Rheological modeling of suspensions of fibrous nanoparticles in polymeric viscoelastic media

Journal of Non-Newtonian Fluid Mechanics

Volumn 223, Issue , 2015, Pages 240-248

  Sodeifian, Gh ^a   Ramazani, S A A ^b   Ranjbari, R ^a  

^a UNIVERSITY OF KASHAN   (Iran)

^b SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Conformation tensor; Fiber suspension; Modeling; Orientation tensor; Viscoelastic media

Indexed keywords

CARBON; FIBERS; FORECASTING; GROWTH KINETICS; MATRIX ALGEBRA; MODELS; NANOFIBERS; NANOPARTICLES; NANORODS; POLYMERS; RHEOLOGY; SHEAR FLOW; SHEAR VISCOSITY; TENSORS; VISCOELASTICITY;

CONFORMATION TENSOR; FIBER SUSPENSIONS; INTERACTION COEFFICIENT; INTERNAL STATE VARIABLES; NORMAL STRESS DIFFERENCE; ORIENTATION TENSOR; SHORT FIBER SUSPENSIONS; VISCOELASTIC MEDIA;

SUSPENSIONS (FLUIDS);

EID: 84939484903     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2015.07.012     Document Type: Article

References (76)

1. Iijima S. Helical microtubules of graphitic carbon. Nature 1991, 354:56-58.
2. Dyke C.A., Tour J.M. Covalent functionalization of single-walled carbon nanotubes for materials applications. J. Phys. Chem. A. 2004, 108:11151-11159.
3. Geng H., Rosen R., Zheng B., Shimoda H., Fleming L., Liu J., Zhou O. Fabrication and properties of composites of poly(ethylene oxide) and functionalized carbon nanotubes. Adv. Mater. 2002, 14:1387-1390.
4. Biercuk M.J., Llaguno M.C., Radosavljevic M., Hyun J.K., Johnson A.T., Fischer J.E. Carbon nanotube composites for thermal management. Appl. Phys. Lett. 2002, 80:2767-2769.
5. Choi E.S., Brooks J.S., Eaton D.L., Al-Haik M.S., Hussaini M.Y., Garmestani H., Li D., Dahmen K. Enhancement of thermal and electrical properties of carbon nanotube polymer composites by magnetic field processing. J. Appl. Phys. 2003, 94:6034-6039.
6. Du F., Guthy C., Kashiwagi T., Fischer J.E., Winey K.I. An infiltration method for preparing single-wall nanotube/epoxy composites with improved thermal conductivity. Polym. Sci., Part B: Polym. Phys. 2006, 44:1513-1519.
7. Yang S., Lozano K., Lomeli A., Foltz H.D., Jones R. Electromagnetic interference shielding effectiveness of carbon nanofiber/LCP composites. Composites: Part A 2005, 36:691-697.
8. Ramasubramaniam R., Chen J., Liu H. Homogeneous carbon nanotube/polymer composites for electrical applications. Appl. Phys. Lett. 2003, 83:2928-2930.
9. Jiang X., Bin Y., Matsuo M. Electrical and mechanical properties of polyimidecarbon nanotubes composites fabricated by in situ polymerization. Polymer 2005, 46:7418-7424.
10. Meincke O., Kaempfer D., Weickmann H., Friedrich C., Vathauer M., Warth H. Mechanical properties and electrical conductivity of carbon-nanotube filled polyamide-6 and its blends with acrylonitrile/butadiene/styrene. Polymer 2004, 45:739-748.
11. Fry D., Langhorst B., Kim H., Grulke E., Grulke H., Hobbie E.K. Anisotropy of sheared carbon-nanotube suspensions. Phys. Rev. Lett. 2005, 95.
12. Hobbie E.K., Fry D.J. Nonequilibrium phase diagram of sticky nanotube suspensions. Phys. Rev. Lett. 2006, 97.
13. Hobbie E.K., Fry D.J. Rheology of concentrated carbon nanotube suspensions. J. Chem. Phys. 2007, 126.
