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.
Based on the working of Lighthill and Hunt et al., in the present paper the author has estblished the topological rules adapting to analysing the skin-friction lines and the section strearmlines in cascades. These rules are ( 1 ) for a rotor cascade without shroud band, the total numtber of nodal points equals that of- saddle points on the skin-friction line vector fields in each pitch range, ( 2 ) for an annular' of 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 ou 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.
出处
《应用数学和力学》
CSCD
北大核心
1990年第5期457-462,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目
