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Orientation distribution of fibers and rheological property in fiber suspensions flowing in a turbulent boundary layer
  • ISSN号：0567-7718
  • 期刊名称：《力学学报：英文版》
  • 时间：0
  • 分类：O35[理学—流体力学;理学—力学]
  • 作者机构：[1]China Jiliang University, Hangzhou 310018, China, [2]Department of Mechanics, Zhejiang University,Hangzhou 310027, China, [3]Institute of Marine and Coastal Sciences, Rutgers University,New Brunswick, N J, USA
  • 相关基金：The project supported by the Major Program of National Natural Science Foundation of China （10632070）.
作者： Jian Zhong Lin, Ke Sun, Weifeng Zhang
关键词： 湍流纤维, 悬浮液, 纤维方向, 流变学, 边界, Turbulent fiber suspensions, Fiber orientation, Rheological property, Boundary layer, Numericalsimulation
中文摘要：

联系纤维的取向分发功能(ODF ) 的翻译、旋转的运输到吝啬的 ODF 和分散系数的坡度的一个模型被建议为 ODF 导出吝啬的方程。然后，纤维的 ODF 被数字地和狂暴的界面层流动的方程为 ODF 解决吝啬的方程预言。最后， shear 压力和纤维暂停的第一正常压力差别被获得。结果，其中一些同意可得到的相关试验性的数据，证明大多数纤维趋于到东方到流动方向。纤维方面比率和雷纳兹数字分别地在纤维的取向分发上有重要、可以忽略的效果。另外的正常压力由于纤维的存在是各向异性的。纤维暂停的 shear 压力比牛顿的溶剂的大，并且第一正常压力差别多不到 shear 压力。两另外砍应力和第一正常压力差别与增加纤维集中和减少的纤维方面比率增加。

英文摘要：

A model relating the translational and rotational transport of orientation distribution function （ODF） of fibers to the gradient of mean ODF and the dispersion coefficients is proposed to derive the mean equation for the ODE Then the ODF of fibers is predicted by numerically solving the mean equation for the ODF together with the equations of turbulent boundary layer flow. Finally the shear stress and first normal stress difference of fiber suspensions are obtained. The results, some of which agree with the available relevant experimental data, show that the most fibers tend to orient to the flow direction. The fiber aspect ratio and Reynolds number have significant and negligible effects on the orientation dis- tribution of fibers, respectively. The additional normal stress due to the presence of fibers is anisotropic. The shear stress of fiber suspension is larger than that of Newtonian solvent, and the first normal stress difference is much less than the shear stress. Both the additional shear stress and the first normal stress difference increase with increasing the fiber concentration and decreasing fiber aspect ratio.

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期刊信息
  • 《力学学报：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编：卢天健
  • 地址：北京市海淀区北四环西路15号
  • 邮编：100190
  • 邮箱：actams@cstam.org.cn
  • 电话：010-62536271
  • 国际标准刊号：ISSN：0567-7718
  • 国内统一刊号：ISSN：11-2063/O3
  • 邮发代号:2-703
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:352