Journal of Zhejiang University SCIENCE
(ISSN 1009-3095, Monthly)

2003   Vol. 4   No. 4   p.400-406


On the structural features of fiber suspensions in converging channel flow

LIN Jian-zhong(林建忠)(Department of Mechanics, Zhejiang University, Hangzhou 310027, China)
ZHANG Ling-xin(张凌新)(Department of Mechanics, Zhejiang University, Hangzhou 310027, China)

Abstract:The structural features of fiber suspensions are dependent on the fiber alignment in the flows. In this work the orientation distribution function and orientation tensors for semi-concentrated fiber suspensions in converging channel flow were calculated, and the evolutions of the fiber alignment and the bulk effective viscosity were analyzed. The results showed that the bulk stress and the effective viscosity were functions of the rate-of-strain tensor and the fiber orientation state; and that the fiber suspensions evolved to steady alignment and tended to concentrate to some preferred directions close to but not same as the directions of local streamlines. The bulk effective viscosity depended on the product of Reynolds number and time. The decrease of effective viscosity near the boundary benefited the increase of the rate of flow. Finally when the fiber alignment went into steady state, the structural features of fiber suspensions were not dependent on the Reynolds number but on the converging channel angle.
Keywords:Fiber suspensions, Orientation distribution, Effective viscosity, Converging channel flow

CLC Number:O359 Document ID:A

Foundation Item:Projects(No.19925210) supported by the National National Natrual Science Foundation of China
Author Resume:ZHANG Ling-xin(张凌新),E-mail: aling@zju.edu.cn

References:

[1]Advani, S.G. and Tucker, C.L., 1987. The use of tensors to describe and predict fiber orientation in short fiber composites. J. Rheol., 31(8):751-784.
[2]Altan, M.C., Advani, S.G., Guceri, S.I. and Pipes, R.B., 1989. On the description of the orientation state for fiber suspensions in homogeneous flows. J. Rheol., 33(7):1129-1155.
[3]Batchelor, G.K., 1970. The stress system in a suspension of force-free particles. J. Fluid Mech., 41:545-570.
[4]Chiba, K. and Nakamura, K., 1998. Numerical solution of fiber suspension flow through a complex channel. J. Non-Newtonian Fluid Mech.,78(2-3):167-185.
[5]Dinh, S.G. and Armstrong, R.C., 1984. A rheological equation of state for semi-concentrated fiber suspensions. J. Rheol., 28(3):207-227.
[6]Folgar, F.P. and Tucker, C.L., 1984. Orientation behavior of fibers in concentrated suspensions. J. Reinf. Plast. Compos., 3:98-119.
[7]Givler, R.C., Crochet, M.J. and Pipes, R.B., 1983. Numerical prediction of fiber orientation in dilute suspensions. J. Compos. Mat., 17:330-343.
[8]Grosso, M., Dupret, F. and Maffettone P.L., 2000. A closure approximation for nematic liquid crystals based on the canonical distribution subspace theory. Rheologica ACTA, 39(3): 301-310.
[9]Jackson, W.C., Advani, S.G. and Tucker, C.L., 1986. Predicting the orientation of short fibers in thin compression moldings. J. Compos. Mat., 20:539-557.
[10]Lin, J.Z., Liu, Z.Q. and Wang, Y.L., 2000. Research on motion characteristics of fiber suspensions in a wedge-shaped flow. J. Hydrodynamics, 12(2):92-100.
[11]Mackaplow, M.B. and Shaqfeh E.S.G., 1996. A numerical study of the rheological properties of suspensions of rigid, non-Brownian fibers. J.Fluid Mech., 329:155-186.
[12]Prager, S., 1957. Stress-strain relations in a suspension of dumbbells. Trans. Soc. Rheology, 1:53-62.
[13]Shanker, RAVI, Gillespie, J.W. and Guceri, S.I., 1991. On the effect of nonhomogeneous flow fields on the orientation distribution and rheology. Polymer Engineering and Science, 31(3):161-171.
[14]Shaqfeh, E.S.G. and Fredrickson, G.H., 1990. The hydrodynamic stress in a suspension of rods. Phys. Fluids, A2(1):7-24.


Manuscript Received: 2002 June 16

Manuscript Revised: 2002 July 28

Published: 2003 Aug. 30