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Erschienen in: Rheologica Acta 3/2008

01.04.2008 | Review

Perspectives on shear banding in complex fluids

verfasst von: Peter D. Olmsted

Erschienen in: Rheologica Acta | Ausgabe 3/2008

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Abstract

In this review, I present an idiosyncratic view of the current state of shear banding in complex fluids. Particular attention is paid to some of the outstanding issues and questions facing the field, including the applicability of models that have “traditionally” been used to model experiments; future directions and challenges for experimentalists; and some of the issues surrounding vorticity banding, which has been discussed theoretically and whose experiments are fewer in number yet, in many ways, more varied in character.

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Literatur
Zurück zum Zitat Ajdari A (1998) Rheological behavior of a solution of particles aggregating on the containing walls. Phys Rev E 58:6294–6297 Ajdari A (1998) Rheological behavior of a solution of particles aggregating on the containing walls. Phys Rev E 58:6294–6297
Zurück zum Zitat Annable T, Buscall R, Ettelaie R, Whittlestone D (1993) The rheology of solutions of associating polymers: comparison of experimental behavior with transient network theory. J Rheol 37:695 Annable T, Buscall R, Ettelaie R, Whittlestone D (1993) The rheology of solutions of associating polymers: comparison of experimental behavior with transient network theory. J Rheol 37:695
Zurück zum Zitat Aradian A, Cates ME (2005) Instability and spatiotemporal rheochaos in a shear-thickening fluid model. Europhys Lett 70:397–403 Aradian A, Cates ME (2005) Instability and spatiotemporal rheochaos in a shear-thickening fluid model. Europhys Lett 70:397–403
Zurück zum Zitat Bandyopadhyay R, Basappa G, Sood AK (2000) Observation of chaotic dynamics in dilute sheared aqueous solutions of CTAT. Phys Rev Lett 84:2022–2025 Bandyopadhyay R, Basappa G, Sood AK (2000) Observation of chaotic dynamics in dilute sheared aqueous solutions of CTAT. Phys Rev Lett 84:2022–2025
Zurück zum Zitat Barentin C, Liu AJ (2001) Shear thickening in dilute solutions of wormlike micelles. Europhys Lett 55:432–438 Barentin C, Liu AJ (2001) Shear thickening in dilute solutions of wormlike micelles. Europhys Lett 55:432–438
Zurück zum Zitat Barham PJ, Keller A (1990) Flow-induced liquid-liquid phase separation and adsorption entanglement layer formation in high-molecular-weight polymer solutions. Macromolecules 23:303–309 Barham PJ, Keller A (1990) Flow-induced liquid-liquid phase separation and adsorption entanglement layer formation in high-molecular-weight polymer solutions. Macromolecules 23:303–309
Zurück zum Zitat Becu L, Manneville S, Colin A (2004) Spatiotemporal dynamics of wormlike micelles under shear. Phys Rev Lett 93:018301 Becu L, Manneville S, Colin A (2004) Spatiotemporal dynamics of wormlike micelles under shear. Phys Rev Lett 93:018301
Zurück zum Zitat Becu L, Grondin P, Colin A, Manneville S (2005) How does a concentrated emulsion flow? Yielding, local rheology, and wall slip. Colloid Surf A-Physicochem Eng Asp 263:146–152 Becu L, Grondin P, Colin A, Manneville S (2005) How does a concentrated emulsion flow? Yielding, local rheology, and wall slip. Colloid Surf A-Physicochem Eng Asp 263:146–152
Zurück zum Zitat Bécu L, Anache D, Manneville S, Colin A (2007) Evidence for three-dimensional unstable flows in shear-banding wormlike micelles. Phys Rev E 76:011503 Bécu L, Anache D, Manneville S, Colin A (2007) Evidence for three-dimensional unstable flows in shear-banding wormlike micelles. Phys Rev E 76:011503
Zurück zum Zitat Bergenholtz J, Wagner NJ (1996) Formation of AOT/brine multilamellar vesicles. Langmuir 12:3122–3126 Bergenholtz J, Wagner NJ (1996) Formation of AOT/brine multilamellar vesicles. Langmuir 12:3122–3126
Zurück zum Zitat Berret JF (1997) Transient rheology of wormlike micelles. Langmuir 13:2227–2234 Berret JF (1997) Transient rheology of wormlike micelles. Langmuir 13:2227–2234
Zurück zum Zitat Berret J-F (2005) Molecular gels. In: Weiss RG, Terech P (eds) Chap. Rheology of wormlike micelles: equilibrium properties and shear banding transition. Springer, Dordrecht, pp 235–275 Berret J-F (2005) Molecular gels. In: Weiss RG, Terech P (eds) Chap. Rheology of wormlike micelles: equilibrium properties and shear banding transition. Springer, Dordrecht, pp 235–275
Zurück zum Zitat Berret JF, Porte G (1999) Metastable versus unstable transients at the onset of a shear-induced phase transition. Phys Rev E 60:4268–4271 Berret JF, Porte G (1999) Metastable versus unstable transients at the onset of a shear-induced phase transition. Phys Rev E 60:4268–4271
Zurück zum Zitat Berret J, Séréro Y (2001) Evidence of shear-induced fluid fracture in telechelic polymer networks. Phys Rev Lett 87:48303 Berret J, Séréro Y (2001) Evidence of shear-induced fluid fracture in telechelic polymer networks. Phys Rev Lett 87:48303
Zurück zum Zitat Berret JF, Roux DC, Porte G, Lindner P (1994) Shear-induced isotropic-to-nematic phase-transition in equilibrium polymers. Europhys Lett 25:521–526 Berret JF, Roux DC, Porte G, Lindner P (1994) Shear-induced isotropic-to-nematic phase-transition in equilibrium polymers. Europhys Lett 25:521–526
Zurück zum Zitat Berret JF, Porte G, Decruppe JP (1997) Inhomogeneous shear flows of wormlike micelles: a master dynamic phase diagram. Phys Rev E 55:1668–1676 Berret JF, Porte G, Decruppe JP (1997) Inhomogeneous shear flows of wormlike micelles: a master dynamic phase diagram. Phys Rev E 55:1668–1676
Zurück zum Zitat Berret JF, Gamez-Corrales R, Oberdisse J, Walker LM, Lindner P (1998) Flow-structure relationship of shear-thickening surfactant solutions. Europhys Lett 41:677–682 Berret JF, Gamez-Corrales R, Oberdisse J, Walker LM, Lindner P (1998) Flow-structure relationship of shear-thickening surfactant solutions. Europhys Lett 41:677–682
Zurück zum Zitat Bhave AV, Menon RK, Armstrong RC, Brown RA (1993) A constitutive equation for liquid-crystalline polymer solutions. J Rheol 37:413–441 Bhave AV, Menon RK, Armstrong RC, Brown RA (1993) A constitutive equation for liquid-crystalline polymer solutions. J Rheol 37:413–441
Zurück zum Zitat Boltenhagen P, Hu YT, Matthys EF, Pine DJ (1997) Observation of bulk phase separation and coexistence in a sheared micellar solution. Phys Rev Lett 79:2359–2362 Boltenhagen P, Hu YT, Matthys EF, Pine DJ (1997) Observation of bulk phase separation and coexistence in a sheared micellar solution. Phys Rev Lett 79:2359–2362
Zurück zum Zitat Bonn D, Meunier J, Greffier O, Alkahwaji A, Kellay H (1998) Bistability in non-Newtonian flow: rheology of lyotropic liquid crystals. Phys Rev E 58:2115–2118 Bonn D, Meunier J, Greffier O, Alkahwaji A, Kellay H (1998) Bistability in non-Newtonian flow: rheology of lyotropic liquid crystals. Phys Rev E 58:2115–2118
