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Volumn 66, Issue 4, 2006, Pages 1227-1260

On weak plane Couette and Poiseuille flows of rigid rod and platelet ensembles

Author keywords

Asymptotic expansions; Instability; Liquid crystals; Nematic polymers; Partial differential equations

Indexed keywords

ASYMPTOTIC EXPANSIONS; ELASTICITY CONSTANTS; HYDRODYNAMIC THEORIES; NEMATIC POLYMERS;

EID: 33644522605     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/04061934x     Document Type: Article
Times cited : (18)

References (34)
  • 1
    • 0001484717 scopus 로고    scopus 로고
    • Molecular orientation and rheology in sheared lyotropic liquid crystalline polymers
    • W. R. BURGHARDT, Molecular orientation and rheology in sheared lyotropic liquid crystalline polymers, Macromol. Chem. Phys., 199 (1998), pp. 471-488.
    • (1998) Macromol. Chem. Phys. , vol.199 , pp. 471-488
    • Burghardt, W.R.1
  • 2
    • 0001462744 scopus 로고    scopus 로고
    • Chevron patterns in liquid crystal flows
    • M. C. CALDERER AND B. MUKHERJEE, Chevron patterns in liquid crystal flows, Phys. D, 98 (1996), pp. 201-224.
    • (1996) Phys. D , vol.98 , pp. 201-224
    • Calderer, M.C.1    Mukherjee, B.2
  • 3
    • 0004727331 scopus 로고    scopus 로고
    • On Poiseuille flow of polymeric liquid crystals
    • M. C. CALDERER AND B. MUKHERJEE, On Poiseuille flow of polymeric liquid crystals, Liq. Cryst., 22 (1997), pp. 121-136.
    • (1997) Liq. Cryst. , vol.22 , pp. 121-136
    • Calderer, M.C.1    Mukherjee, B.2
  • 4
    • 0021386156 scopus 로고
    • Theoretical investigation of the shear flow of nematic liquid crystals with the Leslie viscosity a > 0: Hydrodynamic analogue of first order phase transitions
    • T. CARLSSON, Theoretical investigation of the shear flow of nematic liquid crystals with the Leslie viscosity a > 0: Hydrodynamic analogue of first order phase transitions, Mol. Cryst. Liq. Cryst., 104 (1984), pp. 307-334.
    • (1984) Mol. Cryst. Liq. Cryst. , vol.104 , pp. 307-334
    • Carlsson, T.1
  • 5
    • 0001433162 scopus 로고
    • Unit-sphere description of nematic flows
    • T. CARLSSON, Unit-sphere description of nematic flows, Phys. Rev. A, 34 (1986), pp. 3393-3404.
    • (1986) Phys. Rev. A , vol.34 , pp. 3393-3404
    • Carlsson, T.1
  • 9
  • 10
    • 0037280933 scopus 로고    scopus 로고
    • Monodomain response of finite-aspect-ratio macromolecules in shear and related linear flows
    • M. G. FOREST AND Q. WANG, Monodomain response of finite-aspect-ratio macromolecules in shear and related linear flows, Rheol. Acta, 42 (2003), pp. 20-46.
    • (2003) Rheol. Acta , vol.42 , pp. 20-46
    • Forest, M.G.1    Wang, Q.2
  • 11
    • 0034207380 scopus 로고    scopus 로고
    • Exact banded patterns from a Doi-Marrucci-Greco model of nematic liquid crystal polymers
    • M. G. FOREST, Q. WANG, AND H. ZHOU, Exact banded patterns from a Doi-Marrucci-Greco model of nematic liquid crystal polymers, Phys. Rev. E, 61 (2000), pp. 6655-6662.
    • (2000) Phys. Rev. E , vol.61 , pp. 6655-6662
    • Forest, M.G.1    Wang, Q.2    Zhou, H.3
  • 12
    • 0035873111 scopus 로고    scopus 로고
    • Methods for the exact construction of mesoscale spatial structures in liquid crystal polymers
    • M. G. FOREST, Q. WANG, AND H. ZHOU, Methods for the exact construction of mesoscale spatial structures in liquid crystal polymers, Phys. D, 152-153 (2001), pp. 288-309.
    • (2001) Phys. D , vol.152-153 , pp. 288-309
    • Forest, M.G.1    Wang, Q.2    Zhou, H.3
  • 13
    • 0037283001 scopus 로고    scopus 로고
    • Full-tensor alignment criteria for sheared nematic polymers
    • M. G. FOREST, R. ZHOU, AND Q. WANG, Full-tensor alignment criteria for sheared nematic polymers, J. Rheol., 47 (2003), pp. 105-127.
    • (2003) J. Rheol. , vol.47 , pp. 105-127
    • Forest, M.G.1    Zhou, R.2    Wang, Q.3
