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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2007, Vol. 8 Issue (7): 1021-1025    DOI: 10.1631/jzus.2007.A1021
Mechanics & Civil Engineering     
Research on 3D fiber orientation distribution in arbitrary planar flows
ZHOU Kun, LIN Jian-zhong
State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; China Jiliang University, Hangzhou 310018, China
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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.

Key words： Fiber suspension flow      Jeffery orbit      Fiber orientation distribution     
Received: 10 February 2007     
CLC:  O359  
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ZHOU Kun
LIN Jian-zhong
Cite this article:

ZHOU Kun, LIN Jian-zhong. Research on 3D fiber orientation distribution in arbitrary planar flows. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(7): 1021-1025.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2007.A1021     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2007/V8/I7/1021

[1] 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 (Applied Physics & Engineering), 2005, 6( 4): 2-.