Zurück zum Zitat Boukany PE, Tapadia P, Wang SQ (2006) Interfacial stick-slip transition in simple shear of entangled melts. J Rheol 50:641–654 Boukany PE, Tapadia P, Wang SQ (2006) Interfacial stick-slip transition in simple shear of entangled melts. J Rheol 50:641–654
Zurück zum Zitat Britton MM, Callaghan PT (1999) Shear banding instability in wormlike micellar solutions. Eur Phys J B 7:237–249 Britton MM, Callaghan PT (1999) Shear banding instability in wormlike micellar solutions. Eur Phys J B 7:237–249
Zurück zum Zitat Bruinsma R, Gelbart WM, Benshaul A (1992) Flow-induced gelation of living (micellar) polymers. J Chem Phys 96:7710–7727 Bruinsma R, Gelbart WM, Benshaul A (1992) Flow-induced gelation of living (micellar) polymers. J Chem Phys 96:7710–7727
Zurück zum Zitat Calderer MC, Forest MG, Wang Q (2004) Kinetic theories and mesoscopic models for solutions of nonhomogeneous liquid crystal polymers. J Non-Newton Fluid Mech 120:69–78 Calderer MC, Forest MG, Wang Q (2004) Kinetic theories and mesoscopic models for solutions of nonhomogeneous liquid crystal polymers. J Non-Newton Fluid Mech 120:69–78
Zurück zum Zitat Callaghan PT, Cates ME, Rofe CJ, Smeulders JAF (1996) A study of the spurt effect in wormlike micelles using nuclear-magnetic-resonance microscopy. J Phys II 6:375–393 (France) Callaghan PT, Cates ME, Rofe CJ, Smeulders JAF (1996) A study of the spurt effect in wormlike micelles using nuclear-magnetic-resonance microscopy. J Phys II 6:375–393 (France)
Zurück zum Zitat Cappelaere E, Berret JF, Decruppe JP, Cressely R, Lindner P (1997) Rheology, birefringence, and small-angle neutron scattering in a charged micellar system: evidence of a shear-induced phase transition. Phys Rev E 56:1869–1878 Cappelaere E, Berret JF, Decruppe JP, Cressely R, Lindner P (1997) Rheology, birefringence, and small-angle neutron scattering in a charged micellar system: evidence of a shear-induced phase transition. Phys Rev E 56:1869–1878
Zurück zum Zitat Castillo-Tejas J, Alvarado JFJ, Gonzalez-Alatorre G, Luna-Barcenas G, Sanchez IC, Macias-Salinas R, Manero O (2005) Nonequilibrium molecular dynamics of the rheological and structural properties of linear and branched molecules. Simple shear and poiseuille flows; instabilities and slip. J Chem Phys 123:054907 Castillo-Tejas J, Alvarado JFJ, Gonzalez-Alatorre G, Luna-Barcenas G, Sanchez IC, Macias-Salinas R, Manero O (2005) Nonequilibrium molecular dynamics of the rheological and structural properties of linear and branched molecules. Simple shear and poiseuille flows; instabilities and slip. J Chem Phys 123:054907
Zurück zum Zitat Cates ME (1990) Nonlinear viscoelasticity of wormlike micelles (and other reversibly breakable polymers). J Phys Chem 94:371–375 Cates ME (1990) Nonlinear viscoelasticity of wormlike micelles (and other reversibly breakable polymers). J Phys Chem 94:371–375
Zurück zum Zitat Cates M, Candau S (1990) Statics and dynamics of worm-like surfactant micelles. J Phys Condens Matter 2:6869–6892 Cates M, Candau S (1990) Statics and dynamics of worm-like surfactant micelles. J Phys Condens Matter 2:6869–6892
Zurück zum Zitat Cates ME, Candau SJ (2001) Ring-driven shear thickening in wormlike micelles? Europhys Lett 55:887–983 Cates ME, Candau SJ (2001) Ring-driven shear thickening in wormlike micelles? Europhys Lett 55:887–983
Zurück zum Zitat Cates ME, Fielding SM (2006) Rheology of giant micelles. Adv Phys 55:799–879 Cates ME, Fielding SM (2006) Rheology of giant micelles. Adv Phys 55:799–879
Zurück zum Zitat Cates ME, Turner MS (1990) Flow-induced gelation of rodlike micelles. Europhys Lett 11:681–686 Cates ME, Turner MS (1990) Flow-induced gelation of rodlike micelles. Europhys Lett 11:681–686
Zurück zum Zitat Cates ME, Head DA, Ajdari A (2002) Rheological chaos in a scalar shear-thickening model. Phys Rev E 66:025202 Cates ME, Head DA, Ajdari A (2002) Rheological chaos in a scalar shear-thickening model. Phys Rev E 66:025202
Zurück zum Zitat Chakrabarti B, Das M, Dasgupta C, Ramaswamy S, Sood AK (2004) Spatiotemporal rheochaos in nematic hydrodynamics. Phys Rev Lett 92:055501 Chakrabarti B, Das M, Dasgupta C, Ramaswamy S, Sood AK (2004) Spatiotemporal rheochaos in nematic hydrodynamics. Phys Rev Lett 92:055501
Zurück zum Zitat Chen LB, Zukoski CF, Ackerson BJ, Hanley HJM, Straty GC, Barker J, Glinka CJ (1992) Structural-changes and orientational order in a sheared colloidal suspension. Phys Rev Lett 69:688–691 Chen LB, Zukoski CF, Ackerson BJ, Hanley HJM, Straty GC, Barker J, Glinka CJ (1992) Structural-changes and orientational order in a sheared colloidal suspension. Phys Rev Lett 69:688–691
Zurück zum Zitat Chen LB, Ackerson BJ, Zukoski CF (1994a) Rheological consequences of microstructural transitions in colloidal crystals. J Rheol 38:193–216 Chen LB, Ackerson BJ, Zukoski CF (1994a) Rheological consequences of microstructural transitions in colloidal crystals. J Rheol 38:193–216
Zurück zum Zitat Chen LB, Chow MK, Ackerson BJ, Zukoski CF (1994b) Rheological and microstructural transitions in colloidal crystals. Langmuir 10:2817–2829 Chen LB, Chow MK, Ackerson BJ, Zukoski CF (1994b) Rheological and microstructural transitions in colloidal crystals. Langmuir 10:2817–2829
Zurück zum Zitat Cohen I, Mason TG, Weitz DA (2004) Shear-induced configurations of confined colloidal suspensions. Phys Rev Lett 93:46001 Cohen I, Mason TG, Weitz DA (2004) Shear-induced configurations of confined colloidal suspensions. Phys Rev Lett 93:46001
Zurück zum Zitat Cook LP, Rossi LR (2004) Slippage and migration in models of dilute wormlike micellar solutions and polymeric fluids. J Non-Newton Fluid Mech 116:347–369 Cook LP, Rossi LR (2004) Slippage and migration in models of dilute wormlike micellar solutions and polymeric fluids. J Non-Newton Fluid Mech 116:347–369
Zurück zum Zitat Courbin L, Panizza P, Salmon JB (2004) Observation of droplet size oscillations in a two-phase fluid under shear flow. Phys Rev Lett 92:018305 Courbin L, Panizza P, Salmon JB (2004) Observation of droplet size oscillations in a two-phase fluid under shear flow. Phys Rev Lett 92:018305
Zurück zum Zitat Das M, Chakrabarti B, Dasgupta C, Ramaswamy S, Sood AK (2005) Routes to spatiotemporal chaos in the rheology of nematogenic fluids. Phys Rev E 71:021707 Das M, Chakrabarti B, Dasgupta C, Ramaswamy S, Sood AK (2005) Routes to spatiotemporal chaos in the rheology of nematogenic fluids. Phys Rev E 71:021707
Zurück zum Zitat Decruppe JP, Cressely R, Makhloufi R, Cappelaere E (1995) Flow birefringence experiments showing a shear-banding structure in a CTAB solution. Coll Polym Sci 273:346–351 Decruppe JP, Cressely R, Makhloufi R, Cappelaere E (1995) Flow birefringence experiments showing a shear-banding structure in a CTAB solution. Coll Polym Sci 273:346–351
