Effects of Tensor Closure Models and 3-D Orientation on the Stability of Fiber Suspensions in a Channel Flow

YOU Zhen-jiang; LIN Jian-zhong

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(3): 281-286

YOU Zhen-jiang, LIN Jian-zhong. Effects of Tensor Closure Models and 3-D Orientation on the Stability of Fiber Suspensions in a Channel Flow[J]. Applied Mathematics and Mechanics, 2005, 26(3): 281-286.

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Effects of Tensor Closure Models and 3-D Orientation on the Stability of Fiber Suspensions in a Channel Flow

Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China

Received Date: 2003-10-09
Rev Recd Date: 2004-11-27
Publish Date: 2005-03-15

Abstract

Abstract

Three different kinds of closure model of fiber orientation tensors were applied to simulate numerically the hydrodynamic stability of fiber suspensions in a channel flow. The effects of closure models and three-dimensional (3-D) orientation distribution of fibers on the results of stability analysis were examined. It is found that the relationship of the behavior in hydrodynamic stability and the parameter of the fiber given by all the three models are the same. However, the attenuation of flow instability is most distinct using 3-D hybrid model because the orientation of the fiber departures from the flow direction, and least apparent using its 2-D counterpart for that the fibers show a tendency towards alignment with the flow direction in this case.
- fiber suspension,
- hydrodynamic stability,
- channel flow,
- closure model,
- fiber orientation

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References(17)

References

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