| 徐百平,冯彦洪,瞿金平.频率对方腔内周期性混合行为的影响[J].计算力学学报,2010,27(5):856~861 |
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| 频率对方腔内周期性混合行为的影响 |
| Effect of frequency on periodic mixing performance in a square cavity |
| 投稿时间：2008-05-22 |
| DOI：10.7511/jslx20105019 |
| 中文关键词: 周期性混合 混沌混合 界面拉伸 Poincaré 截面 自相似 |
| 英文关键词:periodic mixing chaotic mixing interface stretch Poincaré section self-similarity |
| 基金项目:聚合物成型加工工程教育部重点实验室开放课题(20061002);广东轻工职业技术学院自然科学基金(200902);广东省自然科学基金(10151030007000001)资助项目. |
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| 中文摘要: |
| 基于涡量-速度法,得到了方腔内高粘度流体上下盖振动拖动作用下瞬时速度场数值解,采用4阶Runge-Kutta方法对示踪剂的界面形变进行数值积分追踪。结果表明,当振动频率为0.1 Hz,方腔内将发生混沌混合,当频率增加到0.5 Hz时,混合过程演变为常规的层流混合过程。混合过程Poincaré截面对比揭示了频率对KAM岛尺度影响。混沌混合经过一定的时间后,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。 |
| 英文摘要: |
| Based on vortex-velocity Method, the numerical 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 deformation of the tracer is numerically integrated by the fourth order Runge-Kutta scheme. The results show that when frequency is kept at 0.1Hz, the chaotic mixing will occur in the cavity. While the frequency is increased up to 0.5 Hz from 0.1 Hz , the regular laminar mixing is substitued for the chaotic mixing. The contrasts of Poincaré sections account for the effect of the frequency on the scales of KAM islands. During chaotic mixing process, the tracers from different initial positions are advected for a certain time, the interface stretchs reveal the properties of self-similarity and asymptoticality. |
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