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Erschienen in: Rheologica Acta 8/2008

01.11.2008 | Original Contribution

Effect of a controlled pre-deformation history on extensional viscosity of dilute polymer solutions

verfasst von: Shelley L. Anna, Gareth H. McKinley

Erschienen in: Rheologica Acta | Ausgabe 8/2008

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Abstract

We use a modified filament stretching rheometer to quantify the influence of a known controlled pre-shear history on the transient extensional viscosity of a dilute polymer solution. Two different types of pre-deformation are explored; both influence the subsequent stretching significantly, albeit in opposite ways. Small-amplitude oscillatory straining parallel to the direction of stretching enhances strain hardening and accelerates the tensile stress growth toward the steady-state value. Conversely, steady torsional shearing orthogonal to the direction of stretching retards strain hardening and results in a delayed approach to steady-state elongational flow. In both cases, the final steady-state extensional viscosity is the same as that observed with no pre-shearing. Calculations using a finitely extensible nonlinear elastic Peterlin dumbbell model qualitatively capture the trends observed in experiments, enabling interpretation of these observations in terms of the degree of polymer chain stretching imposed by the flow before extensional stretching.

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Literatur
Zurück zum Zitat Agarwal US (2000) Effect of initial conformation, flow strength, and hydrodynamic interaction on polymer molecules in extensional flows. J Chem Phys 113:3397–3403CrossRef Agarwal US (2000) Effect of initial conformation, flow strength, and hydrodynamic interaction on polymer molecules in extensional flows. J Chem Phys 113:3397–3403CrossRef
Zurück zum Zitat Anna SL, Rogers C, McKinley GH (1999) On controlling the kinematics of a filament stretching rheometer using a real-time active control mechanism. J Non-Newtonian Fluid Mech 87:307–335CrossRef Anna SL, Rogers C, McKinley GH (1999) On controlling the kinematics of a filament stretching rheometer using a real-time active control mechanism. J Non-Newtonian Fluid Mech 87:307–335CrossRef
Zurück zum Zitat Anna SL, McKinley GH, Nguyen DA, Sridhar T, Muller SJ, Huang J, James DF (2001) An interlaboratory comparison of measurements from filament-stretching rheometers using common test fluids. J Rheol 45:83–114CrossRef Anna SL, McKinley GH, Nguyen DA, Sridhar T, Muller SJ, Huang J, James DF (2001) An interlaboratory comparison of measurements from filament-stretching rheometers using common test fluids. J Rheol 45:83–114CrossRef
Zurück zum Zitat Avagliano A, Phan-Thien N (1996) Torsional flow: elastic instability in a finite domain. J Fluid Mech 312:279–298CrossRef Avagliano A, Phan-Thien N (1996) Torsional flow: elastic instability in a finite domain. J Fluid Mech 312:279–298CrossRef
Zurück zum Zitat Avagliano A, Phan-Thien N (1999) Torsional flow stability of highly dilute polymer solutions. J Non-Newtonian Fluid Mech 84:19–44CrossRef Avagliano A, Phan-Thien N (1999) Torsional flow stability of highly dilute polymer solutions. J Non-Newtonian Fluid Mech 84:19–44CrossRef
Zurück zum Zitat Babcock HP, Teixeira RE, Hur JS, Shaqfeh ESG, Chu S (2003) Visualization of molecular fluctuations near the critical point of the coil–stretch transition in polymer elongation. Macromolecules 36:4544–4548CrossRef Babcock HP, Teixeira RE, Hur JS, Shaqfeh ESG, Chu S (2003) Visualization of molecular fluctuations near the critical point of the coil–stretch transition in polymer elongation. Macromolecules 36:4544–4548CrossRef
Zurück zum Zitat Bach A, Almdal K, Rasmussen HK, Hassager O (2003a) Elongational viscosity of narrow molar mass distribution polystyrene. Macromolecules 36:5174–5179CrossRef Bach A, Almdal K, Rasmussen HK, Hassager O (2003a) Elongational viscosity of narrow molar mass distribution polystyrene. Macromolecules 36:5174–5179CrossRef
Zurück zum Zitat Bach A, Rasmussen HK, Hassager O (2003b) Extensional viscosity for polymer melts measured in the filament stretching rheometer. J Rheol 47:429–441CrossRef Bach A, Rasmussen HK, Hassager O (2003b) Extensional viscosity for polymer melts measured in the filament stretching rheometer. J Rheol 47:429–441CrossRef
