旋转环形截面弯管内粘性流动的摄动解  

The perturbation solutions of the flow in a rotating curved annular pipe

作　　者：章本照[1] 印建安[1] 苏霄燕[1] 张金锁[1] 

机构地区：[1]浙江大学力学系,杭州310027

出　　处：《空气动力学学报》2003年第2期129-136,共8页Acta Aerodynamica Sinica

基　　金：国家自然科学基金资助项目(批准号:10272096)

摘　　要：采用摄动方法求解了旋转环形截面弯管内的粘性流动,获得截面上轴向速度和二次流的二阶摄动解,系统地分析了主流速度、二次流动在科氏力和离心力共同作用下特性的变化情况;结果表明。当旋转方向和轴向速度方向相同时二次流强度将被加强;当旋转方向和轴向速度相反时,二次流涡结构变得复杂,环形截面上最多可出现八个涡,当科氏力和离心力之比F≈1.02时,二次流强度最弱。The combined effects of the system rotation (Coriolis force) and curvature (centrifugal force) on the flow in rotating curved annular pipe with small curvature are examined by perturbation method. A secondorder perturbation solution is presented. The secondary flow structure and the primary axial velocity distributions are studied in detail. The loops of the secondary flow are more complex than those in a curved pipe without rotation or a rotating straight pipe. Its numbers are depended on the body force ratio F which represents ratio of the Coriolis to the centrifugal force. The maximum of the axial velocity is pushed to either outer bend or inner bend, which is also determined by F. The results are confirmed by the results of other authors who studied the same problem by different method. 

关 键 词：旋转环形截面 弯管 粘性流动 摄动方法 二次流动 

分 类 号：O357[理学—流体力学]