) Mol. Cryst. Liq. Cryst. , vol.206 , pp. 17-30
    • Marrucci, G.1    Greco, F.2
  • 39
    • 0001156288 scopus 로고
    • Flow behavior of liquid crystalline polymers
    • Marrucci G., Greco F. Flow behavior of liquid crystalline polymers. Adv. Chem. Phys. 1993, 86:331-404.
    • (1993) Adv. Chem. Phys. , vol.86 , pp. 331-404
    • Marrucci, G.1    Greco, F.2
  • 40
    • 0037084350 scopus 로고    scopus 로고
    • The shear flow behavior of LCPs based on a generalized Doi model with distortional elasticity
    • Sgalari G., Leal G.L., Feng J.J. The shear flow behavior of LCPs based on a generalized Doi model with distortional elasticity. J. Non-Newt. Fluid Mech. 2002, 102:361-382.
    • (2002) J. Non-Newt. Fluid Mech. , vol.102 , pp. 361-382
    • Sgalari, G.1    Leal, G.L.2    Feng, J.J.3
  • 41
    • 0001719522 scopus 로고    scopus 로고
    • Phase transitions in liquid crystals
    • Singh S. Phase transitions in liquid crystals. Phys. Rep. 2000, 107-269.
    • (2000) Phys. Rep. , pp. 107-269
    • Singh, S.1
  • 42
    • 0037285783 scopus 로고    scopus 로고
    • Studies on the texture of nematic solutions of rodlike polymers. 3. Rheo-optical and rheological behavior in shear
    • Tan Z., Berry G.C. Studies on the texture of nematic solutions of rodlike polymers. 3. Rheo-optical and rheological behavior in shear. J. Rheol. 2003, 47(1):73-104.
    • (2003) J. Rheol. , vol.47 , Issue.1 , pp. 73-104
    • Tan, Z.1    Berry, G.C.2
  • 43
    • 0031269102 scopus 로고    scopus 로고
    • Effect of long range order on sheared liquid crystalline polymers, Part 1: Compatibility between tumbling behavior and fixed anchoring
    • Tsuji T., Rey A.D. Effect of long range order on sheared liquid crystalline polymers, Part 1: Compatibility between tumbling behavior and fixed anchoring. J. Non-Newt. Fluid Mech. 1997, 73:127-152.
    • (1997) J. Non-Newt. Fluid Mech. , vol.73 , pp. 127-152
    • Tsuji, T.1    Rey, A.D.2
  • 44
    • 0034508103 scopus 로고    scopus 로고
    • Effect of long range order on sheared liquid crystalline materials: flow regimes, transitions, and rheological phase diagrams
    • Tsuji T., Rey A.D. Effect of long range order on sheared liquid crystalline materials: flow regimes, transitions, and rheological phase diagrams. Phys. Rev. E 2000, 62:8141-8151.
    • (2000) Phys. Rev. E , vol.62 , pp. 8141-8151
    • Tsuji, T.1    Rey, A.D.2
  • 45
    • 0037157328 scopus 로고    scopus 로고
    • A hydrodynamic theory for solutions of nonhomogeneous nematic liquid crystalline polymers of different configuration
    • Wang Q. A hydrodynamic theory for solutions of nonhomogeneous nematic liquid crystalline polymers of different configuration. J. Chem. Phys. 2002, 116(20):9120-9136.
    • (2002) J. Chem. Phys. , vol.116 , Issue.20 , pp. 9120-9136
    • Wang, Q.1
  • 46
    • 55149100646 scopus 로고    scopus 로고
    • Dimensional robustness & instability of sheared semi-dilute, nano-rod dispersions
    • Yang X., Cui Z., Forest M.G., Wang Qi., Shen J. Dimensional robustness & instability of sheared semi-dilute, nano-rod dispersions. Multiscale Model. Simul. 2008, 7(2):622-644.