  • 14
    • 1642323734 scopus 로고    scopus 로고
    • Structure scaling properties of confined nematic polymers in plane Couette cells: The weak flow limit
    • M. G. FOREST, Q. WANG, H. ZHOU, AND R. ZHOU, Structure scaling properties of confined nematic polymers in plane Couette cells: The weak flow limit, J. Rheol., 48 (2004), pp. 175-192.
    • (2004) J. Rheol. , vol.48 , pp. 175-192
    • Forest, M.G.1    Wang, Q.2    Zhou, H.3    Zhou, R.4
  • 15
    • 1842481276 scopus 로고    scopus 로고
    • The weak shear phase diagram for nematic polymers
    • M. G. FOREST, Q. WANG, AND R. ZHOU, The weak shear phase diagram for nematic polymers, Rheol. Acta, 43 (2004), pp. 17-37.
    • (2004) Rheol. Acta , vol.43 , pp. 17-37
    • Forest, M.G.1    Wang, Q.2    Zhou, R.3
  • 16
    • 11444266806 scopus 로고    scopus 로고
    • The flow-phase diagram of Doi-Hess theory for sheared nematic polymers II: Finite shear rates
    • M. G. FOREST, Q. WANG, AND R. ZHOU, The flow-phase diagram of Doi-Hess theory for sheared nematic polymers II: Finite shear rates, Rheol. Acta, 44 (2004), pp. 80-93.
    • (2004) Rheol. Acta , vol.44 , pp. 80-93
    • Forest, M.G.1    Wang, Q.2    Zhou, R.3
  • 18
    • 35348929665 scopus 로고    scopus 로고
    • Anisotropy and heterogeneity of nematic polymer nano-composite film properties
    • Modeling of Soft Matter, M.-C. T. Calderer and E. M. Terentjev, eds., Springer-Verlag, New York
    • M. G. FOREST, R. ZHOU, Q. WANG, X. ZHENG, AND R. LIPTON, Anisotropy and heterogeneity of nematic polymer nano-composite film properties, in Modeling of Soft Matter, IMA Math. Appl., Vol. 141, M.-C. T. Calderer and E. M. Terentjev, eds., Springer-Verlag, New York, 2005, pp. 85-98.
    • (2005) IMA Math. Appl. , vol.141 , pp. 85-98
    • Forest, M.G.1    Zhou, R.2    Wang, Q.3    Zheng, X.4    Lipton, R.5
  • 19
    • 29144436409 scopus 로고    scopus 로고
    • Anisotropy and dynamic ranges in effective properties of of nematic polymer nano-composites
    • M. G. FOREST, X. ZHENG, R. ZHOU, Q. WANG, AND R. LIPTON, Anisotropy and dynamic ranges in effective properties of of nematic polymer nano-composites. Adv. Func. Mat., 15 (2005), pp. 2029-2035.
    • (2005) Adv. Func. Mat. , vol.15 , pp. 2029-2035
    • Forest, M.G.1    Zheng, X.2    Zhou, R.3    Wang, Q.4    Lipton, R.5
  • 20
    • 0003339543 scopus 로고
    • Fluid dynamics of viscoelastic liquids
    • Springer-Verlag, New York
    • D. D. JOSEPH, Fluid Dynamics of Viscoelastic Liquids, Applied Math (N.Y.) 84, Springer-Verlag, New York, 1990.
    • (1990) Applied Math (N.Y.) , vol.84
    • Joseph, D.D.1
  • 21
    • 0034123382 scopus 로고    scopus 로고
    • Emergence of structure in a model of liquid crystalline polymers with elastic coupling
    • R. KUPFERMAN, M. KAWAGUCHI, AND M. M. DENN, Emergence of structure in a model of liquid crystalline polymers with elastic coupling, J. Non-Newtonian Fluid Mech., 91 (2000), pp. 255-271.
    • (2000) J. Non-newtonian Fluid Mech. , vol.91 , pp. 255-271
    • Kupferman, R.1    Kawaguchi, M.2    Denn, M.M.3
  • 23
    • 84953677055 scopus 로고
    • Roll-cell instabilities in shearing flows of nematic polymers
    • R. G. LARSON, Roll-cell instabilities in shearing flows of nematic polymers, J. Rheol., 37 (1993), page 175.
    • (1993) J. Rheol. , vol.37 , pp. 175
    • Larson, R.G.1
  • 24
    • 55949107119 scopus 로고
    • Development of orientation and texture during shearing of liquid-crystalline polymers
    • R. G. LARSON AND D. W. MEAD, Development of orientation and texture during shearing of liquid-crystalline polymers, Liq. Cryst., 12 (1993), pp. 751-768.
    • (1993) Liq. Cryst. , vol.12 , pp. 751-768
    • Larson, R.G.1    Mead, D.W.2
  • 25
    • 3242847824 scopus 로고
    • The Ericksen number and Deborah number cascade in sheared polymeric nematics