Zurück zum Zitat Decruppe JP, Greffier O, Manneville S, Lerouge S (2006) Local velocity measurements in heterogeneous and time-dependent flows of a micellar solution. Phys Rev E 73:061509 Decruppe JP, Greffier O, Manneville S, Lerouge S (2006) Local velocity measurements in heterogeneous and time-dependent flows of a micellar solution. Phys Rev E 73:061509
Zurück zum Zitat de Gennes PG (2007) Melt fracture of entangled polymers. Eur Phys J E 23:3–5 de Gennes PG (2007) Melt fracture of entangled polymers. Eur Phys J E 23:3–5
Zurück zum Zitat de Gennes PG, Prost J (1993) The physics of liquid crystals, 2nd edn. Clarendon, Oxford de Gennes PG, Prost J (1993) The physics of liquid crystals, 2nd edn. Clarendon, Oxford
Zurück zum Zitat Denn MM (2001) Extrusion instabilities and wall slip. Annu Rev Fluid Mech 33:265–287 Denn MM (2001) Extrusion instabilities and wall slip. Annu Rev Fluid Mech 33:265–287
Zurück zum Zitat Denniston C, Orlandini E, Yeomans JM (2001) Lattice Boltzmann simulations of liquid crystal hydrodynamics. Phys Rev E 63:56702 Denniston C, Orlandini E, Yeomans JM (2001) Lattice Boltzmann simulations of liquid crystal hydrodynamics. Phys Rev E 63:56702
Zurück zum Zitat Dhez O, Nallet F, Diat O (2001) Influence of screw dislocations on the orientation of a sheared lamellar phase. Europhys Lett 55:821–826 Dhez O, Nallet F, Diat O (2001) Influence of screw dislocations on the orientation of a sheared lamellar phase. Europhys Lett 55:821–826
Zurück zum Zitat Dhont JKG (1999) A constitutive relation describing the shear-banding transition. Phys Rev E 60:4534–4544 Dhont JKG (1999) A constitutive relation describing the shear-banding transition. Phys Rev E 60:4534–4544
Zurück zum Zitat Dhont JKG, Briels WJ (2003a) Inhomogeneous suspensions of rigid rods in flow. J Chem Phys 118:1466–1478 Dhont JKG, Briels WJ (2003a) Inhomogeneous suspensions of rigid rods in flow. J Chem Phys 118:1466–1478
Zurück zum Zitat Dhont JKG, Briels WJ (2003b) Viscoelasticity of suspensions of long, rigid rods. Colloid Surf A Physicochem Eng Asp 213:131–156 Dhont JKG, Briels WJ (2003b) Viscoelasticity of suspensions of long, rigid rods. Colloid Surf A Physicochem Eng Asp 213:131–156
Zurück zum Zitat Dhont JKG et al (2003) Shear-banding and microstructure of colloids in shear flow. Faraday Discuss 123:157–172 Dhont JKG et al (2003) Shear-banding and microstructure of colloids in shear flow. Faraday Discuss 123:157–172
Zurück zum Zitat Diat O, Roux D, Nallet F (1993) Effect of shear on a lyotropic lamellar phase. J Phys II 3:1427–1452 (France) Diat O, Roux D, Nallet F (1993) Effect of shear on a lyotropic lamellar phase. J Phys II 3:1427–1452 (France)
Zurück zum Zitat Doi M (1981) Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases. J Poly Sci Poly Phys 19:229–243 Doi M (1981) Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases. J Poly Sci Poly Phys 19:229–243
Zurück zum Zitat Doi M, Edwards SF (1989) The theory of polymer dynamics. Clarendon, Oxford Doi M, Edwards SF (1989) The theory of polymer dynamics. Clarendon, Oxford
Zurück zum Zitat Edwards BJ, Beris AN, Grmela M, Larson RG (1990) Generalized constitutive equation for polymeric liquid-crystals. 2. Nonhomogeneous systems. J Non-Newton Fluid Mech 36:243–254 Edwards BJ, Beris AN, Grmela M, Larson RG (1990) Generalized constitutive equation for polymeric liquid-crystals. 2. Nonhomogeneous systems. J Non-Newton Fluid Mech 36:243–254
Zurück zum Zitat Edwards BJ, Beris AN, Grmela M (1991) The dynamic behavior of liquid-crystals—a continuum description through generalized brackets. Mol Cryst Liq Cryst 201:51–86 Edwards BJ, Beris AN, Grmela M (1991) The dynamic behavior of liquid-crystals—a continuum description through generalized brackets. Mol Cryst Liq Cryst 201:51–86
Zurück zum Zitat Eiser E, Molino F, Porte G, Diat O (2000a) Nonhomogeneous textures and banded flow in a soft cubic phase under shear. Phys Rev E 61:6759–6764 Eiser E, Molino F, Porte G, Diat O (2000a) Nonhomogeneous textures and banded flow in a soft cubic phase under shear. Phys Rev E 61:6759–6764
Zurück zum Zitat Eiser E, Molino F, Porte G, Pithon X (2000b) Flow in micellar cubic crystals. Rheol Acta 39:201–208 Eiser E, Molino F, Porte G, Pithon X (2000b) Flow in micellar cubic crystals. Rheol Acta 39:201–208
Zurück zum Zitat El-Kareh AW, Leal LG (1989) Existence of solutions for all Deborah numbers for a non-Newtonian model modified to include diffusion. J Non-Newton Fluid Mech 33:257–287 El-Kareh AW, Leal LG (1989) Existence of solutions for all Deborah numbers for a non-Newtonian model modified to include diffusion. J Non-Newton Fluid Mech 33:257–287
Zurück zum Zitat Escalante J, Macias E, Bautista F, Pérez-López J, Soltero J, Puig J, Manero O (2003) Shear-banded flow and transient rheology of cationic wormlike micellar solutions. Langmuir 19:6620–6626 Escalante J, Macias E, Bautista F, Pérez-López J, Soltero J, Puig J, Manero O (2003) Shear-banded flow and transient rheology of cationic wormlike micellar solutions. Langmuir 19:6620–6626
Zurück zum Zitat Fielding SM (2005) Linear instability of planar shear banded flow. Phys Rev Lett 95:134501 Fielding SM (2005) Linear instability of planar shear banded flow. Phys Rev Lett 95:134501
Zurück zum Zitat Fielding SM (2007) Complex dynamics of shear banded flows. Soft Matter 3:1262–1279 Fielding SM (2007) Complex dynamics of shear banded flows. Soft Matter 3:1262–1279
Zurück zum Zitat Fielding SM, Olmsted PD (2003a) Early stage kinetics in a unified model of shear-induced demixing and mechanical shear banding instabilities. Phys Rev Lett 90:224501 Fielding SM, Olmsted PD (2003a) Early stage kinetics in a unified model of shear-induced demixing and mechanical shear banding instabilities. Phys Rev Lett 90:224501
Zurück zum Zitat Fielding SM, Olmsted PD (2003b) Flow phase diagrams for concentration-coupled shear banding. Eur Phys J E 11:65–83 Fielding SM, Olmsted PD (2003b) Flow phase diagrams for concentration-coupled shear banding. Eur Phys J E 11:65–83
Zurück zum Zitat Fielding SM, Olmsted PD (2003c) Kinetics of the shear banding instability in startup flows. Phys Rev E 68:036313 Fielding SM, Olmsted PD (2003c) Kinetics of the shear banding instability in startup flows. Phys Rev E 68:036313
Zurück zum Zitat Fielding SM, Olmsted PD (2004) Spatiotemporal oscillations and rheochaos in a simple model of shear banding. Phys Rev Lett 92:084502 Fielding SM, Olmsted PD (2004) Spatiotemporal oscillations and rheochaos in a simple model of shear banding. Phys Rev Lett 92:084502
Zurück zum Zitat Fielding SM, Olmsted PD (2006) Nonlinear dynamics of an interface between shear bands. Phys Rev Lett 96:104502 Fielding SM, Olmsted PD (2006) Nonlinear dynamics of an interface between shear bands. Phys Rev Lett 96:104502
