Flow-driven orientation dynamics of semiflexible fiber systems

Rheologica Acta

Volumn 46, Issue 8, 2007, Pages 1057-1064

  Strautins, Uldis ^a   Latz, Arnulf ^a  

^a FRAUNHOFER INSTITUTE FOR INDUSTRIAL MATHEMATICS ITWM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); CHANNEL FLOW; DISTRIBUTION FUNCTIONS; EQUATIONS OF MOTION; METHOD OF MOMENTS; MONOMERS; SYNTHETIC FIBERS;

EID: 34748926433     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-007-0194-7     Document Type: Article

References (21)

1. Acrivos A, Shaqfeh ESG (1988) The effective thermal conductivity and elongational viscosity of a non-dilute suspension of aligned slender rods. Phys Fluids 31:1841-1844
2. Advani SG, Tucker CL III (1987) The use of tensors to describe and predict fiber orientation in short fiber composites. J Rheol 31:751-784
3. Advani SG, Tucker CL III (1990) Closure approximations for three-dimensional structure tensors. J Rheol 34:367-386
4. Chiba K, Ammar A, Chinesta F (2005) On the fiber orientation in steady recirculating flows involving short fibers suspensions. Rheol Acta 44:406-417
5. Doi M, Edwards SF (1986) The theory of polymer dynamics. Clarendon, Oxford
6. Folgar F, Tucker CL III (1984) Orientation behavior of fibers in concentrated suspensions. J Reinf Plast Compos 3:98-119
7. Giesekus H (1962) Elasto-viskose Flüssigkeiten, für die in stationären Schichtströmungen sämtliche Normalspannungskomponenten verschieden groß sind. Rheol Acta 2: 50-62
8. Gray CG, Gubbins KE (1984) Theory of molecular fluids, vol. 1. Clarendon, Oxford
9. Hinch EL, Leal LG (1976) Constitutive equations in suspension mechanics. Part II. J Fluid Mech 76:187-208
10. Jeffery GB (1922) The motion of ellipsoidal particles immersed in a viscious fluid. Proc Roy Soc London A 102:161-169
11. Joung CG, Phan-Tien N, Fan XJ (2001) Direct simulation of flexible fibers. J Non-Newton Fluid Mech 99(1):1-36
12. Kröger M (2004) Simple models for complex nonequilibrium fluids. Phys Rep 390:453-551
13. Letz M, Latz A (1999) Fluids of hard ellipsoids: Phase diagram including a nematic instability from Percus-Yevick theory. Phys Rev E 60:5865-5871
14. Megally A, Laure P, Coupez T, Vincent M (2004) Direct calculation of the motion of rigid fibres in a viscous fluid. AIP Conf Proc 712:271-275
15. Rahnama M, Koch DL, Shaqfeh ESG (1995) The effect of hydrodynamic interactions on the orientation distribution in a fiber suspension subject to simple shear flow. Phys Fluids 7(3):487-506
16. Rajabian M, Dubois C, Grmela M (2005) Suspensions of semiflexible fibers in polymeric fluids: Rheology and thermodynamics. Rheol Acta 44:521-535
17. Stockie JM, Green SI (1998) Simulating the motion of flexible pulp fibres using the immersed boundary method. J Comp Physiol 147(1):147-165
18. Tang WZ, Advani SG (2005) Dynamic of long flexible fibers in shear flow. Comput Model Eng Sci 8(2):165-176
19. Tornberg AK, Shelley M (2004) Simulating the dynamics and interactions of flexible fibers in Stokes flows. J Comp Phys 196:8-40
20. Verleye V, Dupret F (1993) Prediction of the fiber orientation in complex injection molded parts. Proceedings of the ASME '93 Winter Annual Meeting 175:139-163
21. Yamakawa H (1997) Helical wormlike chains in polymer solutions. Springer, Berlin