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Effect of frequency on periodic mixing performance in a square cavity |
Received:May 22, 2008 |
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DOI:10.7511/jslx20105019 |
KeyWord:periodic mixing chaotic mixing interface stretch Poincaré section self-similarity |
Author | Institution |
徐百平 |
华南理工大学 聚合物成型加工教育部重点实验室,广州 ;广东轻工职业技术学院 高分子材料加工工程技术开发中心,广州 |
冯彦洪 |
华南理工大学 聚合物成型加工教育部重点实验室,广州 |
瞿金平 |
华南理工大学 聚合物成型加工教育部重点实验室,广州 |
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Abstract: |
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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