分离流和涡运动横截面流态的拓扑

为表片分离流和涡运动的空间特征，实验和计算多给出各横截面上流态。本文给出了横截面流态的拓扑规则，它们是：物体截面轮廓线上半奇点的分布规则；横截面流态奇点数的拓扑规则；Ｐｏｉｎｃａｒｅ指数判定表面纵向分离起始和终结的原则；物面坡度为正时，截面对称线上奇点数目的规则。

Crossflow Topology of Three Dimensional Separated Flows and Vortex Motion

In experimental as well as computational studies,the vortex structure in the flow fields over the body is often examined on the cross section perpendicular to the body axis. On such planes, the projected or sectional streamlines are always exhibited crossflow pattern.In this paper some new topological rules of the cross flows are presented.They are: 1. The distribution rule of the semi-singular point at the intersection line between the body surface and its cross section. 2. The rule of total singular point number for sectional streamlines on the cross section. 3. The poincare's index criterion for the flow over the body with or without longitudinal separation. 4. The rule of singular point number at the sytmmetric line of the cross section.In addtion, NS equations are solved for tile flows over the bluntcone and Apollo-like spaceship, The toplogical structures of the cross flow arc drawn by numerical results. The comparison between calculated results and conclusions obtained by above topological rules show that the agreement is very good, and the topological rules are very useful to explore the flow structures.