14. Caldeira G., Maia J.M., Carneiro O.S., Covas J.A., Bernardo C.A. Production and characterization of innovative carbon fiber-polycarbonate composites. Polym. Compos. 1998, 19:147-151.
15. Carneiro O.S., Covas J.A., Bernardo C.A., Caldeira G., Van Hattum F.W.J., Ting J.-M., Alig R.L., Lake M.L. Production and assessment of polycarbonate composites reinforced with vapour-grown carbon fibres. Compos. Sci. Technol. 1998, 58:401-407.
16. Hammel E., Tang X., Trampert M., Schmitt T., Mauthner K., Eder A., Pötschke P. Carbon nanofibers for composite applications. Carbon 2004, 42:1153-1158.
17. Higgins B.A., Brittain W.J. Polycarbonate carbon nanofiber composites. Eur. Polym. J. 2005, 41:889-893.
18. Lozano K., Yang S., Zeng Q. Rheological analysis of vapor-grown carbon nanofiber-reinforced polyethylene composites. J. Appl. Polym. Sci. 2004, 93:155-162.
19. Carneiro O.S., Maia J.M. Rheological behavior of short carbon fiber/thermoplastic composites. Part I: the influence of fiber type, processing conditions and level of incorporation. Polym. Compos. 2000, 21:960-969.
20. Ceccia S., Ferri D., Tabuani D., Maffettone P.L. Rheology of carbon nanofiber-reinforced polypropylene. Rheol. Acta 2008, 47:425-433.
21. Kumar S., Doshi H., Srinivasarao M., Park J.O., Schiraldi D.A. Fibers from polypropylene/nano carbon composites. Polymer 2002, 43:1701-1703.
22. Lozano K., Barrera E.V. Nanofiber-reinforced thermoplastic composites. I. Thermoanalytical and mechanical analyses. J. Appl. Polym. Sci. 2001, 79:125-133.
23. Lozano K., Bonilla-Rios J., Barrera E.V. A study on nanofiber-reinforced thermoplastic composites. II. Investigation of the mixing rheology and conduction properties. J. Appl. Polym. Sci. 2001, 80:1162-1172.
24. Tibbetts G.G., McHugh J.J. Mechanical properties of vapor-grown carbon fiber composites with thermoplastic matrices. J. Mater. Res. 1999, 14:2871-2880.
25. Van Hattum F.W.J., Bernardo C.A., Finegan J.C., Tibbetts G.G., Alig R.L., Lake M.L. A study of the thermomechanical properties of carbon fiber-polypropylene composites. Polym. Compos. 1999, 20:683-688.
26. Ma H., Zeng J., Realff M.L., Kumar S., Schiraldi D.A. Processing, structure, and properties of fibers from polyester/carbon nanofiber composites. Compos. Sci. Technol. 2003, 63:1617-1628.
27. Lake M.L., Glasgow D.G., Kwag C., Burton D.J. Proceedings of the 47th International SAMPE Symposium and Exhibition 2002, 1794-1800. Society for the Advancement of Material and Process Engineering.
28. Glasgow D.G., Tibbetts G.G., Matuszewski M.J., Walters K.R., Lake M.L. Society for the. Proceedings of the 49th International SAMPE Symposium and Exhibition 2004, 2355-2364. Advancement of Material and Process Engineering.
29. Cooper C.A., Ravich D., Lips D., Mayer J., Wagner H.D. Distribution and alignment of carbon nanotubes and nanofibrils in a polymer matrix. Compos. Sci. Technol. 2002, 62:1105-1112.
30. Zeng J., Saltysiak B., Johnson W.S., Schiraldi D.A., Kumar S. Processing and properties of poly methyl methacrylate-carbon nano fiber composites. Compos. Part B: Eng. 2004, 35:173-178.
31. Cipriano B.H., Kota A.K., Gershon A.L., Laskowski C.J., Kashiwagi T., Bruck H.A., Raghavan S.R. Conductivity enhancement of carbon nanotube and nanofiber-based polymer nanocomposites by melt annealing. Polymer 2008, 49:4846-4851.
