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Published in: Rheologica Acta 10-12/2013

01-11-2013 | Review

Viscosity and dynamics of nanorod (carbon nanotubes, cellulose whiskers, stiff polymers and polymer fibers) suspensions

Authors: Philippe Cassagnau, Wenjing Zhang, Bernadette Charleux

Published in: Rheologica Acta | Issue 10-12/2013

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Abstract

The zero shear viscosity and the dynamic behaviors of different nanorod dispersions (carbon nanotubes (CNTs), cellulose whiskers, polymer nanofibers, crosslinked polymer nanofibers, and stiff polymers such as poly(γ-benzyl-α-l-glutamate) (PBLG)) were compared and discussed from literature data. Their Brownian dynamic behaviors have always been discussed in the frame of the Doi–Edwards theory. In agreement with this theory, the straight rigid rods (CNTs, cellulose whisker, polymer nanofibers) obey a master curve in the reduced viscosity (or rotary diffusivity) c power laws on viscosity (η 0 ∝ φ 3) and diffusivity (D r ∝ ϕ −2). On the contrary, stiff polymer chains and crosslinked polymer fibers at temperature above T g exhibit different and two distinct dynamic behaviors. Despite their deviation from the ideal rigidity, surprisingly it can be noted that stiff polymers such as PBLG have been extremely used in the literature to verify the Doi–Edwards theory. Finally, flexible crosslinked chains at T > T g , do not obey the Doi–Edwards theory, and their dynamics are close to the physics of polymer solutions in terms of power laws.

