拓扑方法在叶栅三元流场分析中的应用(Ⅰ)——表面摩擦力线和截面流线的拓扑法则
An Application of Topologicai Analysis to Studying the Three-Dimensional Flow in Cascades;Part Ⅰ——Topologicai Rules for Skin-Friction Lines and Section Streamlines
-
摘要: 文中基于Lighthill和Hunt等的工作,建立了适用于分析叶栅表面摩擦力线和截面流线图的拓扑法则.这些法则是:1)对于不带围带的动叶栅,每个节距范围内的表面摩擦力矢量场中的总结点数等于总鞍点数;2)对于叶片端部无间隙的环形叶栅或直列叶栅,每个节距内表面摩擦力矢量场中的总鞍点数比总结点数多两个;3)在叶栅横截面的二次流场中,总鞍点数比总结点数少一个;4)在贯穿流道的子午截面和前后缘截面上的截面流线矢量场中,总的结点数等于总的鞍点数;5)在叶栅跨叶片截面中,截面流线矢量场的总结点数比总鞍点数少一个.Abstract: Based on the working of Lighthill and Hunt et al., in the present paper the author has established the topological rules adapting to analysing the skin-friction lines and the section streamlines in cascades. These rules are(1) for a rotor cascade without shroud band, the total number of nodal points equals that the saddle points on the skin-friction line vector fields in eachpitch range;(2) for an annular or straight cascade with no-clearances at blade ends, the total number of saddle points is two more than that of nodal points on the skin-friction line fields in a pitch;(3) the total number of saddles in the secondary flow fields on cross-sections in cascade is one less than that of nodes;(4) in the section streamline vector fields on a meridian surface penetrating a flow passage, and on leading and trailing edge sections, the total number of nodes is equal to that of saddles;(5) on the streamline vector fields of a blade-to-blade surface, the total number of nodes is one less than that of saddles.
-
[1] Lighthill,M.J,Attachment and separation in three-dimensional Flow,Section two 2-6,Laminar Boundary Layers,Ed by Rosenhead,Oxford Univ.Press(1963),72-82. [2] Hunt,J.C.R.,C.J.Abelc,J.A.Peterka and H.Woo,Kinematical studies of the flows around free or surface mounted obstacles;applying topology to flow visualization,J.Fluid Mechanics,86,Part I(1978),179-200. [3] 秦元勋,《微分方程所定义的积分曲线》,上册(1959).
点击查看大图
计量
- 文章访问数: 1876
- HTML全文浏览量: 47
- PDF下载量: 701
- 被引次数: 0