Zurück zum Zitat Bechtel SE, Youssef NT, Forest MG, Zhou H, Koelling KW (2001) Non-Newtonian viscous oscillating free surface jets, and a new strain-rate dependent viscosity form for flows experiencing low strain rates. Rheol Acta 40:373–383CrossRef Bechtel SE, Youssef NT, Forest MG, Zhou H, Koelling KW (2001) Non-Newtonian viscous oscillating free surface jets, and a new strain-rate dependent viscosity form for flows experiencing low strain rates. Rheol Acta 40:373–383CrossRef
Zurück zum Zitat Beck VA, Shaqfeh ESG (2006) Ergodicity breaking and conformational hysteresis in the dynamics of a polymer tethered at a surface stagnation point. J Chem Phys 124:16CrossRef Beck VA, Shaqfeh ESG (2006) Ergodicity breaking and conformational hysteresis in the dynamics of a polymer tethered at a surface stagnation point. J Chem Phys 124:16CrossRef
Zurück zum Zitat Bhardwaj A, Richter D, Rothstein JP (2007) The effect of pre-shear on the extensional rheology of wormlike micelle solutions. Rheol Acta 46:861–875CrossRef Bhardwaj A, Richter D, Rothstein JP (2007) The effect of pre-shear on the extensional rheology of wormlike micelle solutions. Rheol Acta 46:861–875CrossRef
Zurück zum Zitat Bhattercharjee PK, Oberhauser JP, McKinley GH, Leal LG, Sridhar T (2002) Extensional rheometry of entangled solutions. Macromolecules 35:10131–10148CrossRef Bhattercharjee PK, Oberhauser JP, McKinley GH, Leal LG, Sridhar T (2002) Extensional rheometry of entangled solutions. Macromolecules 35:10131–10148CrossRef
Zurück zum Zitat Bhattacharjee PK, Nguyen DA, McKinley GH, Sridhar T (2003) Extensional stress growth and stress relaxation in entangled polymer solutions. J Rheol 47:269–290CrossRef Bhattacharjee PK, Nguyen DA, McKinley GH, Sridhar T (2003) Extensional stress growth and stress relaxation in entangled polymer solutions. J Rheol 47:269–290CrossRef
Zurück zum Zitat Binding DM (1993) Contraction flows and new theories for estimating extensional viscosity. In: Collyer AA (ed) Techniques in rheological measurement. Chapman & Hall, London, pp 1–32 Binding DM (1993) Contraction flows and new theories for estimating extensional viscosity. In: Collyer AA (ed) Techniques in rheological measurement. Chapman & Hall, London, pp 1–32
Zurück zum Zitat Bird RB, Armstrong RC, Hassager O (1987a) Dynamics of polymeric liquids, vol 1: fluid mechanics. Wiley, New York Bird RB, Armstrong RC, Hassager O (1987a) Dynamics of polymeric liquids, vol 1: fluid mechanics. Wiley, New York
Zurück zum Zitat Bird RB, Curtiss CF, Armstrong RC, Hassager O (1987b) Dynamics of polymeric liquids, vol 2: kinetic theory. Wiley Interscience, New York Bird RB, Curtiss CF, Armstrong RC, Hassager O (1987b) Dynamics of polymeric liquids, vol 2: kinetic theory. Wiley Interscience, New York
Zurück zum Zitat Boger DV (1977/1978) A highly elastic constant-viscosity fluid. J Non-Newtonian Fluid Mech 3:87–91CrossRef Boger DV (1977/1978) A highly elastic constant-viscosity fluid. J Non-Newtonian Fluid Mech 3:87–91CrossRef
Zurück zum Zitat Brandrup J, Immergut EH, Grulke EA (eds) (1999) In: Polymer handbook. Wiley, New York Brandrup J, Immergut EH, Grulke EA (eds) (1999) In: Polymer handbook. Wiley, New York
Zurück zum Zitat Byars JA, Öztekin A, Brown RA, McKinley GH (1994) Spiral instabilities in the flow of highly elastic fluids between rotating parallel disks. J Fluid Mech 271:173–218CrossRef Byars JA, Öztekin A, Brown RA, McKinley GH (1994) Spiral instabilities in the flow of highly elastic fluids between rotating parallel disks. J Fluid Mech 271:173–218CrossRef
Zurück zum Zitat Calado VMA, White JM, Muller SJ (2005) Transient behavior of Boger fluids under extended shear flow in a cone-and-plate rheometer. Rheol Acta 44:250–261CrossRef Calado VMA, White JM, Muller SJ (2005) Transient behavior of Boger fluids under extended shear flow in a cone-and-plate rheometer. Rheol Acta 44:250–261CrossRef
Zurück zum Zitat Dimitropoulos CD, Dubief Y, Shaqfeh ESG, Moin P, Lele SK (2005) Direct numerical simulation of polymer-induced drag reduction in turbulent boundary layer flow. Phys Fluids 17:011705.1–011705.4CrossRef Dimitropoulos CD, Dubief Y, Shaqfeh ESG, Moin P, Lele SK (2005) Direct numerical simulation of polymer-induced drag reduction in turbulent boundary layer flow. Phys Fluids 17:011705.1–011705.4CrossRef
