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CLC number: O359

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Received: 2007-02-10

Revision Accepted: 2007-05-08

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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.7 P.1021~1025

http://doi.org/10.1631/jzus.2007.A1021


Research on 3D fiber orientation distribution in arbitrary planar flows


Author(s):  ZHOU Kun, LIN Jian-zhong

Affiliation(s):  State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   jeteaime@zju.edu.cn, mecjzlin@public.zju.edu.cn

Key Words:  Fiber suspension flow, Jeffery orbit, Fiber orientation distribution


ZHOU Kun, LIN Jian-zhong. Research on 3D fiber orientation distribution in arbitrary planar flows[J]. Journal of Zhejiang University Science A, 2007, 8(7): 1021~1025.

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author="ZHOU Kun, LIN Jian-zhong",
journal="Journal of Zhejiang University Science A",
volume="8",
number="7",
pages="1021~1025",
year="2007",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2007.A1021"
}

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%A LIN Jian-zhong
%J Journal of Zhejiang University SCIENCE A
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%P 1021~1025
%@ 1673-565X
%D 2007
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2007.A1021

TY - JOUR
T1 - Research on 3D fiber orientation distribution in arbitrary planar flows
A1 - ZHOU Kun
A1 - LIN Jian-zhong
J0 - Journal of Zhejiang University Science A
VL - 8
IS - 7
SP - 1021
EP - 1025
%@ 1673-565X
Y1 - 2007
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2007.A1021


Abstract: 
A non-stretchable fiber rotation in planar flows has been solved. The fiber will rotate periodically or run to the asymptotical direction decided by a discriminant defined in the paper involving the fiber aspect ratio and the flow characteristics. Subsequently the fiber orientation distribution is derived directly without the bother of solving the Fokker-Planck equation. The research clearly indicates the overall configuration of a fiber rotation movement in planar flows.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Batchelor, G.K., 1970a. The stress system in a suspension of force-free particles. J. Fluid Mech., 41(3):545-570.

[2] Batchelor, G.K., 1970b. Slender-body theory for particles of arbitrary cross-section in Stokes flow. J. Fluid Mech., 44(3):419-440.

[3] Batchelor, G.K., 1971. The stress generated in a non-dilute suspension of elongated particles by pure straining motion. J. Fluid Mech., 46(4):813-229.

[4] Bretherton, F.P., 1962. The motion of rigid particles in a shear flow at low Reynolds number. J. Fluid Mech., 14(2):284-304.

[5] Courant, R., Hilbert, D., 1966. Method of Mathematical Physics, Volume II: Partial Differential Equations. Interscience Publishers, New York.

[6] Jeffery, G.B., 1922. The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. London A, 102:161-179.

[7] Lin, J.Z., Zhang, W.F., Wang, Y.L., 2002. Research on the orientation distribution of fibers immersed in a pipe flow. J. Zhejiang Univ. Sci., 3(5):501-506.

[8] Szeri, A.J., Leal, L.G., 1992. A new computational method for the solution of flow problems of microstructured fluids. Part 1. Theory. J. Fluid Mech., 242:549-576.

[9] Zhang, L.X., Lin, J.Z., 2003. On the structural features of fiber suspensions in converging channel flow. J. Zhejiang Univ. Sci., 4(4):400-406.

[10] Zhang, L.X., Lin, J.Z., Chan, T.L., 2005. Orientation distribution of cylindrical particles suspended in a turbulent pipe flow. Phys. Fluids, 17(9):093105-1-093105-8.

[11] Zhou, K., Lin, J.Z., 2005. Research on the behavior of fiber orientation probability distribution function in the planar flows. J. Zhejiang Univ. Sci., 6A(4):257-264.

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