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复杂流场中单纤维动力学计算的一种新算法
  • 期刊名称:力学与实践
  • 时间:0
  • 页码:20-23
  • 语言:中文
  • 分类:O363[理学—流体力学;理学—力学]
  • 作者机构:[1]郑州大学橡塑模具国家工程研究中心,郑州450002
  • 相关基金:国家自然科学基金(10872186)和河南省杰出青年基金(0612002000)项目资助.
  • 相关项目:注塑模CAE软件Z-MOLD的集成化研究
中文摘要:

悬浮液中纤维的运动和旋转行为在许多现代工业领域都非常重要.Jeffery解析得到了牛顿流中椭球型纤维的动力学演化方程,但方程只有在平面简单剪切和拉伸流的条件下才有解析解.采用数值求解时,由于方程中cotθ的存在会出现奇异性.采用随体坐标的方法,消除了方程的奇异性,算法的有效性通过与解析解的比较得到了验证,并为复杂流场下纤维的动力学数值计算提供了一个可行的方法.

英文摘要:

The translational and rotational dynamics of fibers suspended in a fluid medium are important in many different fields of modem technology. Jeffery derived an equation of motion for a single rigid ellipsoidal particle suspended in Newtonian fluids. Unfortunately, the analytical solutions of Jeffery equation could only be obtained in a simple planar shear flow and a planar elongational flow. The main difficulty in the numerical treatment of Jeffery equation is the singularity due to the term cot θ. In this paper, a co-rotational coordinate system is proposed, which can completely eliminates this singularity. The validity of the proposed scheme is shown by a comparison between numerical results and the analytical solution. New algorithm can easily be extended to simulate the dynamics of single fiber in complex flow fields.

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