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| Three-dimensional instability analysis of an annular swirling viscous liquid sheet |
| Received:July 07, 2011 Revised:December 20, 2011 |
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| DOI：10.7511/jslx20126014 |
| KeyWord:an annular swirling viscous liquid sheet solid vortex swirl profile three-dimensional instability dispersion relation |
| Author | Institution |
| 阎凯 |
北京交通大学 机械与电子控制工程学院, 北京 |
| 宁智 |
北京交通大学 机械与电子控制工程学院, 北京 |
| 吕明 |
北京交通大学 机械与电子控制工程学院, 北京 |
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| Abstract: |
| The effect of liquid viscosity on an annular swirling viscous liquid sheet is studied with linear instability analysis.An analytical form of dispersion relation is derived,which depicts an annular swirling viscous liquid sheet with solid vortex swirl velocity profile subjected to three-dimensional disturbances.The spatial mode instability analysis of an annular swirling viscous liquid sheet for para-sinuous mode and para-varicose mode is carried out.The results show that,in the para-sinuous mode,the maximum growth rate decrease fast and the domain frequency of axisymmetric mode dump when the liquid viscosity exceed a value,the range of unstable wave number of axisymmetric mode decrease and the range of instability wave number decease first and increase secondly with the increase of liquid viscosity.In the para-varicose mode,the liquid viscosity affects the maximum growth rate of non-axisymmetric mode,the domain frequency of non-axisymmetric mode and the range of unstable wave number decease fast when the liquid viscosity exceed a value. |
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