Zurück zum Zitat Fife PC, McLeod JB (1977) The approach of solutions of nonlinear diffusion equations to travelling front solutions. Arch Rat Mech Anal 65:335–361 Fife PC, McLeod JB (1977) The approach of solutions of nonlinear diffusion equations to travelling front solutions. Arch Rat Mech Anal 65:335–361
Zurück zum Zitat Fischer P, Wheeler EK, Fuller GG (2002) Shear-banding structure orientated in the vorticity direction observed for equimolar micellar solution. Rheol Acta 41:35–44 Fischer P, Wheeler EK, Fuller GG (2002) Shear-banding structure orientated in the vorticity direction observed for equimolar micellar solution. Rheol Acta 41:35–44
Zurück zum Zitat Forest MG, Zhou RH, Wang Q (2004) Chaotic boundaries of nematic polymers in mixed shear and extensional flows. Phys Rev Lett 93:088301 Forest MG, Zhou RH, Wang Q (2004) Chaotic boundaries of nematic polymers in mixed shear and extensional flows. Phys Rev Lett 93:088301
Zurück zum Zitat Fyrillas MM, Georgiou GC, Vlassopoulos D (1999) Time-dependent plane poiseuille flow of a Johnson-Segalman fluid. J Non-Newton Fluid Mech 82:105–123 Fyrillas MM, Georgiou GC, Vlassopoulos D (1999) Time-dependent plane poiseuille flow of a Johnson-Segalman fluid. J Non-Newton Fluid Mech 82:105–123
Zurück zum Zitat Gamez-Corrales R, Berret JF, Walker LM, Oberdisse J (1999) Shear-thickening dilute surfactant solutions: equilibrium structure as studied by small-angle neutron scattering. Langmuir 15:6755–6763 Gamez-Corrales R, Berret JF, Walker LM, Oberdisse J (1999) Shear-thickening dilute surfactant solutions: equilibrium structure as studied by small-angle neutron scattering. Langmuir 15:6755–6763
Zurück zum Zitat Ganapathy R, Sood AK (2006a) Intermittency route to rheochaos in wormlike micelles with flow-concentration coupling. Phys Rev Lett 96:108301 Ganapathy R, Sood AK (2006a) Intermittency route to rheochaos in wormlike micelles with flow-concentration coupling. Phys Rev Lett 96:108301
Zurück zum Zitat Ganapathy R, Sood AK (2006b) Tuning rheochaos by temperature in wormlike micelles. Langmuir 22:11016–11021 Ganapathy R, Sood AK (2006b) Tuning rheochaos by temperature in wormlike micelles. Langmuir 22:11016–11021
Zurück zum Zitat Ganapathy R, Rangarajan G, Sood AK (2007) Granger causality and cross recurrence plots in rheochaos. Phys Rev E 75:16211 Ganapathy R, Rangarajan G, Sood AK (2007) Granger causality and cross recurrence plots in rheochaos. Phys Rev E 75:16211
Zurück zum Zitat Georgiou GC, Vlassopoulos D (1998) On the stability of the simple shear flow of a Johnson–Segalman fluid. J Non-Newton Fluid Mech 75:77–97 Georgiou GC, Vlassopoulos D (1998) On the stability of the simple shear flow of a Johnson–Segalman fluid. J Non-Newton Fluid Mech 75:77–97
Zurück zum Zitat Goveas JL, Olmsted PD (2001) A minimal model for vorticity and gradient banding in complex fluids. Eur Phys J E6:79–89 Goveas JL, Olmsted PD (2001) A minimal model for vorticity and gradient banding in complex fluids. Eur Phys J E6:79–89
Zurück zum Zitat Goveas JL, Pine DJ (1999) A phenomenological model for shear-thickening in wormlike micelle solutions. Europhys Lett 48:706–706 Goveas JL, Pine DJ (1999) A phenomenological model for shear-thickening in wormlike micelle solutions. Europhys Lett 48:706–706
Zurück zum Zitat Grand C, Arrault J, Cates ME (1997) Slow transients and metastability in wormlike micelle rheology. J Phys II 7:1071–1086 (France) Grand C, Arrault J, Cates ME (1997) Slow transients and metastability in wormlike micelle rheology. J Phys II 7:1071–1086 (France)
Zurück zum Zitat Greco F, Ball RC (1997) Shear-band formation in a non-Newtonian fluid model with a constitutive instability. J Non-Newton Fluid Mech 69:195–206 Greco F, Ball RC (1997) Shear-band formation in a non-Newtonian fluid model with a constitutive instability. J Non-Newton Fluid Mech 69:195–206
Zurück zum Zitat Head DA, Ajdari A, and Cates ME (2002) Rheological instability in a simple shear-thickening model. Europhys Lett 57:120–126 Head DA, Ajdari A, and Cates ME (2002) Rheological instability in a simple shear-thickening model. Europhys Lett 57:120–126
Zurück zum Zitat Herle V, Fischer P, Pfister B, Kohlbrecher J, Windhab EJ (2005) Structural characterization of shear banded flow in shear thickening wormlike micellar system. Langmuir 21:9051 Herle V, Fischer P, Pfister B, Kohlbrecher J, Windhab EJ (2005) Structural characterization of shear banded flow in shear thickening wormlike micellar system. Langmuir 21:9051
Zurück zum Zitat Hess S (1975) Irreversible thermodynamics of nonequilibrium alignment phenomena in molecular liquids and in liquid crystals. Z Naturforsch 30a:728–733 Hess S (1975) Irreversible thermodynamics of nonequilibrium alignment phenomena in molecular liquids and in liquid crystals. Z Naturforsch 30a:728–733
Zurück zum Zitat Hess S (1976) Pre- and post-transitional behavior of the flow alignment and flow-induced phase transition in liquid crystals. Z Naturforsch 31a:1507 Hess S (1976) Pre- and post-transitional behavior of the flow alignment and flow-induced phase transition in liquid crystals. Z Naturforsch 31a:1507
Zurück zum Zitat Hilliou L, Vlassopoulos D (2002) Time-periodic structures and instabilities in shear-thickening polymer solutions. Ind Eng Chem Res 41:6246–6255 Hilliou L, Vlassopoulos D (2002) Time-periodic structures and instabilities in shear-thickening polymer solutions. Ind Eng Chem Res 41:6246–6255
Zurück zum Zitat Holmes WM, Lopez-Gonzalez MR, Callaghan PT (2003) Fluctuations in shear-banded flow seen by NMR velocimetry. Europhys Lett 64:274–280 Holmes WM, Lopez-Gonzalez MR, Callaghan PT (2003) Fluctuations in shear-banded flow seen by NMR velocimetry. Europhys Lett 64:274–280
Zurück zum Zitat Holmes WM, Callaghan PT, Vlassopoulos D, Roovers J (2004a) Shear banding phenomena in ultrasoft colloidal glasses. J Rheol 48:1085–1102 Holmes WM, Callaghan PT, Vlassopoulos D, Roovers J (2004a) Shear banding phenomena in ultrasoft colloidal glasses. J Rheol 48:1085–1102
Zurück zum Zitat Holmes WM, Lopez-Gonzalez MR, Callaghan PT (2004b) Shear-induced constraint to amphiphile chain dynamics in wormlike micelles (vol 66, pg 132, 2004). Europhys Lett 66:464–464 Holmes WM, Lopez-Gonzalez MR, Callaghan PT (2004b) Shear-induced constraint to amphiphile chain dynamics in wormlike micelles (vol 66, pg 132, 2004). Europhys Lett 66:464–464
Zurück zum Zitat Hu YT, Lips A (2005) Kinetics and mecahnism of shear banding in an entangled micellar solution. J Rheol 49:1001 Hu YT, Lips A (2005) Kinetics and mecahnism of shear banding in an entangled micellar solution. J Rheol 49:1001