Zurück zum Zitat Donohue GL, Tiederman WG, Reischman MM (1972) Flow visualization of the near-wall region in a drag-reducing channel flow. J Fluid Mech 56:559–575CrossRef Donohue GL, Tiederman WG, Reischman MM (1972) Flow visualization of the near-wall region in a drag-reducing channel flow. J Fluid Mech 56:559–575CrossRef
Zurück zum Zitat Doyle PS, Shaqfeh ESG, McKinley GH, Spiegelberg SH (1998) Relaxation of dilute polymer solutions following extensional flow. J Non-Newtonian Fluid Mech 76:79–110CrossRef Doyle PS, Shaqfeh ESG, McKinley GH, Spiegelberg SH (1998) Relaxation of dilute polymer solutions following extensional flow. J Non-Newtonian Fluid Mech 76:79–110CrossRef
Zurück zum Zitat Dubief Y, White CM, Terrapon VE, Shaqfeh ESG, Moin P, Lele SK (2004) On the coherent drag-reducing and turbulence-enhancing behaviour of polymers in wall flows. J Fluid Mech 514:271–280CrossRef Dubief Y, White CM, Terrapon VE, Shaqfeh ESG, Moin P, Lele SK (2004) On the coherent drag-reducing and turbulence-enhancing behaviour of polymers in wall flows. J Fluid Mech 514:271–280CrossRef
Zurück zum Zitat Eggers J (1993) Universal pinching of 3d axisymmetrical free-surface flow. Phys Rev Lett 71:3458–3460CrossRef Eggers J (1993) Universal pinching of 3d axisymmetrical free-surface flow. Phys Rev Lett 71:3458–3460CrossRef
Zurück zum Zitat Eggers J, Dupont TF (1994) Drop formation in a one-dimensional approximation of the Navier–Stokes equation. J Fluid Mech 262:205–221CrossRef Eggers J, Dupont TF (1994) Drop formation in a one-dimensional approximation of the Navier–Stokes equation. J Fluid Mech 262:205–221CrossRef
Zurück zum Zitat Evans AR, Shaqfeh ESG, Frattini PL (1994) Observations of polymer conformation during flow through a fixed fibre bed. J. Fluid Mech 281:319–356CrossRef Evans AR, Shaqfeh ESG, Frattini PL (1994) Observations of polymer conformation during flow through a fixed fibre bed. J. Fluid Mech 281:319–356CrossRef
Zurück zum Zitat Ferguson J, Hudson NE, Forsyth JF (1998) Transient extensional rheology and the influence of strain history. J Non-Newtonian Fluid Mech 79:213–223CrossRef Ferguson J, Hudson NE, Forsyth JF (1998) Transient extensional rheology and the influence of strain history. J Non-Newtonian Fluid Mech 79:213–223CrossRef
Zurück zum Zitat Field JS, Swain MV, Phan-Thien N (1996) An experimental investigation of the use of random squeezing to determine the complex modulus of viscoelastic fluids. J Non-Newtonian Fluid Mech 65:177–194CrossRef Field JS, Swain MV, Phan-Thien N (1996) An experimental investigation of the use of random squeezing to determine the complex modulus of viscoelastic fluids. J Non-Newtonian Fluid Mech 65:177–194CrossRef
Zurück zum Zitat Flory PJ (1953) Principles of polymer chemistry. Cornell University Press, Ithaca Flory PJ (1953) Principles of polymer chemistry. Cornell University Press, Ithaca
Zurück zum Zitat Fuller GG, Leal LG (1980) Flow birefringence of dilute polymer-solutions in two-dimensional flows. Rheol Acta 19:580–600CrossRef Fuller GG, Leal LG (1980) Flow birefringence of dilute polymer-solutions in two-dimensional flows. Rheol Acta 19:580–600CrossRef
Zurück zum Zitat Ghosh I, McKinley GH, Brown RA, Armstrong RC (2001) Deficiencies of FENE dumbbell models in describing the rapid stretching of dilute polymer solutions. J Rheol 45:721–758CrossRef Ghosh I, McKinley GH, Brown RA, Armstrong RC (2001) Deficiencies of FENE dumbbell models in describing the rapid stretching of dilute polymer solutions. J Rheol 45:721–758CrossRef
Zurück zum Zitat Ghosh I, Joo YL, McKinley GH, Brown RA, Armstrong RC (2002) A new model for dilute polymer solutions in flows with strong extensional components. J Rheol 46:1057–1089CrossRef Ghosh I, Joo YL, McKinley GH, Brown RA, Armstrong RC (2002) A new model for dilute polymer solutions in flows with strong extensional components. J Rheol 46:1057–1089CrossRef
Zurück zum Zitat Graham MD (2004) Drag reduction in turbulent flow of polymer solutions. In: Binding DM, Walters K (eds) Rheology reviews. British Society of Rheology, UK, pp 143–170 Graham MD (2004) Drag reduction in turbulent flow of polymer solutions. In: Binding DM, Walters K (eds) Rheology reviews. British Society of Rheology, UK, pp 143–170