32. Advani S.G., Tucker C.L. The use of tensors to describe and predict fiber orientation in short fiber composites. J. Rheol. 1987, 31:751-784.
33. Altan M.C., Advani S.G., GüÇeri S.I., Pipes R.B. On the description of the orientation State for fiber suspensions in homogeneous flows. J. Rheol. 1989, 33:1129-1156.
34. Ranganathan S., Advani S.G. Characterization of orientation clustering in short fiber composites. J. Polym. Sci., Part B, Polym. Phys. 1991, 28:2651-2672.
35. Fan X.J., Moldenares P., Keunings R. Theoretical and applied rheology. Proceedings of the XIth International Congress on Rheology, Brussles 1992, 850-852. Elsevier.
36. Ramazani S.A.A., Ait-Kadi A., Grmela M. Rheology of fibre suspensions in viscoelastic media: experiments and model predictions. J. Rheol. 2001, 45.
37. Eslami H., Grmela M., Bousmina M. A mesoscopic rheological model of polymer/layered silicate nanocomposite. J. Rheol. 2007, 51(6).
38. Bird R.B., Hassager O., Artmstrong R.C., Curtiss C. Dynamics of Polymeric Liquids, vol. 2: Kinetic Theory 1977, John Wiley and Sons, New York.
39. Grmela M. Dependence of the stress tensor on the intermolecular viscosity. J. Rheol. 1989, 33:207-231.
40. Leonov A.I. Nonequilibrium thermodynamics and rheology of viscoelastic polymer media. Rheol. Acta 1976, 15:85-98.
41. Ait-Kadi A., Ramazani S.A.A., Grmela M., Zhou C. Volume preserving rheological models for polymer melts and solutions using the GENERIC formalism. J. Rheol. 1999, 43:51-72.
42. Jeffery G.B. The motion of ellipsoidal particles immersed in viscous fluid. Proc. Roy. Soc. Lond A 1922, 102-161.
43. Tucker C.L., Advani S.G. Processing of short-fiber systems. Flow and Rheology in Polymer Composites Manufacturing 1994, 147-202. Elsevier Science, Amsterdam. I.S.G. Advani (Ed.).
44. Jack D.A., Smith D.E. The effect of fiber orientation closure approximations on mechanical property predictions. Compos. Part A: Appl. Sci. Manuf. 2007, 38:975-982.
45. Jack D.A., Smith D.E. Elastic properties of short-fiber polymer composites, derivation, and demonstration of analytical forms for expectation and variance from orientation tensors. J. Compos. Mater. 2008, 42:277-308.
46. Folgar F., Tucker III C.L. Orientation behavior of fibers in concentrated suspensions. J. Reinforced Plast. Compos. 1984, 3:98-119.
47. Bay R.S., Tucker III C.L. Fiber orientation in simple injection moldings. Part I.Theory and numerical methods. Polym. Compos. 1992, 13:317-331.
48. Bay R.S., Tucker III C.L. Fiber orientation in simple injection moldings. Part II. Experimental results. Polym. Compos. 1992, 13:332-342.
49. Ranganathan S., Advani S.G. Fiber-fiber interaction in homogeneous flows of nondilute suspensions. J. Rheol. 1991, 35:1499-1522.
50. Leal L.G., Hinch E.J. The effect of weak Brownian rotations on particles in shear flow. J. Fluid Mech. Digit. Arch. 1971, 46:685-703.
51. Anczurowski E., Mason S.G. The kinetics of owing dispersions. III. Equilibrium orientations of rods and discs (experimental). J. Colloids Interface Sci. 1967, 23:533-546.
52. Rahnama M., Koch D.L., Shaqfeh E.S.G. The effect of hydrodynamic interactions on the orientation distribution in a fiber suspension subject to simple shear flow. Phys. Fluids 1995, 7:487-506.
