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环形截面小曲率弯管内粘性流动的摄动解
引用本文:章本照 张金锁 陈华军 常华章. 环形截面小曲率弯管内粘性流动的摄动解[J]. 浙江大学学报(工学版), 2001, 35(3): 342-346
作者姓名:章本照 张金锁 陈华军 常华章
作者单位:章本照(浙江大学 力学系,浙江 杭州 310027)      张金锁(浙江大学 力学系,浙江 杭州 310027)      陈华军(浙江大学 力学系,浙江 杭州 310027)      常华章(浙江大学 力学系,浙江 杭州 310027)
摘    要:以曲率为小参数,采用摄动方法求解了小曲率环形截面弯管内的粘性流动,得到该问题的二阶摄动解,研究了Dean数和环形截面内外径之比对二次流动和轴向主流速度的影响.结果表明:环形截面上的二次流动和主流速度的分布不仅受Dean数的影响,而且内外径对流动情况的影响也是显著的.

关 键 词:曲线管道 二次流动 摄动解
文章编号:1008-973X(2001)03-0342-05
修稿时间:1999-07-12

perturbation solution of the flow in curved annular pipe with small curvature
ZHANG Ben|zhao,ZHANG Jin|suo,CHEN Hua|jun,CHANG Hua|zhang,. perturbation solution of the flow in curved annular pipe with small curvature[J]. Journal of Zhejiang University(Engineering Science), 2001, 35(3): 342-346
Authors:ZHANG Ben|zhao  ZHANG Jin|suo  CHEN Hua|jun  CHANG Hua|zhang  
Abstract:The fully developed laminar flow in curved annular duct is analyzed by perturbation method. A second order perturbation solution is obtained. The secondary flow and the axial velocity are discussed in detail. The study indicates that there are four vortices in the annular cross-section and these vortices are affected not only by the ?% number but also the radius ratio. As ?% number increases, the maximum of the axial velocity and the centers of the vortexes near the inner circle is pushed to the outer side bend. The intensity of the vortex near the inner circle becomes stronger as the inner radius increases.
Keywords:flow in curved duct  secondary flow  perturbation solution
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