计算力学学报2012，Vol.29Issue(6)：893-900,8.
圆环旋转粘性液膜射流三维不稳定性研究
Three-dimensional instability analysis of an annular swirling viscous liquid sheet
摘要
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 insta- bility 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.关键词
圆环旋转粘性液膜射流/固体旋涡型速度分布/三维不稳定性/色散方程Key words
an annular swirling viscous liquid sheet/solid vortex swirl profile/three-dimensionalinstability/dispersion relation分类
数理科学引用本文复制引用
阎凯,宁智,吕明..圆环旋转粘性液膜射流三维不稳定性研究[J].计算力学学报,2012,29(6):893-900,8.基金项目
国家自然基金（50876007 （）
51276011） （）
北京市自然科学基金（3102024）资助项目. （）