Zurück zum Zitat Hu YT, Boltenhagen P, Matthys E, Pine DJ (1998a) Shear thickening in low-concentration solutions of wormlike micelles. II Slip, fracture, and stability of the shear–induced phase. J Rheol 42:1209–1226 Hu YT, Boltenhagen P, Matthys E, Pine DJ (1998a) Shear thickening in low-concentration solutions of wormlike micelles. II Slip, fracture, and stability of the shear–induced phase. J Rheol 42:1209–1226
Zurück zum Zitat Hu YT, Boltenhagen P, Pine DJ (1998b) Shear thickening in low-concentration solutions of wormlike micelles. I Direct visualization of transient behavior and phase transitions. J Rheol 42:1185–1208 Hu YT, Boltenhagen P, Pine DJ (1998b) Shear thickening in low-concentration solutions of wormlike micelles. I Direct visualization of transient behavior and phase transitions. J Rheol 42:1185–1208
Zurück zum Zitat Hu Y, Wilen L, Philips A, Lips A (2007) Is the constitutive relation for entangled polymers monotonic? J Rheol 51:275 Hu Y, Wilen L, Philips A, Lips A (2007) Is the constitutive relation for entangled polymers monotonic? J Rheol 51:275
Zurück zum Zitat Imaeda T, Furukawa A, Onuki A (2004) Viscoelastic phase separation in shear flow. Phys Rev E 70:051503 Imaeda T, Furukawa A, Onuki A (2004) Viscoelastic phase separation in shear flow. Phys Rev E 70:051503
Zurück zum Zitat Inn YW, Wissbrun KF, Denn MM (2005) Effect of edge fracture on constant torque rheometry of entangled polymer solutions. Macromolecules 38:9385–9388 Inn YW, Wissbrun KF, Denn MM (2005) Effect of edge fracture on constant torque rheometry of entangled polymer solutions. Macromolecules 38:9385–9388
Zurück zum Zitat Johnson M, Segalman D (1977) A model for viscoelastic fluid behavior which allows non-affine deformation. J Non-Newton Fluid Mech 2:255–270 Johnson M, Segalman D (1977) A model for viscoelastic fluid behavior which allows non-affine deformation. J Non-Newton Fluid Mech 2:255–270
Zurück zum Zitat Jou D, Casasvazquez J, Criadosancho M (1995) Thermodynamics of polymer-solutions under flow— phase-separation and polymer degradation. Adv Polym Sci 120:207–266 Jou D, Casasvazquez J, Criadosancho M (1995) Thermodynamics of polymer-solutions under flow— phase-separation and polymer degradation. Adv Polym Sci 120:207–266
Zurück zum Zitat Kang K, Lettinga MP, Dogic Z, Dhont JKG (2006) Vorticity banding in rodlike virus suspensions. Phys Rev E 74:26307 Kang K, Lettinga MP, Dogic Z, Dhont JKG (2006) Vorticity banding in rodlike virus suspensions. Phys Rev E 74:26307
Zurück zum Zitat Keller SL, Boltenhagen P, Pine DJ, Zasadzinski JA (1998) Direct observation of shear-induced structures in wormlike micellar solutions by freeze-fracture electron microscopy. Phys Rev Lett 80:2725–2728 Keller SL, Boltenhagen P, Pine DJ, Zasadzinski JA (1998) Direct observation of shear-induced structures in wormlike micellar solutions by freeze-fracture electron microscopy. Phys Rev Lett 80:2725–2728
Zurück zum Zitat Kishbaugh AJ, McHugh AJ (1993) A rheooptical study of shear-thickening and structure formation in polymer-solutions, 1. Exp Rheol Acta 32:9–24 Kishbaugh AJ, McHugh AJ (1993) A rheooptical study of shear-thickening and structure formation in polymer-solutions, 1. Exp Rheol Acta 32:9–24
Zurück zum Zitat Kramer L (1981) On the relative stability of states and first-order phase transitions in systems far from equilibrium. Z Phys B 41:357–363 Kramer L (1981) On the relative stability of states and first-order phase transitions in systems far from equilibrium. Z Phys B 41:357–363
Zurück zum Zitat Krug J, Lebowitz JL, Spohn H, Zhang MQ (1986) The fast rate limit of driven diffusive systems. J Stat Phys 44:535–565 Krug J, Lebowitz JL, Spohn H, Zhang MQ (1986) The fast rate limit of driven diffusive systems. J Stat Phys 44:535–565
Zurück zum Zitat Kuzuu N, Doi M (1983) Constitutive equation for nematic liquid crystals under weak velocity gradient derived from a molecular kinetic equation. J Phys Soc Jpn 52:3486–3494 Kuzuu N, Doi M (1983) Constitutive equation for nematic liquid crystals under weak velocity gradient derived from a molecular kinetic equation. J Phys Soc Jpn 52:3486–3494
Zurück zum Zitat Larson RG (1988) Constitutive equations for polymer melts and solutions. Butterworths, Boston Larson RG (1988) Constitutive equations for polymer melts and solutions. Butterworths, Boston
Zurück zum Zitat Larson RG (1992) Instabilities in viscoelastic flows. Rheol Acta 31:213–263 Larson RG (1992) Instabilities in viscoelastic flows. Rheol Acta 31:213–263
Zurück zum Zitat Le TD, Olsson U, Mortensen K, Zipfel J, Richtering W (2001) Nonionic amphiphilic bilayer structures under shear. Langmuir 17:999–1008 Le TD, Olsson U, Mortensen K, Zipfel J, Richtering W (2001) Nonionic amphiphilic bilayer structures under shear. Langmuir 17:999–1008
Zurück zum Zitat Lee JY, Magda J, Hu H, Larson R (2002) Cone angle effects, radial pressure profile, and second normal stress difference for shear-thickening wormlike micelles. J Rheol 46:195 Lee JY, Magda J, Hu H, Larson R (2002) Cone angle effects, radial pressure profile, and second normal stress difference for shear-thickening wormlike micelles. J Rheol 46:195
Zurück zum Zitat Leon A, Bonn D, Meunier J, Al-Kahwaji A, Greffier O, Kellay H (2000) Coupling between flow and structure for a lamellar surfactant phase. Phys Rev Lett 84:1335–1338 Leon A, Bonn D, Meunier J, Al-Kahwaji A, Greffier O, Kellay H (2000) Coupling between flow and structure for a lamellar surfactant phase. Phys Rev Lett 84:1335–1338
Zurück zum Zitat Lerouge S, Argentina M, Decruppe JP (2006) Interface instability in shear-banding flow. Phys Rev Lett 96:088301 Lerouge S, Argentina M, Decruppe JP (2006) Interface instability in shear-banding flow. Phys Rev Lett 96:088301
Zurück zum Zitat Lettinga MP, Dhont JKG (2004) Non-equilibrium phase behaviour of rod-like viruses under shear flow. J Phys Condens Matter 16:S3929–S3939 Lettinga MP, Dhont JKG (2004) Non-equilibrium phase behaviour of rod-like viruses under shear flow. J Phys Condens Matter 16:S3929–S3939
Zurück zum Zitat Likhtman AE, Graham RS (2003) Simple constitutive equation for linear polymer melts derived from molecular theory: Rolie–Poly equation. J Non-Newton Fluid Mech 114:1 Likhtman AE, Graham RS (2003) Simple constitutive equation for linear polymer melts derived from molecular theory: Rolie–Poly equation. J Non-Newton Fluid Mech 114:1
Zurück zum Zitat Liu AJ, Fredrickson GH (1993) Free energy functionals for semi-flexible polymer solutions and blends. Macromolecules 26:2817 Liu AJ, Fredrickson GH (1993) Free energy functionals for semi-flexible polymer solutions and blends. Macromolecules 26:2817
Zurück zum Zitat Lopez-Gonzalez MR, Holmes WM, Callaghan PT, Photinos PJ (2004) Shear banding fluctuations and nematic order in wormlike micelles. Phys Rev Lett 93:268302 Lopez-Gonzalez MR, Holmes WM, Callaghan PT, Photinos PJ (2004) Shear banding fluctuations and nematic order in wormlike micelles. Phys Rev Lett 93:268302
