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Rheologica Acta

Erschienen in:

01.02.2015 | Original Contribution

Fractional modelling of functionalized CNT suspensions

verfasst von: Jose Vicente Aguado, Emmanuelle Abisset-Chavanne, Elias Cueto, Francisco Chinesta, Roland Keunings

Erschienen in: Rheologica Acta | Ausgabe 2/2015

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Abstract

Experimental findings and rheological modelling of chemically treated single-wall carbon nanotubes suspended in an epoxy resin were addressed in a recent publication (Ma et al., J Rheol 53:547–573, 2009). The shear-thinning behaviour was successfully modelled by a Fokker-Planck-based orientation model. However, the proposed model failed to describe linear viscoelasticity using a single mode as well as the relaxation after applying a finite step strain. Both experiments revealed a power-law behaviour for the storage and relaxation moduli. In this paper, we show that a single-mode fractional diffusion model is able to predict these experimental observations.

Vorheriger Artikel A generalized equation for rheology of emulsions and suspensions of deformable particles subjected to simple shear at low Reynolds number

Nächster Artikel Experimental considerations on the step shear strain in polymer melts: sources of error and windows of confidence

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Abisset-Chavanne E, Mezher R, Le Corre S, Ammar A, Chinesta F (2013) Kinetic theory microstructure modeling in concentrated suspensions. Entropy 15:2805–2832. doi:10.3390/e15072805 CrossRef

Abisset-Chavanne E, Chinesta F, Ferec J, Ausias G, Keunings, R (2014) On the multiscale description of dilute suspensions of non-Brownian rigid clusters composed of rods. J Non-Newtonian Fluid Mech. doi:10.1016/j.jnnfm.2014.08.014

Advani S, Tucker CL (1987) The use of tensors to describe and predict fiber orientation in short fiber composites. J Rheol 31:751–784CrossRef

Advani S, Tucker CL (1990) Closure approximations for three-dimensional structure tensors. J Rheol 34:367–386CrossRef

Amari T, Watanabe K (1980) Stress relaxation of carbon black-linseed oil suspensions. J Soc Rheol Jpn 8:80–83CrossRef

Carter LF (1967) A study of the rheology of suspensions of rod-shaped particles in a Navier-Stokes liquid. Ph.D. dissertation, University of Michigan, Ann Arbor

Chinesta F (2013) From single-scale to two-scales kinetic theory descriptions of rods suspensions. Arch Comput Methods Eng 20:1–29CrossRef

Cueto E, Ma AWK, Chinesta F, Mackley MR (2008) Numerical simulation of spin coating processes involving functionalised carbon nanotube suspensions. Int J Mater Form 1:89–99CrossRef

Cueto E, Monge R, Chinesta F, Poitou A, Alfaro I, Mackley MR (2010) Rheological modeling and forming process simulation of CNT nanocomposites. Int J Mater Form 3:1327–1338CrossRef

Cruz C, Illoul L, Chinesta F, Regnier G (2010) Effects of a bent structure on the linear viscoelastic response of carbon nanotube diluted suspensions. Rheologica Acta 49:1141–1155CrossRef

Cruz C, Chinesta F, Regnier G (2012) Review on the Brownian dynamics simulation of bead-rod-spring models encountered in computational rheology. Arch Comput Methods Eng 19/2:227–259CrossRef

Dupret F, Verleye V (1999) Modelling the flow of fibre suspensions in narrow gaps. In: Siginer DA, De Kee D, Chabra RP (eds) Advances in the flow and rheology of non-newtonian fluids, rheology series. Elsevier, pp 1347–1398

Ganani E, Powell RL (1986) Rheological properties of rodlike particles in a Newtonian and non-Newtonian fluid. J Rheol 30:995–1013CrossRef

Jaishankar A, McKinley GH (2012) Power-law rheology in the bulk and at the interface: quasi-properties and fractional constitutive equations. Proc R Soc. doi:10.1098/rspa.2012.0284

Jeffery GB (1922) The motion of ellipsoidal particles immersed in a viscous fluid. Proc R Soc London A102:161–179CrossRef

Kilbas A, Srivastava H M, Trujillo J J (2006) Theory and applications of fractional differential equations. Elsevier

Kroger M, Ammar A, Chinesta F (2008) Consistent closure schemes for statistical models of anisotropic fluids. J Non-Newtonian Fluid Mech 149:40–55CrossRef

Ma A, Chinesta F, Mackley MR, Ammar A (2008) The rheological modelling of carbon nanotube (CNT) suspensions in steady shear flows. Int J Mater Form 2:83–88CrossRef

Ma A, Chinesta F, Ammar A, Mackley MR (2008) Rheological modelling of carbon nanotube aggregate suspensions. J Rheol 52/6:1311–1330CrossRef

Ma A, Chinesta F, Mackley MR (2009) The rheology and modelling of chemically treated carbon nanotube suspensions. J Rheol 53/3:547–573CrossRef

Mewis J, Meire C (1984) Yielding in weakly flocculated systems. In: Mena B, Garcia-Rejon A, Rangel-Nafaille C (eds) Advances in rheology, volume 2: fluids. Elsevier

Podlubny I (1999) Fractional differential equations. Academic, San Diego

Rahatekar SS, Koziol KK, Butler SA, Elliott JA, Shaffer MSP, Mackley MR, Windle AH (2006) Optical microstructure and viscosity enhancement for an epoxy resin matrix containing multi-wall carbon nanotubes. J Rheol 50:599–610CrossRef

Song YK, Youn JR (2005) Influence of dispersion states of Carbon Nanotubes on physical properties of epoxy nanocomposites. Carbon 43:1378–1385CrossRef

Xu JS, Chatterjee S, Koelling KW, Wang Y, Bechtel SE (2005) Shear and extensional rheology of carbon nanofibers suspensions. Rheol Acta 44:537–562CrossRef

Yearsley KM, Mackley MR, Chinesta F, Leygue A (2012) The rheology of multiwalled carbon nanotube and carbon black suspensions. J Rheol 56:1465–1490CrossRef

Titel: Fractional modelling of functionalized CNT suspensions
verfasst von: Jose Vicente Aguado
Emmanuelle Abisset-Chavanne
Elias Cueto
Francisco Chinesta
Roland Keunings
Publikationsdatum: 01.02.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Rheologica Acta / Ausgabe 2/2015
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI: https://doi.org/10.1007/s00397-014-0828-5

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