Mechanics & Civil Engineering |
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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.
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Received: 10 February 2007
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