Zurück zum Zitat Gupta RK, Nguyen DA, Sridhar T (2000) Extensional viscosity of dilute polystyrene solutions: Effect of concentration and molecular weight. Phys Fluids 12:1296–1318CrossRef Gupta RK, Nguyen DA, Sridhar T (2000) Extensional viscosity of dilute polystyrene solutions: Effect of concentration and molecular weight. Phys Fluids 12:1296–1318CrossRef
Zurück zum Zitat Hermansky CG, Boger DV (1995) Opposing-jet viscometry of fluids with viscosity approaching that of water. J Non-Newtonian Fluid Mech 56:1–14CrossRef Hermansky CG, Boger DV (1995) Opposing-jet viscometry of fluids with viscosity approaching that of water. J Non-Newtonian Fluid Mech 56:1–14CrossRef
Zurück zum Zitat Hoffman BD, Shaqfeh ESG (2007) The dynamics of the coil–stretch transition for long, flexible polymers in planar mixed flows. J Rheol 51:947–969CrossRef Hoffman BD, Shaqfeh ESG (2007) The dynamics of the coil–stretch transition for long, flexible polymers in planar mixed flows. J Rheol 51:947–969CrossRef
Zurück zum Zitat Housiadas KD, Beris AN, Handler RA (2005) Viscoelastic effects on higher order statistics and on coherent structures in turbulent channel flow. Phys Fluids 17:035106.1–035106.20CrossRef Housiadas KD, Beris AN, Handler RA (2005) Viscoelastic effects on higher order statistics and on coherent structures in turbulent channel flow. Phys Fluids 17:035106.1–035106.20CrossRef
Zurück zum Zitat Hsieh CC, Larson RG (2004) Modeling hydrodynamic interaction in Brownian dynamics: simulations of extensional and shear flows of dilute solutions of high molecular weight polystyrene. J Rheol 48:995–1021CrossRef Hsieh CC, Larson RG (2004) Modeling hydrodynamic interaction in Brownian dynamics: simulations of extensional and shear flows of dilute solutions of high molecular weight polystyrene. J Rheol 48:995–1021CrossRef
Zurück zum Zitat Hsieh CC, Larson RG (2005) Prediction of coil–stretch hysteresis for dilute polystyrene molecules in extensional flow. J Rheol 49:1081–1089CrossRef Hsieh CC, Larson RG (2005) Prediction of coil–stretch hysteresis for dilute polystyrene molecules in extensional flow. J Rheol 49:1081–1089CrossRef
Zurück zum Zitat Hsieh CC, Li L, Larson RG (2003) Modeling hydrodynamic interaction in Brownian dynamics: simulations of extensional flows of dilute solutions of DNA and polystyrene. J Non-Newtonian Fluid Mech 113:147–191CrossRef Hsieh CC, Li L, Larson RG (2003) Modeling hydrodynamic interaction in Brownian dynamics: simulations of extensional flows of dilute solutions of DNA and polystyrene. J Non-Newtonian Fluid Mech 113:147–191CrossRef
Zurück zum Zitat Hur JS, Shaqfeh ESG, Babcock HP, Chu S (2002) Dynamics and configurational fluctuations of single DNA molecules in linear mixed flows. Phys Rev E 66:011915CrossRef Hur JS, Shaqfeh ESG, Babcock HP, Chu S (2002) Dynamics and configurational fluctuations of single DNA molecules in linear mixed flows. Phys Rev E 66:011915CrossRef
Zurück zum Zitat Ilg P, De Angelis E, Karlin IV, Casciola CM, Succi S (2002) Polymer dynamics in wall turbulent flow. Europhys Lett 58:616–622CrossRef Ilg P, De Angelis E, Karlin IV, Casciola CM, Succi S (2002) Polymer dynamics in wall turbulent flow. Europhys Lett 58:616–622CrossRef
Zurück zum Zitat James DF, Walters K (1994) A critical appraisal of available methods for the measurement of extensional properties of mobile systems. In: Collyer AA (ed) Techniques of rheological measurement. Elsevier, New York, pp 33–53 James DF, Walters K (1994) A critical appraisal of available methods for the measurement of extensional properties of mobile systems. In: Collyer AA (ed) Techniques of rheological measurement. Elsevier, New York, pp 33–53
Zurück zum Zitat James DF, McLean BD, Saringer JH (1987) Presheared extensional flow of dilute polymer solutions. J Rheol 31:453–481CrossRef James DF, McLean BD, Saringer JH (1987) Presheared extensional flow of dilute polymer solutions. J Rheol 31:453–481CrossRef
Zurück zum Zitat Jones DM, Walters K (1989) The behaviour of polymer solutions in extension-dominated flows, with applications to enhanced oil recovery. Rheol Acta 28:482–498CrossRef Jones DM, Walters K (1989) The behaviour of polymer solutions in extension-dominated flows, with applications to enhanced oil recovery. Rheol Acta 28:482–498CrossRef