Zurück zum Zitat Lu C-YD, Olmsted PD, Ball RC (2000) The effect of non-local stress on the determination of shear banding flow. Phys Rev Lett 84:642–645 Lu C-YD, Olmsted PD, Ball RC (2000) The effect of non-local stress on the determination of shear banding flow. Phys Rev Lett 84:642–645
Zurück zum Zitat Magda JJ, Lee CS, Muller SJ, Larson RG (1993) Rheology, flow instabilities, and shear-induced diffusion in polystyrene solutions. Macromolecules 26:1696–1706 Magda JJ, Lee CS, Muller SJ, Larson RG (1993) Rheology, flow instabilities, and shear-induced diffusion in polystyrene solutions. Macromolecules 26:1696–1706
Zurück zum Zitat Malkus DS, Nohel JS, Plohr BJ (1990) Dynamics of shear flow of a non-Newtonian fluid. J Comp Phys 87:464–487 Malkus DS, Nohel JS, Plohr BJ (1990) Dynamics of shear flow of a non-Newtonian fluid. J Comp Phys 87:464–487
Zurück zum Zitat Malkus DS, Nohel JS, Plohr BJ (1991) Analysis of new phenomena in shear flow of non-Newtonian fluids. SIAM J Appl Math 51:899–929 Malkus DS, Nohel JS, Plohr BJ (1991) Analysis of new phenomena in shear flow of non-Newtonian fluids. SIAM J Appl Math 51:899–929
Zurück zum Zitat Manneville S, Becu L, Colin A (2004a) High-frequency ultrasonic speckle velocimetry in sheared complex fluids. Eur Phys J Appl Phys 28:361–373 Manneville S, Becu L, Colin A (2004a) High-frequency ultrasonic speckle velocimetry in sheared complex fluids. Eur Phys J Appl Phys 28:361–373
Zurück zum Zitat Manneville S, Salmon JB, Colin A (2004b) A spatio-temporal study of rheo-oscillations in a sheared lamellar phase using ultrasound. Eur Phys J E 13:197–212 Manneville S, Salmon JB, Colin A (2004b) A spatio-temporal study of rheo-oscillations in a sheared lamellar phase using ultrasound. Eur Phys J E 13:197–212
Zurück zum Zitat Manneville S, Colin A, Waton G, Schosseler F (2007) Wall slip, shear banding, and instability in the flow of a triblock copolymer micellar solution. Phys Rev E 75:061502 Manneville S, Colin A, Waton G, Schosseler F (2007) Wall slip, shear banding, and instability in the flow of a triblock copolymer micellar solution. Phys Rev E 75:061502
Zurück zum Zitat Marlow SW, Olmsted PD (2002) The effect of shear flow on the helfrich interaction in lyotropic lamellar systems. Eur Phys J E 8:485–497 Marlow SW, Olmsted PD (2002) The effect of shear flow on the helfrich interaction in lyotropic lamellar systems. Eur Phys J E 8:485–497
Zurück zum Zitat Marrucci G (1996) Dynamics of entanglements: a nonlinear model consistent with the Cox-Merz rule. J Non-Newton Fluid Mech 62:279–289 Marrucci G (1996) Dynamics of entanglements: a nonlinear model consistent with the Cox-Merz rule. J Non-Newton Fluid Mech 62:279–289
Zurück zum Zitat Mather PT, Romo-Uribe A, Han CD, Kim SS (1997) Rheo-optical evidence of a flow-induced isotropic-nematic transition in a thermotropic liquid-crystalline polymer. Macromolecules 30:7977–7989 Mather PT, Romo-Uribe A, Han CD, Kim SS (1997) Rheo-optical evidence of a flow-induced isotropic-nematic transition in a thermotropic liquid-crystalline polymer. Macromolecules 30:7977–7989
Zurück zum Zitat McLeish TCB (1987) Stability of the interface between 2 dynamic phases in capillary-flow of linear polymer melts. J Poly Sci B Poly Phys 25:2253–2264 McLeish TCB (1987) Stability of the interface between 2 dynamic phases in capillary-flow of linear polymer melts. J Poly Sci B Poly Phys 25:2253–2264
Zurück zum Zitat McLeish T (ed) (1997) In: Proceedings of the NATO advanced study institute on theoretical challenges in the dynamics of complex fluids, Cambridge, UK, vol 339 of E: applied sciences. Kluwer, Dordrecht McLeish T (ed) (1997) In: Proceedings of the NATO advanced study institute on theoretical challenges in the dynamics of complex fluids, Cambridge, UK, vol 339 of E: applied sciences. Kluwer, Dordrecht
Zurück zum Zitat McLeish TCB, Ball RC (1986) A molecular approach to the spurt effect in polymer melt flow. J Poly Sci B Poly Phys 24:1735–1745 McLeish TCB, Ball RC (1986) A molecular approach to the spurt effect in polymer melt flow. J Poly Sci B Poly Phys 24:1735–1745
Zurück zum Zitat Michel E, Appell J, Molino F, Kieffer J, Porte G (2001) Unstable flow and nonmonotonic flow curves of transient networks. J Rheol 45:1465–1477 Michel E, Appell J, Molino F, Kieffer J, Porte G (2001) Unstable flow and nonmonotonic flow curves of transient networks. J Rheol 45:1465–1477
Zurück zum Zitat Milner ST (1993) Dynamical theory of concentration fluctuations in polymer-solutions under shear. Phys Rev E 48:3674–3691 Milner ST (1993) Dynamical theory of concentration fluctuations in polymer-solutions under shear. Phys Rev E 48:3674–3691
Zurück zum Zitat Milner ST, McLeish TCB, Likhtman AE (2001) Microscopic theory of convective constraint release. J Rheol 45:539–563 Milner ST, McLeish TCB, Likhtman AE (2001) Microscopic theory of convective constraint release. J Rheol 45:539–563
Zurück zum Zitat Olmsted PD (1999) Two-state phase diagrams for complex fluids in shear flow. Europhys Lett 48:339–345 Olmsted PD (1999) Two-state phase diagrams for complex fluids in shear flow. Europhys Lett 48:339–345
Zurück zum Zitat Olmsted PD, Goldbart PM (1990) Theory of the non-equilibrium phase transition for nematic liquid crystals under shear flow. Phys Rev A41:4578–4581 Olmsted PD, Goldbart PM (1990) Theory of the non-equilibrium phase transition for nematic liquid crystals under shear flow. Phys Rev A41:4578–4581
Zurück zum Zitat Olmsted PD, Goldbart PM (1992) Isotropic-nematic transition in shear flow: state selection, coexistence, phase transitions, and critical behavior. Phys Rev A46:4966–4993 Olmsted PD, Goldbart PM (1992) Isotropic-nematic transition in shear flow: state selection, coexistence, phase transitions, and critical behavior. Phys Rev A46:4966–4993
Zurück zum Zitat Olmsted PD, Lu C-YD (1997) Coexistence and phase separation in sheared complex fluids. Phys Rev E56:55–58 Olmsted PD, Lu C-YD (1997) Coexistence and phase separation in sheared complex fluids. Phys Rev E56:55–58
Zurück zum Zitat Olmsted PD, Lu C-YD (1999a) Phase separation of rigid rod suspensions in shear flow. Phys Rev E60:4397–4415 Olmsted PD, Lu C-YD (1999a) Phase separation of rigid rod suspensions in shear flow. Phys Rev E60:4397–4415
Zurück zum Zitat Olmsted PD, Lu C-YD (1999b) Phase coexistence of complex fluids in shear flow. Faraday Discuss 112:183–194 Olmsted PD, Lu C-YD (1999b) Phase coexistence of complex fluids in shear flow. Faraday Discuss 112:183–194
Zurück zum Zitat Olmsted PD, Radulescu O, Lu C-YD (2000) The Johnson–Segalman model with a diffusion term in cylindrical Couette flow. J Rheol 44:257–275 Olmsted PD, Radulescu O, Lu C-YD (2000) The Johnson–Segalman model with a diffusion term in cylindrical Couette flow. J Rheol 44:257–275
