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| 方腔内周期性混沌混合模拟表征 | |
| 引用本文： | 徐百平,田红侠,宋健,冯彦洪,谢芳,彭响方.方腔内周期性混沌混合模拟表征[J].广东轻工职业技术学院学报,2007,6(2):5-9. |
| 作者姓名： | 徐百平 田红侠 宋健 冯彦洪 谢芳 彭响方 |
| 作者单位： | 1. 广东轻工职业技术学院,轻化工程系,广东,广州,510300 2. 广东轻工职业技术学院,科研处,广东,广州,510300 3. 华南理工大学,聚合物新型成型装备国家工程研究中心,广东,广州,510640 |
| 摘 要： | 基于Galerkin方法,得到了方腔内高粘度流体盖振动拖动下瞬时速度场解析解.建立了混合过程动力学方程,确定了合适的积分步长,采用了4阶Runge-Kutta方法进行示踪剂数值积分追踪,对方腔内周期性混沌混合进行了模拟表征.结果表明,流场表现出对初始位置敏感性,不同的位置临界时间不同.示踪剂粒子运动表现出随机性,几乎游历了整个方腔.Poincaré截面没有发现大尺度KAM岛的存在,说明混沌是遍布方腔的,但粒子在空间存在某种分布特性.示踪剂界面的几何演化图像及界面拉伸分析表明,界面增长随时间呈指数规律变化,在经过一定的时间后,不同初始位置的示踪剂界面拉伸表现出自相似和渐近特性. |
| 关 键 词： | 混沌混合 周期性 界面拉伸 Poincaré 截面 自相似 |
| 文章编号： | 1672-1950（2007）02-005-05 |
| 修稿时间： | 2007-05-06 |
Simulation and Characterization of Periodically Chaotic Mixing in a Square Cavity |
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| XU Baiping,TIAN Hongxia,SONG Jian,FENG Yanhong,XIE Fang,PENG Xiangfang.Simulation and Characterization of Periodically Chaotic Mixing in a Square Cavity[J].Journal of Guangdong Industry Technical College,2007,6(2):5-9. | |
| Authors: | XU Baiping TIAN Hongxia SONG Jian FENG Yanhong XIE Fang PENG Xiangfang |
| Institution: | 1. Chemical Engineering Deparment of of Guangdong Industry Technical Colloge, Guangzhou 510300, China 2. Science and Technology Division of Guangdong Industry Technology Colloge, Guangzhou 510300, China 3. National Engineering Center of Novel Equipment for Polymer Processing of South China University of Technology, Guangzhou 510640, China |
| Abstract: | Based on Galerkin Method, the analytical solution of the transient velocity field is obtained of high viscious fluid in the square cavity driven by the vibration motion of upper and bottom lids. The dynamics equation is proposed and the periodic chaotic mixing in the square cavity is characterized adopting the front tracking of passive tracer numerically integrated by fourth order Runge-Kutta scheme after the proper timestep is determined. The resuits reveal that the the flow field is sensitive to the initial positions of particales but with different critical time. The motion of tracer particles behavors a certain random characteristics and experiences almost all of the whole cavity. No large scale of KAM islands are found in the Poincare sections confirming the chaotic mixing is all over the cavity and some distribtuion property of the points are also detected. The evolution picture of tracer interfaces and its stretches reveal that the growth increases exponetially with time and after a certain time the self-similarity and asymptoticality are attained. |
| Keywords: | chaotic mixing periodicity interface stretch Poincare section self-similarity |
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