Zurück zum Zitat Jones DM, Walters K, Williams PR (1987) On the extensional viscosity of mobile polymer solutions. Rheol Acta 26:20–30CrossRef Jones DM, Walters K, Williams PR (1987) On the extensional viscosity of mobile polymer solutions. Rheol Acta 26:20–30CrossRef
Zurück zum Zitat Larson RG (2000) The role of molecular folds and ‘pre-conditioning’ in the unraveling of polymer molecules during extensional flow. J Non-Newtonian Fluid Mech 94:37–45CrossRef Larson RG (2000) The role of molecular folds and ‘pre-conditioning’ in the unraveling of polymer molecules during extensional flow. J Non-Newtonian Fluid Mech 94:37–45CrossRef
Zurück zum Zitat Larson RG (2005) The rheology of dilute solutions of flexible polymers: progress and problems. J Rheol 49:1–70CrossRef Larson RG (2005) The rheology of dilute solutions of flexible polymers: progress and problems. J Rheol 49:1–70CrossRef
Zurück zum Zitat Larson RG, Magda JJ (1989) Coil–stretch transitions in mixed shear and extensional flows of dilute polymer solutions. Macromolecules 22:3004–3010CrossRef Larson RG, Magda JJ (1989) Coil–stretch transitions in mixed shear and extensional flows of dilute polymer solutions. Macromolecules 22:3004–3010CrossRef
Zurück zum Zitat Larson RG, Hu H, Smith DE, Chu S (1999) Brownian dynamics simulations of a DNA molecule in an extensional flow field. J Rheol 43:267–304CrossRef Larson RG, Hu H, Smith DE, Chu S (1999) Brownian dynamics simulations of a DNA molecule in an extensional flow field. J Rheol 43:267–304CrossRef
Zurück zum Zitat Lee EC, Muller SJ (1999) Flow light scattering studies of polymer coil conformation in solutions in extensional flow. Macromolecules 32:3295–3305CrossRef Lee EC, Muller SJ (1999) Flow light scattering studies of polymer coil conformation in solutions in extensional flow. Macromolecules 32:3295–3305CrossRef
Zurück zum Zitat Li L, Larson R (2000) Excluded volume effects on the birefringence and stress of dilute polymer solutions in extensional flow. Rheol Acta 39:419–427CrossRef Li L, Larson R (2000) Excluded volume effects on the birefringence and stress of dilute polymer solutions in extensional flow. Rheol Acta 39:419–427CrossRef
Zurück zum Zitat Magda JJ, Larson RG, Mackay ME (1988) Deformation-dependent hydrodynamic interaction in flows of dilute polymer solutions. J Chem Phys 89:2504–2513CrossRef Magda JJ, Larson RG, Mackay ME (1988) Deformation-dependent hydrodynamic interaction in flows of dilute polymer solutions. J Chem Phys 89:2504–2513CrossRef
Zurück zum Zitat Magda JJ, Lou J, Baek SG, Devries KL (1991) Second normal stress difference of a Boger fluid. Polymer 32:2000–2009CrossRef Magda JJ, Lou J, Baek SG, Devries KL (1991) Second normal stress difference of a Boger fluid. Polymer 32:2000–2009CrossRef
Zurück zum Zitat Massah H, Kontomaris K, Schowalter WR, Hanratty TJ (1993) The configurations of a FENE bead-spring chain in transient rheological flows and in a turbulent flow. Phys Fluids A 5:881–890CrossRef Massah H, Kontomaris K, Schowalter WR, Hanratty TJ (1993) The configurations of a FENE bead-spring chain in transient rheological flows and in a turbulent flow. Phys Fluids A 5:881–890CrossRef
Zurück zum Zitat McKinley GH, Sridhar T (2002) Filament-stretching rheometry of complex fluids. Annu Rev Fluid Mech 34:375–415CrossRef McKinley GH, Sridhar T (2002) Filament-stretching rheometry of complex fluids. Annu Rev Fluid Mech 34:375–415CrossRef
Zurück zum Zitat Nielsen JK, Rasmussen HK, Hassager O, McKinley GH (2006) Elongational viscosity of monodisperse and bidisperse polystyrene melts. J Rheol 50:453–476CrossRef Nielsen JK, Rasmussen HK, Hassager O, McKinley GH (2006) Elongational viscosity of monodisperse and bidisperse polystyrene melts. J Rheol 50:453–476CrossRef
Zurück zum Zitat Orr NV, Sridhar T (1999) Probing the dynamics of polymer solutions in extensional flow using step strain rate experiments. J Non-Newtonian Fluid Mech 82:203–232CrossRef Orr NV, Sridhar T (1999) Probing the dynamics of polymer solutions in extensional flow using step strain rate experiments. J Non-Newtonian Fluid Mech 82:203–232CrossRef
Zurück zum Zitat Petrie CJS (1995) Extensional flow—a mathematical perspective. Rheol Acta 34:12–26CrossRef Petrie CJS (1995) Extensional flow—a mathematical perspective. Rheol Acta 34:12–26CrossRef
Zurück zum Zitat Petrie CJS (2006) One hundred years of extensional flow. J Non-Newtonian Fluid Mech 137:1–14CrossRef Petrie CJS (2006) One hundred years of extensional flow. J Non-Newtonian Fluid Mech 137:1–14CrossRef