53. Fan X.J., Phan-Thien N., Zheng R. A direct simulation of fiber suspensions. J. Non-Newton. Fluid Mech. 1998, 74:113-135.
54. Phan-Thien N., Fan X.J., Tanner R.I., Zheng R. Folgar-Tucker constant for a fibre suspension in a Newtonian fluid. J. Non-Newton. Fluid Mech. 2002, 103:251-260.
55. Phelps J.H., Tucker III C.L. An anisotropic rotary diffusion model for fiber orientation in short- and long-fiber thermoplastics. J. Non-Newton. Fluid Mech. 2009, 156:165-176.
56. Koch D.L. A model for orientational diffusion in fiber suspensions. Phys. Fluids 1995, 7:2086-2088.
57. Wang J., O'Gara J.F., Tucker III C.L. An objective model for slowing orientation kinetics in concentrated fiber suspensions: theory and rheological evidence. J. Rheol. 2008, 52:1179-1200.
58. Cintra J.S., Tucker C.L. Orthotropic closure approximations for flow-induced fiber orientation. J. Rheol. 1995, 39:1095-1122.
59. Bay R.S. Fiber Orientation in Injection Molded Composites: A Comparison of Theory and Experiment 1991, University of Illinois Urbana-Champaign.
60. Ramazani S.A.A., Ait-Kadi A., Grmela M. Rheological modelling of short fiber thermoplastic composites. J. Non-Newton. Fluid Mech. 1997, 73:241-260.
61. Ait-Kadi A., Grmela M. Modelling the rheological behavior of fiber suspension in viscoelastic media. J. Non-Newton. Fluid Mech. 1994, 53:65-81.
62. Kirkwood J.G. Macromolecules. Documents in Modern Physics 1967, New York.
63. Hand G.L. A theory of anisotropic fluids. J. Fluid Mech. 1962, 13:33-46.
64. Maugin G.A., Drouot R. Internal variables and thermodynamics of macromolecule solutions. Int. J. Eng. Sci. 1983, 21:705-724.
65. Maugin G.A., Drouot R. Thermodynamic Modelling of Polymers in Solution in Constitutive Laws and Microstructures 1988, Springer-Verlag, Berlin.
66. Doi M., Ohta T. Dynamic and rheology of complex interfaces. J. Chem. Phys. 1991, 95:1242-1248.
67. Grmela M. Bracket formulation of dissipative fluid mechanics equations. Phys. Lett. 1984, 102A:355-358.
68. Grmela M. Bracket formulation of dissipative time evolution equations. Phys. Lett. 1985, A111:36-40.
69. Grmela M. Hamiltonian dynamics of incompressible elastic fluids. Phys. Lett. 1988, A130:81-86.
70. Grmela M. Hamiltonian mechanics of complex fluids. J. Phys. Lett. A: Math. Gen. 1989, 22:4375-4395.
71. Grmela M., Carreau P.J. Conformational tensor rheological models. J. Non-Newton. Fluid Mech. 1987, 23:271-294.
72. Bird R.B., DeAguiar J.R. An encapsulated dumbbell model for concentrated polymer solutions and melts. I. Theoretical development and constitutive equation. J. Non-Newton. Fluid Mech. 1983, 13:149-160.
73. Beris B.N., Edwards B.J. Thermodynamics of Flowing System 1994, Oxford University Press, New York.
74. Batchelor G.K. The stress generated in a non-dilute suspension of elongated particles by pure straining motion. J. Fluid Mech. 1971, 46:813-829.
75. Dinh S.M., Artmstrong R.C. A rheological equation of state for semi-concentrated fiber suspensions. J. Rheol. 1984, 28:207-227.
76. Kagarise C., Xu J., Wang Y., Mahboob M., Koelling K., Bechtel S. Transient shear rheology of carbon nanofiber/polystyrene melt composites. J. Non-Newton. Fluid Mech. 2010, 165:98-109.