旋转弯管内粘性流动特性的研究

The Characteristic of the Flow in a Rotating Curved Pipe

基于工业上的应用 ,本文利用摄动方法求解了小曲率旋转弯管内的粘性流动 ,系统地分析了主流速度、二次流动、流量和摩擦力在科氏力 (Coriolisforce)和离心力共同作用下特性的变化情况 ;结果表明由于旋转的效应 ,旋转弯管内的流动状况较弯管内的流动状况复杂 ;同时还发现当科氏力和离心力之比F ≈- 1 2 2时 ,二次流强度最弱 ,此时该流动近似为非旋转直管内的流动 (Poiseuille流 )。

The combined effects of the system rotation (Coriolis force) and curvature (centrifugal force) on the flow in rotating curved circular 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 depend on the body force ratio F which represents the ratio of the Coriolis force 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.