Zurück zum Zitat Phan-Thien N (1980) Small strain oscillatory squeeze film flow of simple fluids. J Austral Math Soc Series B 22:22–27CrossRef Phan-Thien N (1980) Small strain oscillatory squeeze film flow of simple fluids. J Austral Math Soc Series B 22:22–27CrossRef
Zurück zum Zitat Phan-Thien N, Dudek J, Boger DV, Tirtaatmadja V (1985) Squeeze film flow of ideal elastic liquids. J Non-Newtonian Fluid Mech 18:227–254CrossRef Phan-Thien N, Dudek J, Boger DV, Tirtaatmadja V (1985) Squeeze film flow of ideal elastic liquids. J Non-Newtonian Fluid Mech 18:227–254CrossRef
Zurück zum Zitat Prabhakar R, Prakash JR (2006) Gaussian approximation for finitely extensible bead-spring chains with hydrodynamic interaction. J Rheol 50:561–593CrossRef Prabhakar R, Prakash JR (2006) Gaussian approximation for finitely extensible bead-spring chains with hydrodynamic interaction. J Rheol 50:561–593CrossRef
Zurück zum Zitat Prabhakar R, Prakash JR, Sridhar T (2006) Effect of configuration-dependent intramolecular hydrodynamic interaction on elastocapillary thinning and breakup of filaments of dilute polymer solutions. J Rheol 50:925–947CrossRef Prabhakar R, Prakash JR, Sridhar T (2006) Effect of configuration-dependent intramolecular hydrodynamic interaction on elastocapillary thinning and breakup of filaments of dilute polymer solutions. J Rheol 50:925–947CrossRef
Zurück zum Zitat Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical recipes in C: the art of scientific computing. Cambridge University Press, Cambridge Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical recipes in C: the art of scientific computing. Cambridge University Press, Cambridge
Zurück zum Zitat Ramanan VV, Bechtel SE, Gauri V, Koelling KW, Forest MG (1997) Exploiting accurate spinline measurements for elongational material characterization. J Rheol 41:283–306CrossRef Ramanan VV, Bechtel SE, Gauri V, Koelling KW, Forest MG (1997) Exploiting accurate spinline measurements for elongational material characterization. J Rheol 41:283–306CrossRef
Zurück zum Zitat Rasmussen HK, Nielsen JK, Bach A, Hassager O (2005) Viscosity overshoot in the start-up of uniaxial elongation of low density polyethylene melts. J Rheol 49:369–381CrossRef Rasmussen HK, Nielsen JK, Bach A, Hassager O (2005) Viscosity overshoot in the start-up of uniaxial elongation of low density polyethylene melts. J Rheol 49:369–381CrossRef
Zurück zum Zitat Renardy M (1994) Some comments on the surface-tension driven breakup (or the lack of it) of viscoelastic jets. J Non-Newtonian Fluid Mech 51:97–107CrossRef Renardy M (1994) Some comments on the surface-tension driven breakup (or the lack of it) of viscoelastic jets. J Non-Newtonian Fluid Mech 51:97–107CrossRef
Zurück zum Zitat Rothstein JP (2003) Transient extensional rheology of wormlike micelle solutions. J Rheol 47:1227–1247CrossRef Rothstein JP (2003) Transient extensional rheology of wormlike micelle solutions. J Rheol 47:1227–1247CrossRef
Zurück zum Zitat Rothstein JP, McKinley GH (2000) Non-isothermal effects on the flow stability of the torsional flow of highly elastic fluids. Phys Fluids 13:382–396CrossRef Rothstein JP, McKinley GH (2000) Non-isothermal effects on the flow stability of the torsional flow of highly elastic fluids. Phys Fluids 13:382–396CrossRef
Zurück zum Zitat Rothstein JP, McKinley GH (2002a) A comparison of the stress and birefringence growth of dilute, semi-dilute and concentrated polymer solutions in uniaxial extensional flows. J Non-Newtonian Fluid Mech 108:275–290CrossRef Rothstein JP, McKinley GH (2002a) A comparison of the stress and birefringence growth of dilute, semi-dilute and concentrated polymer solutions in uniaxial extensional flows. J Non-Newtonian Fluid Mech 108:275–290CrossRef
Zurück zum Zitat Rothstein JP, McKinley GH (2002b) Inhomogeneous transient uniaxial extensional rheometry. J Rheol 46:1419–1443CrossRef Rothstein JP, McKinley GH (2002b) Inhomogeneous transient uniaxial extensional rheometry. J Rheol 46:1419–1443CrossRef
Zurück zum Zitat Satrape JV, Crochet MJ (1994) Numerical simulation of the motion of a sphere in a Boger fluid. J Non-Newtonian Fluid Mech 55:91–111CrossRef Satrape JV, Crochet MJ (1994) Numerical simulation of the motion of a sphere in a Boger fluid. J Non-Newtonian Fluid Mech 55:91–111CrossRef