Zurück zum Zitat Panizza P, Colin A, Coulon C, Roux D (1998) A dynamic study of onion phases under shear flow: size changes. Eur Phys J B 4:65–74 Panizza P, Colin A, Coulon C, Roux D (1998) A dynamic study of onion phases under shear flow: size changes. Eur Phys J B 4:65–74
Zurück zum Zitat Pearson JRA (1994) Flow curves with a maximum. J Rheol 38:309–331 Pearson JRA (1994) Flow curves with a maximum. J Rheol 38:309–331
Zurück zum Zitat Porte G, Berret JF, Harden JL (1997) Inhomogeneous flows of complex fluids: mechanical instability versus non-equilibrium phase transition. J Phys II 7:459–472 (France) Porte G, Berret JF, Harden JL (1997) Inhomogeneous flows of complex fluids: mechanical instability versus non-equilibrium phase transition. J Phys II 7:459–472 (France)
Zurück zum Zitat Pujolle-Robic C, Noirez L (2001) Observation of shear-induced nematic–isotropic transition in side-chain liquid crystal polymers. Nature 409:167–171 Pujolle-Robic C, Noirez L (2001) Observation of shear-induced nematic–isotropic transition in side-chain liquid crystal polymers. Nature 409:167–171
Zurück zum Zitat Pimenta P, Pashkovski E (2006) Rheology of viscoelastic mixed surfactant solutions: effect of scission on nonlinear flow and rheochaos. Langmuir 22:3980–3987 Pimenta P, Pashkovski E (2006) Rheology of viscoelastic mixed surfactant solutions: effect of scission on nonlinear flow and rheochaos. Langmuir 22:3980–3987
Zurück zum Zitat Radulescu O, Olmsted PD (2000) Matched asymptotic solutions for the steady banded flow of the diffusive Johnson-Segalman model in various geometries. J Non-Newton Fluid Mech 91:141–162 Radulescu O, Olmsted PD (2000) Matched asymptotic solutions for the steady banded flow of the diffusive Johnson-Segalman model in various geometries. J Non-Newton Fluid Mech 91:141–162
Zurück zum Zitat Radulescu O, Olmsted PD, Lu C-YD (1999) Shear-banding in reaction-diffusion models. Rheol Acta 38:606–613 Radulescu O, Olmsted PD, Lu C-YD (1999) Shear-banding in reaction-diffusion models. Rheol Acta 38:606–613
Zurück zum Zitat Radulescu O, Olmsted PD, Decruppe JP, Lerouge S, Berret JF, Porte G (2003) Time scales in shear banding of wormlike micelles. Europhys Lett 62:230–236 Radulescu O, Olmsted PD, Decruppe JP, Lerouge S, Berret JF, Porte G (2003) Time scales in shear banding of wormlike micelles. Europhys Lett 62:230–236
Zurück zum Zitat Raynaud JS, Moucheront P, Baudez JC, Bertrand F, Guilbaud JP, Coussot P (2002) Direct determination by nuclear magnetic resonance of the thixotropic and yielding behavior of suspensions. J Rheol 46:709–732 Raynaud JS, Moucheront P, Baudez JC, Bertrand F, Guilbaud JP, Coussot P (2002) Direct determination by nuclear magnetic resonance of the thixotropic and yielding behavior of suspensions. J Rheol 46:709–732
Zurück zum Zitat Rehage H, Hoffmann H (1991) Viscoelastic surfactant solutions—model systems for rheological research. Mol Phys 74:933–973 Rehage H, Hoffmann H (1991) Viscoelastic surfactant solutions—model systems for rheological research. Mol Phys 74:933–973
Zurück zum Zitat Rienacker G, Kroger M, Hess S (2002a) Chaotic orientational behavior of a nematic liquid crystal subjected to a steady shear flow. Phys Rev E 66:040702 Rienacker G, Kroger M, Hess S (2002a) Chaotic orientational behavior of a nematic liquid crystal subjected to a steady shear flow. Phys Rev E 66:040702
Zurück zum Zitat Rienacker G, Kroger A, Hess S (2002b) Chaotic and regular shear-induced orientational dynamics of nematic liquid crystals. Physica A 315:537–568 Rienacker G, Kroger A, Hess S (2002b) Chaotic and regular shear-induced orientational dynamics of nematic liquid crystals. Physica A 315:537–568
Zurück zum Zitat Rossi LF, McKinley G, Cook LP (2006) Slippage and migra tion in Taylor–Couette flow of a model for dilute wormlike micellar solutions. J Non-Newton Fluid Mech 136:79 Rossi LF, McKinley G, Cook LP (2006) Slippage and migra tion in Taylor–Couette flow of a model for dilute wormlike micellar solutions. J Non-Newton Fluid Mech 136:79
Zurück zum Zitat Roux D, Nallet F, Diat O (1993) Rheology of lyotropic lamellar phases. Europhys Lett 24:53–58 Roux D, Nallet F, Diat O (1993) Rheology of lyotropic lamellar phases. Europhys Lett 24:53–58
Zurück zum Zitat Roux DC, Berret JF, Porte G, Peuvreldisdier E, Lindner P (1995) Shear-induced orientations and textures of nematic wormlike micelles. Macromolecules 28:1681–1687 Roux DC, Berret JF, Porte G, Peuvreldisdier E, Lindner P (1995) Shear-induced orientations and textures of nematic wormlike micelles. Macromolecules 28:1681–1687
Zurück zum Zitat Salmon JB, Colin A, Roux D (2002) Dynamical behavior of a complex fluid near an out-ofequilibrium transition: approaching simple rheological chaos. Phys Rev E 66:031505 Salmon JB, Colin A, Roux D (2002) Dynamical behavior of a complex fluid near an out-ofequilibrium transition: approaching simple rheological chaos. Phys Rev E 66:031505
Zurück zum Zitat Salmon JB, Becu L, Manneville S, Colin A (2003a) Towards local rheology of emulsions under Couette flow using dynamic light scattering. Eur Phys J E 10:209–221 Salmon JB, Becu L, Manneville S, Colin A (2003a) Towards local rheology of emulsions under Couette flow using dynamic light scattering. Eur Phys J E 10:209–221
Zurück zum Zitat Salmon JB, Colin A, Manneville S, Molino F (2003b) Velocity profiles in shear-banding wormlike micelles. Phys Rev Lett 90:228303 Salmon JB, Colin A, Manneville S, Molino F (2003b) Velocity profiles in shear-banding wormlike micelles. Phys Rev Lett 90:228303
Zurück zum Zitat Schmitt V, Lequeux F, Pousse A, Roux D (1994) Flow behavior and shear-induced transition near an isotropic-nematic transition in equilibrium polymers. Langmuir 10:955–961 Schmitt V, Lequeux F, Pousse A, Roux D (1994) Flow behavior and shear-induced transition near an isotropic-nematic transition in equilibrium polymers. Langmuir 10:955–961
Zurück zum Zitat Schmitt V, Marques CM, Lequeux F (1995) Shear-induced phase-separation of complex fluids—the role of flow-concentration coupling. Phys Rev E 52:4009–4015 Schmitt V, Marques CM, Lequeux F (1995) Shear-induced phase-separation of complex fluids—the role of flow-concentration coupling. Phys Rev E 52:4009–4015
Zurück zum Zitat Schweizer T (2007) Shear banding during nonlinear creep with a solution of monodisperse polystyrene. Rheol Acta 46:629–637 Schweizer T (2007) Shear banding during nonlinear creep with a solution of monodisperse polystyrene. Rheol Acta 46:629–637
Zurück zum Zitat See H, Doi M, Larson R (1990) The effect of steady flow-fields on the isotropic-nematic phase transition of rigid rod-like polymers. J Chem Phys 92:792–800 See H, Doi M, Larson R (1990) The effect of steady flow-fields on the isotropic-nematic phase transition of rigid rod-like polymers. J Chem Phys 92:792–800