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Literature
go back to reference Bercea M, Navard P (2000) Shear dynamics of aqueous suspensions of cellulose whiskers. Macromolecules 33:6011–6016CrossRef Bercea M, Navard P (2000) Shear dynamics of aqueous suspensions of cellulose whiskers. Macromolecules 33:6011–6016CrossRef
go back to reference Bitsanis I, Davis HT, Tirrell M (1990) Brownian dynamics of nondilute solutions of rodlike polymers. II. High concentrations. Macromolecules 23:1157–1165CrossRef Bitsanis I, Davis HT, Tirrell M (1990) Brownian dynamics of nondilute solutions of rodlike polymers. II. High concentrations. Macromolecules 23:1157–1165CrossRef
go back to reference Bitsanis I, Davis HT, Tirrell M (1988) Brownian dynamics of non-dilute solutions of rod-like polymers. I. Low concentrations. Macromolecules 21:2824–2835CrossRef Bitsanis I, Davis HT, Tirrell M (1988) Brownian dynamics of non-dilute solutions of rod-like polymers. I. Low concentrations. Macromolecules 21:2824–2835CrossRef
go back to reference Boissé S, Rieger J, Belal K, Di-Cicco A, Beaunier P, Li MH, Charleux B (2010) Amphiphilic block copolymer nano-fibers via RAFT-mediated polymerization in aqueous dispersed system. Chem Commun 46:1950–1952CrossRef Boissé S, Rieger J, Belal K, Di-Cicco A, Beaunier P, Li MH, Charleux B (2010) Amphiphilic block copolymer nano-fibers via RAFT-mediated polymerization in aqueous dispersed system. Chem Commun 46:1950–1952CrossRef
go back to reference Boissé S, Rieger J, Pembouong G, Beaunier P, Charleux B (2011) Influence of the stirring speed and CaCl2 concentration on the nano-object morphologies obtained via RAFT-mediated aqueous emulsion polymerization in the presence of a water-soluble macroRAFT agent. J Polym Sci: Part A: Polym Chem 49:3346–3354CrossRef Boissé S, Rieger J, Pembouong G, Beaunier P, Charleux B (2011) Influence of the stirring speed and CaCl2 concentration on the nano-object morphologies obtained via RAFT-mediated aqueous emulsion polymerization in the presence of a water-soluble macroRAFT agent. J Polym Sci: Part A: Polym Chem 49:3346–3354CrossRef
go back to reference Bu ZB, Russo PS, Tipton DL (1994) Negulescu II, self-diffusion of rodlike polymers in isotropic solutions. Macromolecules 27:6871–6882CrossRef Bu ZB, Russo PS, Tipton DL (1994) Negulescu II, self-diffusion of rodlike polymers in isotropic solutions. Macromolecules 27:6871–6882CrossRef
go back to reference Cobb PD, Butler JE (2006) Simulations of concentrated suspensions of semirigid fibers: effect of bending on the rotational diffusivity. Macromolecules 39:886–892CrossRef Cobb PD, Butler JE (2006) Simulations of concentrated suspensions of semirigid fibers: effect of bending on the rotational diffusivity. Macromolecules 39:886–892CrossRef
go back to reference DeLong LM, Russo PS (1991) Thermodynamic and dynamic behavior of semiflexible polymers in the isotropic phase. Macromolecules 24:6139–6155CrossRef DeLong LM, Russo PS (1991) Thermodynamic and dynamic behavior of semiflexible polymers in the isotropic phase. Macromolecules 24:6139–6155CrossRef
go back to reference Doi M, Edwards SF (1978a) Dynamics of rod-like macromolecules in concentrated solution. Part 1. J Chem Soc Faraday Trans 2(74):560–570 Doi M, Edwards SF (1978a) Dynamics of rod-like macromolecules in concentrated solution. Part 1. J Chem Soc Faraday Trans 2(74):560–570
go back to reference Doi M, Edwards SF (1978b) Dynamics of rod-like macromolecules in concentrated solutions. Part 2. Chem Soc Faraday Trans 74:918–932CrossRef Doi M, Edwards SF (1978b) Dynamics of rod-like macromolecules in concentrated solutions. Part 2. Chem Soc Faraday Trans 74:918–932CrossRef
go back to reference Doi M, Edwards SF (1986) Oxford University Press, London Doi M, Edwards SF (1986) Oxford University Press, London
go back to reference Fixman M (1985) Dynamics of semidilute polymer rods: an alternative to cages. Phys Rev Lett 55:2429–2432CrossRef Fixman M (1985) Dynamics of semidilute polymer rods: an alternative to cages. Phys Rev Lett 55:2429–2432CrossRef
go back to reference Fry D, Langhorst B, Wang H, Becker ML, Bauer BJ, Grulke EA, Hobbie EK (2006) Rheo-optical studies of carbon nanotube suspensions. J Chem Phys 054703:124 Fry D, Langhorst B, Wang H, Becker ML, Bauer BJ, Grulke EA, Hobbie EK (2006) Rheo-optical studies of carbon nanotube suspensions. J Chem Phys 054703:124
go back to reference Hobbie EK (2010) Shear rheology of carbon nanotube suspensions. Rheol Acta 49:323–334CrossRef Hobbie EK (2010) Shear rheology of carbon nanotube suspensions. Rheol Acta 49:323–334CrossRef
go back to reference Hobbie EK, Fry DJ (2006) Non equilibrium phase diagram of sticky nanotube suspensions. Phys Rev Lett 036101:97 Hobbie EK, Fry DJ (2006) Non equilibrium phase diagram of sticky nanotube suspensions. Phys Rev Lett 036101:97
go back to reference Immaneni A, McHugh AJ (1998) The effect of concentration, temperature, and molecular weight on the dynamics of rigid-rod molecules in semi-dilute solutions. J Polym Phys: Part B: Polym Phys 36:181–190CrossRef Immaneni A, McHugh AJ (1998) The effect of concentration, temperature, and molecular weight on the dynamics of rigid-rod molecules in semi-dilute solutions. J Polym Phys: Part B: Polym Phys 36:181–190CrossRef
go back to reference Larson RG (1999) The structure and rheology of complex fluids. Chapter 6: particulate suspensions. Oxford University Press, London, pp 263–323 Larson RG (1999) The structure and rheology of complex fluids. Chapter 6: particulate suspensions. Oxford University Press, London, pp 263–323
go back to reference Ma AWK, Mackley MR, Rahatekar SS (2007) Experimental observation on the flow-induced assembly of carbon nanotube suspensions to form helical bands. Rheol Acta 46:979–987CrossRef Ma AWK, Mackley MR, Rahatekar SS (2007) Experimental observation on the flow-induced assembly of carbon nanotube suspensions to form helical bands. Rheol Acta 46:979–987CrossRef