    • (2008) Multiscale Model. Simul. , vol.7 , Issue.2 , pp. 622-644
    • Yang, X.1    Cui, Z.2    Forest, M.G.3    Wang, Q.4    Shen, J.5
  • 47
    • 64549100248 scopus 로고    scopus 로고
    • Quench sensitivity to defects and shear banding in nematic polymer film flows
    • Yang X., Forest M.G., Mullins W., Wang Q. Quench sensitivity to defects and shear banding in nematic polymer film flows. J. Non-Newt. Fluid Mech. 2009, 159:115-129.
    • (2009) J. Non-Newt. Fluid Mech. , vol.159 , pp. 115-129
    • Yang, X.1    Forest, M.G.2    Mullins, W.3    Wang, Q.4
  • 48
    • 65349164749 scopus 로고    scopus 로고
    • Dynamic defect morphology and hydrodynamics of sheared nematic polymers in two space dimensions
    • Yang X., Forest M.G., Mullins W., Wang Q. Dynamic defect morphology and hydrodynamics of sheared nematic polymers in two space dimensions. J. Rheology 2009, 53(3):589-615.
    • (2009) J. Rheology , vol.53 , Issue.3 , pp. 589-615
    • Yang, X.1    Forest, M.G.2    Mullins, W.3    Wang, Q.4
  • 49
    • 77953288655 scopus 로고    scopus 로고
    • 2D Lid-driven cavity flow of nematic polymers: an unsteady sea of defects, Soft Matter, in press
    • X. Yang, M.G. Forest, Q. Wang, W. Mullins, 2D Lid-driven cavity flow of nematic polymers: an unsteady sea of defects, Soft Matter, in press.
    • Yang, X.1    Forest, M.G.2    Wang, Q.3    Mullins, W.4
  • 50
    • 33644539246 scopus 로고    scopus 로고
    • Anchoring distortions coupled with plane Couette & Poiseuille flows of nematic polymers in viscous solvents: morphology in molecular orientation, stress & flow
    • Zhou H., Forest M.G. Anchoring distortions coupled with plane Couette & Poiseuille flows of nematic polymers in viscous solvents: morphology in molecular orientation, stress & flow. Disc. Contin. Dyn. Sys. Ser. B 2006, 6:407-425.
    • (2006) Disc. Contin. Dyn. Sys. Ser. B , vol.6 , pp. 407-425
    • Zhou, H.1    Forest, M.G.2
  • 51
    • 35348949266 scopus 로고    scopus 로고
    • Nematic liquids in weak capillary Poiseuille flow: structure scaling laws and effective conductivity implications
    • Zhou H., Forest M.G. Nematic liquids in weak capillary Poiseuille flow: structure scaling laws and effective conductivity implications. Int. J. Numer. Anal. Model. 2007, 4(3):460-477.
    • (2007) Int. J. Numer. Anal. Model. , vol.4 , Issue.3 , pp. 460-477
    • Zhou, H.1    Forest, M.G.2
  • 52
    • 35348952125 scopus 로고    scopus 로고
    • Anchoring-induced texture and shear banding of nematic polymers in shear cells
    • Zhou H., Forest M.G., Wang Q. Anchoring-induced texture and shear banding of nematic polymers in shear cells. Disc. Contin. Dyn. Syst. Ser. B 2007, 8(3):707-733.
    • (2007) Disc. Contin. Dyn. Syst. Ser. B , vol.8 , Issue.3 , pp. 707-733
    • Zhou, H.1    Forest, M.G.2    Wang, Q.3
  • 53
    • 29144455012 scopus 로고    scopus 로고
    • Kinetic structure simulations of nematic polymers in plane Couette cells, I: The algorithm and benchmarks
    • Zhou R., Forest M.G., Wang Q. Kinetic structure simulations of nematic polymers in plane Couette cells, I: The algorithm and benchmarks. Multiscale Model. Simul. 2005, 3(4):853-870.
    • (2005) Multiscale Model. Simul. , vol.3 , Issue.4 , pp. 853-870
    • Zhou, R.1    Forest, M.G.2    Wang, Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.