张量封闭模型与三维取向分布对纤维悬浮槽流稳定性的影响

游振江; 林建忠

张量封闭模型与三维取向分布对纤维悬浮槽流稳定性的影响

浙江大学力学系,流体传动及控制国家重点实验室, 杭州 310027

基金项目: 国家自然科学基金资助项目(10372090)

详细信息

作者简介:
游振江(1976- ),男,湖北襄樊人,博士;林建忠(联系人.Tel:+86-571-87952882;Fax:+86-571-87951464;E-mail:jzlin@sfp.zju.edu.cn).

中图分类号: O373
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出版历程
- 收稿日期: 2003-10-09
- 修回日期: 2004-11-27
- 刊出日期: 2005-03-15

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

摘要

摘要: 应用3种不同的纤维方向张量封闭模型，数值模拟了纤维悬浮槽流的流动稳定性问题，从而研究封闭模型和纤维的三维取向分布对稳定性分析的影响．结果发现，采用3种不同封闭模型所得到的流动稳定特性与纤维参数之间的关系是相同的，但采用三维混合封闭模型时，由于纤维的取向与流向的偏差程度较大，所以纤维对流动的不稳定性具有最强的抑制作用．而采用二维混合封闭模型时，由于纤维在平面取向条件下，其轴线整体上趋于呈流向排列，使得对流体的作用削弱，导致纤维对流动不稳定性抑制的作用最弱．
- 纤维悬浮流 /
- 流动稳定性 /
- 槽流 /
- 封闭模型 /
- 纤维取向
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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参考文献(17)

[1]	Arranaga A B. Friction reduction characteristics of fibrous and colloidal substances[J].Nature,1970,225(9):447—449. doi: 10.1038/225447a0
[2]	Mansour A R. Simple and explicit equations for the friction factor in turbulent fiber suspension flow[J].J Non-Newtonian Fluid Mech,1985,17(2):245—247. doi: 10.1016/0377-0257(85)80018-5
[3]	Nsom B. Computation of drag reduction in fiber suspensions[J].Fluid Dynamics Research,1994,14(5):275—288. doi: 10.1016/0169-5983(94)90036-1
[4]	Pilipenko V N, Kalinichenko N M, Lemak A S. Stability of the flow of a fiber suspension in the gap between coaxial cylinders[J].Sov Phys Dokl,1981,26(7):646—648.
[5]	Azaiez J. Reduction of free shear flows instability: Effects of polymer versus fibre additives[J].J Non-Newtonian Fluid Mech,2000,91(2/3):233—254. doi: 10.1016/S0377-0257(99)00106-8
[6]	Azaiez J. Stability of the mixing layer of fiber suspensions: role of the closure approximation and off-plane orientation[J].J Non-Newtonian Fluid Mech,2000,95(2/3): 253—276. doi: 10.1016/S0377-0257(00)00166-X
[7]	LIN Jian-zhong,YOU Zhen-jiang.Stability in channel flow with fiber suspensions[J].Progress in Natural Science,2003,11(2):95—99.
[8]	YOU Zhen-jiang，LIN Jian-zhong.Stability in the circular pipe flow of fiber suspensions[J].J of Hydrodynamics,2003,15(2):12—18.
[9]	林建忠，游振江.纤维悬浮槽流空间模式稳定性分析[J].应用数学和力学，2003,24(8):771—778.
[10]	Hinch E J, Leal L G. Constitutive equations in suspension mechanics. Part 2. Approximate forms for a suspension of rigid particles affected by Brownian rotations[J].J Fluid Mech,1976,76(2):187—208. doi: 10.1017/S0022112076003200
[11]	Koch D L. A model for orientational diffusion in fiber suspensions[J].Phys Fluids,1995,7(8):2086—2088. doi: 10.1063/1.868455
[12]	Folgar F P, Tucker C L. Orientation behaviour of rigid fibres in concentrated suspensions[J].J Rheol,1982,26(6):604—614.
[13]	Verieye V, Dupret F. Prediction of fiber orientation in complex injection molded parts[A].In: Angel Y C Ed.ASME, Applied Mechanics Division[C].New York: Academic Press, 1993, 139—163.
[14]	Cintra J S, Tucker C L. Orthotropic closure approximations for flow-induced fiber orientation[J].J Rheol,1995,39(6):1095—1122. doi: 10.1122/1.550630
[15]	Advani S G, Tucker C L. The use of tensors to describe and predict fiber orientation in short fiber composites[J].J Rheol, 1987,31(8):751—784. doi: 10.1122/1.549945
[16]	Batchelor G K. The stress generated in a non-dilute suspension of elongated particles by pure straining motion[J].J Fluid Mech,1971,46(8):813—829. doi: 10.1017/S0022112071000879
[17]	Shaqfeh E S G, Fredrickson G H. The hydrodynamic stress in a suspension of rods[J].Phys Fluids,1990,2(1):7—24.

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张量封闭模型与三维取向分布对纤维悬浮槽流稳定性的影响

作者简介:
游振江(1976- ),男,湖北襄樊人,博士;林建忠(联系人.Tel:+86-571-87952882;Fax:+86-571-87951464;E-mail:jzlin@sfp.zju.edu.cn).

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

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张量封闭模型与三维取向分布对纤维悬浮槽流稳定性的影响

作者简介: 游振江(1976- ),男,湖北襄樊人,博士;林建忠(联系人.Tel:+86-571-87952882;Fax:+86-571-87951464;E-mail:jzlin@sfp.zju.edu.cn).

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出版历程

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

计量

出版历程

目录

作者简介:
游振江(1976- ),男,湖北襄樊人,博士;林建忠(联系人.Tel:+86-571-87952882;Fax:+86-571-87951464;E-mail:jzlin@sfp.zju.edu.cn).