go back to reference Ma AWK, Chinesta F, Mackley MR (2008) The rheology and modelling of chemically treated carbon nanotubes suspensions. J Rheology 52:1311–1330CrossRef Ma AWK, Chinesta F, Mackley MR (2008) The rheology and modelling of chemically treated carbon nanotubes suspensions. J Rheology 52:1311–1330CrossRef
go back to reference Marceau S, Fulchiron R, Dubois Ph, Cassagnau P (2009) Viscoelasticity of Brownian carbon nanotubes in PDMS semidilute regime. Macromolecules 42:1433–1438CrossRef Marceau S, Fulchiron R, Dubois Ph, Cassagnau P (2009) Viscoelasticity of Brownian carbon nanotubes in PDMS semidilute regime. Macromolecules 42:1433–1438CrossRef
go back to reference Mead DW, Larson RG (1990) Rheoptical study of isotropic solutions of stiff polymers. Macromolecules 23:2524–2533CrossRef Mead DW, Larson RG (1990) Rheoptical study of isotropic solutions of stiff polymers. Macromolecules 23:2524–2533CrossRef
go back to reference Moreira L, Fulchiron R, Seytre G, Dubois P, Cassagnau P (2010) Aggregation of carbon nanotubes in semidilute suspension. Macromolecules 43:1467–1472CrossRef Moreira L, Fulchiron R, Seytre G, Dubois P, Cassagnau P (2010) Aggregation of carbon nanotubes in semidilute suspension. Macromolecules 43:1467–1472CrossRef
go back to reference Mori Y, Ookubo N, Hayakawa R (1982) Microstructural regimes of colloidal rod suspensions, gels, and glasses. J Polym Sci Part B: Polym Phys 20:2111–2124CrossRef Mori Y, Ookubo N, Hayakawa R (1982) Microstructural regimes of colloidal rod suspensions, gels, and glasses. J Polym Sci Part B: Polym Phys 20:2111–2124CrossRef
go back to reference Nguyen LTH, Chen S, Elumalai NK, Prabhakaran MP, Zong Y, Vijila C (2012) Biological, chemical and electronic applications of nanofibers. Macromol Mater Eng. doi:10.1002/mame.201200143 Nguyen LTH, Chen S, Elumalai NK, Prabhakaran MP, Zong Y, Vijila C (2012) Biological, chemical and electronic applications of nanofibers. Macromol Mater Eng. doi:10.​1002/​mame.​201200143
go back to reference Phalakornkul JK, Gast AP, Pecora R (1999) Rotational and translational dynamics of rodlike polymers: a combined transient electric birefringence and dynamic light scattering study. Macromolecules 32:3122–3135CrossRef Phalakornkul JK, Gast AP, Pecora R (1999) Rotational and translational dynamics of rodlike polymers: a combined transient electric birefringence and dynamic light scattering study. Macromolecules 32:3122–3135CrossRef
go back to reference Philipse AP, Wierenga AM (1998) On the density and structure formation in gels and clusters of colloidal rods and fibers. Langmuir 14:49–54CrossRef Philipse AP, Wierenga AM (1998) On the density and structure formation in gels and clusters of colloidal rods and fibers. Langmuir 14:49–54CrossRef
go back to reference Solomon MJ, Spicer PT (2010) Microstructural regimes of colloidal rod suspensions, gels, and glasses. Soft Matter 6:1391–1400CrossRef Solomon MJ, Spicer PT (2010) Microstructural regimes of colloidal rod suspensions, gels, and glasses. Soft Matter 6:1391–1400CrossRef
go back to reference Teraoka I, Hayakawa R (1989) Theory of dynamics of entangled rod-like polymers by use of a mean-field. Green function formulation. II. Rotational diffusion. J Chem Phys 91:2643–2648CrossRef Teraoka I, Hayakawa R (1989) Theory of dynamics of entangled rod-like polymers by use of a mean-field. Green function formulation. II. Rotational diffusion. J Chem Phys 91:2643–2648CrossRef
go back to reference Tracy MA, Pecora R (1992) Dynamics of rigid and semirigid rodlike polymers. Annu Rev Phys Chem 43:525–527CrossRef Tracy MA, Pecora R (1992) Dynamics of rigid and semirigid rodlike polymers. Annu Rev Phys Chem 43:525–527CrossRef
go back to reference Wierenga AM, Philipse AP (1998) Low-shear viscosity of isotropic dispersions of (Brownian) rods and fibres; a review of theory and experiments. Colloid Surface Physicochem Eng Aspect 137:355–372CrossRef Wierenga AM, Philipse AP (1998) Low-shear viscosity of isotropic dispersions of (Brownian) rods and fibres; a review of theory and experiments. Colloid Surface Physicochem Eng Aspect 137:355–372CrossRef
go back to reference Wilkins GMH, Spicer PT, Solomon MJ (2009) Colloidal system to explore structural and dynamical transitions in rod networks, gels, and glasses. Langmuir 25:8951–8959CrossRef Wilkins GMH, Spicer PT, Solomon MJ (2009) Colloidal system to explore structural and dynamical transitions in rod networks, gels, and glasses. Langmuir 25:8951–8959CrossRef
go back to reference Zhang X, Boissé S, Zhang W, Beaunier P, D’Agosto F, Rieger J, Charleux B (2011) From soluble macromolecules to block copolymer nano-objects in one step. Macromolecules 44:4149–4158CrossRef Zhang X, Boissé S, Zhang W, Beaunier P, D’Agosto F, Rieger J, Charleux B (2011) From soluble macromolecules to block copolymer nano-objects in one step. Macromolecules 44:4149–4158CrossRef
go back to reference Zhang W, Charleux B, Cassagnau P (2012) Viscoelastic properties of water suspensions of polymer nanofibers synthesized via RAFT-mediated emulsion polymerization. Macromolecules 45:5273–5280CrossRef Zhang W, Charleux B, Cassagnau P (2012) Viscoelastic properties of water suspensions of polymer nanofibers synthesized via RAFT-mediated emulsion polymerization. Macromolecules 45:5273–5280CrossRef
go back to reference Zhang W, Charleux B, Cassagnau P (2013) Dynamic behavior of crosslinked amphiphilic block copolymer nanofibers dispersed in liquid poly(ethylene oxide) below and above their glass transition temperature. Soft Matter 9:2197–2205CrossRef Zhang W, Charleux B, Cassagnau P (2013) Dynamic behavior of crosslinked amphiphilic block copolymer nanofibers dispersed in liquid poly(ethylene oxide) below and above their glass transition temperature. Soft Matter 9:2197–2205CrossRef
Metadata
Title
Viscosity and dynamics of nanorod (carbon nanotubes, cellulose whiskers, stiff polymers and polymer fibers) suspensions
Authors
Philippe Cassagnau
Wenjing Zhang
Bernadette Charleux
Publication date
01-11-2013
Publisher
Springer Berlin Heidelberg
Published in
Rheologica Acta / Issue 10-12/2013
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-013-0719-1

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