Zurück zum Zitat Sood AK, Bandyopadhyay R, Basappa G (1999) Linear and nonlinear rheology of wormlike micelles. Pramana J Phys 53:223–235 Sood AK, Bandyopadhyay R, Basappa G (1999) Linear and nonlinear rheology of wormlike micelles. Pramana J Phys 53:223–235
Zurück zum Zitat Spenley NA, Cates ME, McLeish TCB (1993) Nonlinear rheology of wormlike micelles. Phys Rev Lett 71:939–942 Spenley NA, Cates ME, McLeish TCB (1993) Nonlinear rheology of wormlike micelles. Phys Rev Lett 71:939–942
Zurück zum Zitat Spenley NA, Yuan XF, Cates ME (1996) Nonmonotonic constitutive laws and the formation of shear-banded flows. J Phys II 6:551–571 (France) Spenley NA, Yuan XF, Cates ME (1996) Nonmonotonic constitutive laws and the formation of shear-banded flows. J Phys II 6:551–571 (France)
Zurück zum Zitat Stark E, Lubensky TC (2003) Poisson-bracket approach to the dynamics of nematic liquid crystals. Phys Rev E 67:61709 Stark E, Lubensky TC (2003) Poisson-bracket approach to the dynamics of nematic liquid crystals. Phys Rev E 67:61709
Zurück zum Zitat Sui C, McKenna GB (2007) Instability of entangled polymers in cone and plate rheometry. Rheol Acta 46:877–888 Sui C, McKenna GB (2007) Instability of entangled polymers in cone and plate rheometry. Rheol Acta 46:877–888
Zurück zum Zitat Tapadia P, Wang SQ (2006) Direct visualization of continuous simple shear in non-Newtonian polymeric fluids. Phys Rev Lett 96:016001 Tapadia P, Wang SQ (2006) Direct visualization of continuous simple shear in non-Newtonian polymeric fluids. Phys Rev Lett 96:016001
Zurück zum Zitat Tapadia P, Ravindranath S, Wang SQ (2006) Banding in entangled polymer fluids under oscillatory shearing. Phys Rev Lett 96:196001 Tapadia P, Ravindranath S, Wang SQ (2006) Banding in entangled polymer fluids under oscillatory shearing. Phys Rev Lett 96:196001
Zurück zum Zitat van Egmond JW (1998) Shear-thickening in suspensions, associating polymers, worm-like micelles, and poor polymer solutions. Curr Opin Colloid Interface Sci 3:385–390CrossRef van Egmond JW (1998) Shear-thickening in suspensions, associating polymers, worm-like micelles, and poor polymer solutions. Curr Opin Colloid Interface Sci 3:385–390CrossRef
Zurück zum Zitat Vlassopoulos D, Hatzikiriakos SG (1995) A generalized Giesekus constitutive model with retardation time and its association to the spurt effect. J Non-Newton Fluid Mech 57:119–136 Vlassopoulos D, Hatzikiriakos SG (1995) A generalized Giesekus constitutive model with retardation time and its association to the spurt effect. J Non-Newton Fluid Mech 57:119–136
Zurück zum Zitat Wang SQ, Drda PA, Inn YW (1996) Exploring molecular origins of sharkskin, partial slip, and slope change in flow curves of linear low density polyethylene. J Rheol 40:875–898 Wang SQ, Drda PA, Inn YW (1996) Exploring molecular origins of sharkskin, partial slip, and slope change in flow curves of linear low density polyethylene. J Rheol 40:875–898
Zurück zum Zitat Wang SQ, Ravindranath S, Boukany P, Olechnowicz M, Quirk RP, Halasa A, Mays J (2006) Nonquiescent relaxation in entangled polymer liquids after step shear. Phys Rev Lett 97:187801 Wang SQ, Ravindranath S, Boukany P, Olechnowicz M, Quirk RP, Halasa A, Mays J (2006) Nonquiescent relaxation in entangled polymer liquids after step shear. Phys Rev Lett 97:187801
Zurück zum Zitat Wheeler EK, Fischer P, Fuller GG (1998) Time-periodic flow induced structures and instabilities in a viscoelastic surfactant solution. J Non-Newton Fluid Mech 75:193–208 Wheeler EK, Fischer P, Fuller GG (1998) Time-periodic flow induced structures and instabilities in a viscoelastic surfactant solution. J Non-Newton Fluid Mech 75:193–208
Zurück zum Zitat Wilkins G, Olmsted P (2006) Vorticity banding during the lamellar-to-onion transition in a lyotropic surfactant solution in shear flow. Eur Phys J E 21:133–143 Wilkins G, Olmsted P (2006) Vorticity banding during the lamellar-to-onion transition in a lyotropic surfactant solution in shear flow. Eur Phys J E 21:133–143
Zurück zum Zitat Wilson HJ, Fielding SM (2006) Linear instability of planar shear banded flow of both diffusive and non-diffusive Johnson-Segalman fluids. J Non-Newton Fluid Mech 138:181–196 Wilson HJ, Fielding SM (2006) Linear instability of planar shear banded flow of both diffusive and non-diffusive Johnson-Segalman fluids. J Non-Newton Fluid Mech 138:181–196
Zurück zum Zitat Wunenburger AS, Colin A, Colin T, Roux D (2000) Undulation instability under shear: a model to explain the different orientations of a lamellar phase under shear? Eur Phys J E 2:277–283 Wunenburger AS, Colin A, Colin T, Roux D (2000) Undulation instability under shear: a model to explain the different orientations of a lamellar phase under shear? Eur Phys J E 2:277–283
Zurück zum Zitat Wunenburger AS, Colin A, Leng J, Arneodo A, Roux D (2001) Oscillating viscosity in a lyotropic lamellar phase under shear flow. Phys Rev Lett 86:1374–1377 Wunenburger AS, Colin A, Leng J, Arneodo A, Roux D (2001) Oscillating viscosity in a lyotropic lamellar phase under shear flow. Phys Rev Lett 86:1374–1377
Zurück zum Zitat Yerushalmi J, Katz S, Shinnar R (1970) The stability of steady shear flows of some viscoelastic fluids. Chem Eng Sci 25:1891–1902 Yerushalmi J, Katz S, Shinnar R (1970) The stability of steady shear flows of some viscoelastic fluids. Chem Eng Sci 25:1891–1902
Zurück zum Zitat Yuan XF (1999) Dynamics of a mechanical interface in shear-banded flow. Europhys Lett 46:542–548 Yuan XF (1999) Dynamics of a mechanical interface in shear-banded flow. Europhys Lett 46:542–548
Zurück zum Zitat Yuan XF, Jupp L (2002) Interplay of flow-induced phase separations and rheological behavior of complex fluids in shearbanding flow. Europhys Lett 60:691–697 Yuan XF, Jupp L (2002) Interplay of flow-induced phase separations and rheological behavior of complex fluids in shearbanding flow. Europhys Lett 60:691–697
Zurück zum Zitat Zilman AG, Granek R (1999) Undulation instability for lamellar phases under shear: a mechanism for onion formation? Eur Phys J B 11:593–608 Zilman AG, Granek R (1999) Undulation instability for lamellar phases under shear: a mechanism for onion formation? Eur Phys J B 11:593–608
Zurück zum Zitat Zipfel J, Nettesheim F, Lindner P, Le TD, Olsson U, Richtering W (2001) Cylindrical intermediates in a shear-induced lamellar-tovesicle transition. Europhys Lett 53:335–341 Zipfel J, Nettesheim F, Lindner P, Le TD, Olsson U, Richtering W (2001) Cylindrical intermediates in a shear-induced lamellar-tovesicle transition. Europhys Lett 53:335–341
Metadaten
Titel
Perspectives on shear banding in complex fluids
verfasst von
Peter D. Olmsted
Publikationsdatum
01.04.2008
Verlag
Springer-Verlag
Erschienen in
Rheologica Acta / Ausgabe 3/2008
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-008-0260-9

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