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| 引用本文： | 刘春太,武向南,陶沈健,赵振峰.?????????е?????????????????????[J].力学与实践,2009,31(1):20-23. |
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| 作者姓名： | 刘春太 武向南 陶沈健 赵振峰 |
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| 作者单位： | 郑州大学橡塑模具国家工程研究中心 |
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| 基金项目： | 国家自然科学基金(10872186);;河南省杰出青年基金(0612002000)项目资助 |
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| 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$\cot \theta $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.
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| 关 键 词： | 纤维动力学 复杂流场 随体坐标系 |
| 收稿时间： | 2008-1-4 |
| 修稿时间： | 2008-6-21 |
A NEW METHOD TO SIMULATE THE DYNAMICS OF SINGLE FIBER IN COMPLEX FLOW FIELDS |
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| LIU Chuntai
,
WU Xiangnan
,
TAO Shenjian
,
ZHAO Zhenfeng.A NEW METHOD TO SIMULATE THE DYNAMICS OF SINGLE FIBER IN COMPLEX FLOW FIELDS[J].Mechanics and Engineering,2009,31(1):20-23. |
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| Authors: | LIU Chuntai WU Xiangnan TAO Shenjian ZHAO Zhenfeng |
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| Affiliation: | NERC of APPT;Zhengzhou University;Zhengzhou 450002;China |
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| Abstract: | 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 \theta $. 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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| Keywords: | Dynamics of fiber co-rotational coordinate system complex flow fields |
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