    • R. G. LARSON AND D. W. MEAD, The Ericksen number and Deborah number cascade in sheared polymeric nematics, Liq. Cryst., 15 (1993), pp. 151-169.
    • (1993) Liq. Cryst. , vol.15 , pp. 151-169
    • Larson, R.G.1    Mead, D.W.2
  • 26
    • 0019105378 scopus 로고
    • The transition to turbulence in nematic liquid crystals: Part 1, general review. Part 2, on the transition via tumbling
    • P. MANNEVILLE, The transition to turbulence in nematic liquid crystals: Part 1, general review. Part 2, on the transition via tumbling, Mol. Cryst. Liq. Cryst., 70 (1981), pp. 223-250.
    • (1981) Mol. Cryst. Liq. Cryst. , vol.70 , pp. 223-250
    • Manneville, P.1
  • 27
    • 0026419867 scopus 로고
    • Tumbling regime of liquid-crystalline polymers
    • G. MARRUCCI, Tumbling regime of liquid-crystalline polymers, Macromol., 24 (1991), pp. 4176-4182.
    • (1991) Macromol. , vol.24 , pp. 4176-4182
    • Marrucci, G.1
  • 28
    • 0001156288 scopus 로고
    • Flow behavior of liquid crystalline polymers
    • G. MARRUCCI AND F. GRECO, Flow behavior of liquid crystalline polymers, Adv. Chem. Phys., 86 (1993), pp. 331-404.
    • (1993) Adv. Chem. Phys. , vol.86 , pp. 331-404
    • Marrucci, G.1    Greco, F.2
  • 29
    • 0036435446 scopus 로고    scopus 로고
    • Dynamical phenomena in liquid-crystalline materials
    • A. D. REY AND M. M. DENN, Dynamical phenomena in liquid-crystalline materials, Annual Rev. Fluid Mech., 34 (2002), pp. 233-266.
    • (2002) Annual Rev. Fluid Mech. , vol.34 , pp. 233-266
    • Rey, A.D.1    Denn, M.M.2
  • 30
    • 0037084350 scopus 로고    scopus 로고
    • The shear flow behavior of LCPs based on a generalized Doi model with distortional elasticity
    • G. SGALARI, G. L. LEAL, AND J. FENG, The shear flow behavior of LCPs based on a generalized Doi model with distortional elasticity, J. Non-Newtonian Fluid Mech., 102 (2002), pp. 361-382.
    • (2002) J. Non-newtonian Fluid Mech. , vol.102 , pp. 361-382
    • Sgalari, G.1    Leal, G.L.2    Feng, J.3
  • 31
    • 0037285783 scopus 로고    scopus 로고
    • Studies on the texture of nematic solutions of rodlike polymers, 3. Rheo-optical and rheological behavior in shear
    • Z. TAN AND G. C. BERRY, Studies on the texture of nematic solutions of rodlike polymers, 3. Rheo-optical and rheological behavior in shear, J. Rheol., 47 (2003), pp. 73-104.
    • (2003) J. Rheol. , vol.47 , pp. 73-104
    • Tan, Z.1    Berry, G.C.2
  • 32
    • 0031269102 scopus 로고    scopus 로고
    • Effect of long range order on sheared liquid crystalline polymers, Part 1: Compatibility between tumbling behavior and fixed anchoring
    • T. TSUJI AND A. D. REY, Effect of long range order on sheared liquid crystalline polymers, Part 1: Compatibility between tumbling behavior and fixed anchoring, J. Non-Newtonian Fluid Mech., 73 (1997), pp. 127-152.
    • (1997) J. Non-newtonian Fluid Mech. , vol.73 , pp. 127-152
    • Tsuji, T.1    Rey, A.D.2
  • 33
    • 0037157328 scopus 로고    scopus 로고
    • A hydrodynamic theory of nematic liquid crystalline polymers of different configurations
    • Q. WANG, A hydrodynamic theory of nematic liquid crystalline polymers of different configurations, J. Chem. Phys., 116 (2002), pp. 9120-9136.
    • (2002) J. Chem. Phys. , vol.116 , pp. 9120-9136
    • Wang, Q.1
  • 34
    • 17144364978 scopus 로고    scopus 로고
    • Exact scaling laws for electrical conductivity properties of nematic polymer nano-composite monodomains
    • X. ZHENG, M. G. FOREST, R. LIPTON, R. ZHOU, AND Q. WANG, Exact scaling laws for electrical conductivity properties of nematic polymer nano-composite monodomains, Adv. Func. Mat., 15 (2005), pp. 627-638.
    • (2005) Adv. Func. Mat. , vol.15 , pp. 627-638
    • Zheng, X.1    Forest, M.G.2    Lipton, R.3    Zhou, R.4    Wang, Q.5


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