Zurück zum Zitat Schroeder CM, Babcock HP, Shaqfeh ESG, Chu S (2003) Observation of polymer conformation hysteresis in extensional flow. Science 301:1515–1519CrossRef Schroeder CM, Babcock HP, Shaqfeh ESG, Chu S (2003) Observation of polymer conformation hysteresis in extensional flow. Science 301:1515–1519CrossRef
Zurück zum Zitat Schroeder CM, Shaqfeh ESG, Chu S (2004) Effect of hydrodynamic interactions on DNA dynamics in extensional flow: simulation and single molecule experiment. Macromolecules 37:9242–9256CrossRef Schroeder CM, Shaqfeh ESG, Chu S (2004) Effect of hydrodynamic interactions on DNA dynamics in extensional flow: simulation and single molecule experiment. Macromolecules 37:9242–9256CrossRef
Zurück zum Zitat Schroeder CM, Teixeira RE, Shaqfeh ESG, Chu S (2005) Dynamics of DNA in the flow-gradient plane of steady shear flow: observations and simulations. Macromolecules 38:1967–1978CrossRef Schroeder CM, Teixeira RE, Shaqfeh ESG, Chu S (2005) Dynamics of DNA in the flow-gradient plane of steady shear flow: observations and simulations. Macromolecules 38:1967–1978CrossRef
Zurück zum Zitat Smith DE, Chu S (1998) Response of flexible polymers to a sudden elongational flow. Science 281:1335–1340CrossRef Smith DE, Chu S (1998) Response of flexible polymers to a sudden elongational flow. Science 281:1335–1340CrossRef
Zurück zum Zitat Solomon MJ, Muller SJ (1996a) Flow past a sphere in polystyrene-based Boger fluids: the effect on the drag coefficient of finite extensibility, solvent quality and polymer molecular weight. J Non-Newtonian Fluid Mech 62:81–94CrossRef Solomon MJ, Muller SJ (1996a) Flow past a sphere in polystyrene-based Boger fluids: the effect on the drag coefficient of finite extensibility, solvent quality and polymer molecular weight. J Non-Newtonian Fluid Mech 62:81–94CrossRef
Zurück zum Zitat Solomon MJ, Muller SJ (1996b) Study of mixed solvent quality in a polystyrene–dioctyl phthalate–polystyrene system. J Poly Sci B Polym Phys 34:181–192CrossRef Solomon MJ, Muller SJ (1996b) Study of mixed solvent quality in a polystyrene–dioctyl phthalate–polystyrene system. J Poly Sci B Polym Phys 34:181–192CrossRef
Zurück zum Zitat Spiegelberg SH, Ables DC, McKinley GH (1996) The role of end-effects on measurements of extensional viscosity in viscoelastic polymer solutions with a filament stretching rheometer. J Non-Newtonian Fluid Mech 64:229–267CrossRef Spiegelberg SH, Ables DC, McKinley GH (1996) The role of end-effects on measurements of extensional viscosity in viscoelastic polymer solutions with a filament stretching rheometer. J Non-Newtonian Fluid Mech 64:229–267CrossRef
Zurück zum Zitat Sridhar T (1990) An overview of the project M1. J Non-Newtonian Fluid Mech 35:85–92CrossRef Sridhar T (1990) An overview of the project M1. J Non-Newtonian Fluid Mech 35:85–92CrossRef
Zurück zum Zitat Sridhar T, Nguyen DA, Fuller GG (2000) Birefringence and stress growth in uniaxial extension of polymer solutions. J Non-Newtonian Fluid Mech 90:299–315CrossRef Sridhar T, Nguyen DA, Fuller GG (2000) Birefringence and stress growth in uniaxial extension of polymer solutions. J Non-Newtonian Fluid Mech 90:299–315CrossRef
Zurück zum Zitat Sridhar T, Nguyen DA, Prabhakar R, Prakash JR (2007) Rheological observation of glassy dynamics of dilute polymer solutions near the coil–stretch transition in elongational flows. Phys Rev Lett 98:167801CrossRef Sridhar T, Nguyen DA, Prabhakar R, Prakash JR (2007) Rheological observation of glassy dynamics of dilute polymer solutions near the coil–stretch transition in elongational flows. Phys Rev Lett 98:167801CrossRef
Zurück zum Zitat Sridhar T, Tirtaatmadja V, Nguyen DA, Gupta RK (1991) Measurement of extensional viscosity of polymer solutions. J Non-Newtonian Fluid Mech 40:271–280CrossRef Sridhar T, Tirtaatmadja V, Nguyen DA, Gupta RK (1991) Measurement of extensional viscosity of polymer solutions. J Non-Newtonian Fluid Mech 40:271–280CrossRef
Zurück zum Zitat Stone PA, Roy A, Larson RG, Waleffe F, Graham MD (2004) Polymer drag reduction in exact coherent structures of plane shear flow. Phys Fluids 16:3470–3482CrossRef Stone PA, Roy A, Larson RG, Waleffe F, Graham MD (2004) Polymer drag reduction in exact coherent structures of plane shear flow. Phys Fluids 16:3470–3482CrossRef
