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ZHOU Kun, LIN Jian-zhong. Research on the behavior of fiber orientation probability distribution function in the planar flows[J]. Journal of Zhejiang University Science A, 2005, 6(4): 257-264.

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author="ZHOU Kun, LIN Jian-zhong",

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pages="257-264",

year="2005",

publisher="Zhejiang University Press & Springer",

doi="10.1631/jzus.2005.A0257"

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T1 - Research on the behavior of fiber orientation probability distribution function in the planar flows

A1 - ZHOU Kun

A1 - LIN Jian-zhong

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VL - 6

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SP - 257

EP - 264

%@ 1673-565X

Y1 - 2005

PB - Zhejiang University Press & Springer

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DOI - 10.1631/jzus.2005.A0257

**Abstract: **The equation of two-dimensional fiber direction vector was solved theoretically to give the fiber orientation distri-bution in simple shear flow, flow with two direction shears, extensional flow and arbitrary planar incompressible flow. The Fok-ker-Planck equation was solved numerically to validify the theoretical solutions. The stable orientation and orientation period of fiber were obtained. The results showed that the fiber orientation distribution is dependent on the relative not absolute magnitude of the matrix rate-of-strain of flow. The effect of fiber aspect ratio on the orientation distribution of fiber is insignificant in most conditions except the simple shear case. It was proved that the results for a planar flow could be generalized to the case of 3-D fiber direction vector.

**
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Open peer comments: Debate/Discuss/Question/Opinion

<1>aihua xiong@nanchang<aihuaok2004@163.com>2012-08-23 10:53:25

thank you