Zurück zum Zitat Sunthar P, Nguyen DA, Dubbelboer R, Prakash JR, Sridhar T (2005) Measurement and prediction of the elongational stress growth in a dilute solution of DNA molecules. Macromolecules 38:10200–10209CrossRef Sunthar P, Nguyen DA, Dubbelboer R, Prakash JR, Sridhar T (2005) Measurement and prediction of the elongational stress growth in a dilute solution of DNA molecules. Macromolecules 38:10200–10209CrossRef
Zurück zum Zitat Szabo P (1997) Transient filament stretching rheometer I: force balance analysis. Rheol Acta 36:277–284 Szabo P (1997) Transient filament stretching rheometer I: force balance analysis. Rheol Acta 36:277–284
Zurück zum Zitat Szabo P, McKinley GH (2003) Filament stretching rheometer: inertia compensation revisited. Rheol Acta 42:269–272 Szabo P, McKinley GH (2003) Filament stretching rheometer: inertia compensation revisited. Rheol Acta 42:269–272
Zurück zum Zitat Tiederman WG, Luchik TS, Bogard DG (1985) Wall-layer structure and drag reduction. J Fluid Mech 156:419–437CrossRef Tiederman WG, Luchik TS, Bogard DG (1985) Wall-layer structure and drag reduction. J Fluid Mech 156:419–437CrossRef
Zurück zum Zitat Tirtaatmadja V, Sridhar T (1993) A filament stretching device for measurement of extensional viscosity. J Rheol 37:1081–1102CrossRef Tirtaatmadja V, Sridhar T (1993) A filament stretching device for measurement of extensional viscosity. J Rheol 37:1081–1102CrossRef
Zurück zum Zitat Toms BA (1977) Early experiments on drag reduction by polymers. Phys Fluids 20:S3–S5CrossRef Toms BA (1977) Early experiments on drag reduction by polymers. Phys Fluids 20:S3–S5CrossRef
Zurück zum Zitat Tripathi A, Tam KC, McKinley GH (2006) Rheology and dynamics of associative polymers in shear and extension: theory and experiments. Macromolecules 39:1981–1999CrossRef Tripathi A, Tam KC, McKinley GH (2006) Rheology and dynamics of associative polymers in shear and extension: theory and experiments. Macromolecules 39:1981–1999CrossRef
Zurück zum Zitat Vissmann K, Bewersdorff H-W (1990) The influence of pre-shearing on the elongational behaviour of dilute polymer and surfactant solutions. J Non-Newtonian Fluid Mech 34:289–317CrossRef Vissmann K, Bewersdorff H-W (1990) The influence of pre-shearing on the elongational behaviour of dilute polymer and surfactant solutions. J Non-Newtonian Fluid Mech 34:289–317CrossRef
Zurück zum Zitat Vorwerk J, Brunn PO (1991) Porous medium flow of the fluid A1: effects of shear and elongation. J Non-Newtonian Fluid Mech 41:119–131CrossRef Vorwerk J, Brunn PO (1991) Porous medium flow of the fluid A1: effects of shear and elongation. J Non-Newtonian Fluid Mech 41:119–131CrossRef
Zurück zum Zitat Woo NJ, Shaqfeh ESG (2003) The configurational phase transitions of flexible polymers in planar mixed flows near simple shear. J Chem Phys 119:2908–2914CrossRef Woo NJ, Shaqfeh ESG (2003) The configurational phase transitions of flexible polymers in planar mixed flows near simple shear. J Chem Phys 119:2908–2914CrossRef
Zurück zum Zitat Ye X, Sridhar T (2001) Shear and extensional properties of three-arm polystyrene solutions. Macromolecules 34:8270–8277CrossRef Ye X, Sridhar T (2001) Shear and extensional properties of three-arm polystyrene solutions. Macromolecules 34:8270–8277CrossRef
Zurück zum Zitat Ye X, Larson RG, Pattamaprom C, Sridhar T (2003) Extensional properties of monodisperse and bidisperse polystyrene solutions. J Rheol 47:443–468CrossRef Ye X, Larson RG, Pattamaprom C, Sridhar T (2003) Extensional properties of monodisperse and bidisperse polystyrene solutions. J Rheol 47:443–468CrossRef
Zurück zum Zitat Zhou Q, Akhavan R (2003) A comparison of FENE and FENE-P dumbbell and chain models in turbulent flow. J Non-Newtonian Fluid Mech 109:115–155CrossRef Zhou Q, Akhavan R (2003) A comparison of FENE and FENE-P dumbbell and chain models in turbulent flow. J Non-Newtonian Fluid Mech 109:115–155CrossRef
Metadaten
Titel
Effect of a controlled pre-deformation history on extensional viscosity of dilute polymer solutions
verfasst von
Shelley L. Anna
Gareth H. McKinley
Publikationsdatum
01.11.2008
Verlag
Springer-Verlag
Erschienen in
Rheologica Acta / Ausgabe 8/2008
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-007-0253-0

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