航空学报 > 1994, Vol. 15 Issue (8): 968-970

轴对称流中音速线附近的特征线方程

钱翼稷1, H. Sobieczky2   

  1. 1. 北京航空航天大学流体力学研究所,北京,100083;2. 德国宇航院
  • 收稿日期:1992-10-10 修回日期:1993-10-13 出版日期:1994-08-25 发布日期:1994-08-25

CHARACTERISTIC EQUATION NEAR THE SONIC LINE OF AXISYMMETRIC FLOW

Qian Yiji1, H. Sobieczky2   

  1. 1. Insitute of Fluid Mechanics, Beijing University of Aeronautics and Astronantics,Beijng,100083;2. Deutsche Forschungs-und Versuchsanstalt for Luft-und Raumfahrt
  • Received:1992-10-10 Revised:1993-10-13 Online:1994-08-25 Published:1994-08-25

摘要: 从Oswatitsch的无粘、跨音速、轴对称无旋流的基本方程出发,在细长体条件下,通过新变量将物理面上的运动方程变成形式简单的速度面方程。利用音速线附近条件对速度面方程进行积分,可得解析解;由此可按Courant理论推导出音速线附近的特征线方程,结果表明,特征线有两族,均为2/3次幂曲线,其数学形式与平面流相同。

关键词: 轴对称流, 跨音速流, 特征方程

Abstract: Under the assumption of slender body,starting from Oswatitschs non-viscous transonic axisymmetric irrotational basic equation,the motion equation of physical plane is transferred to hodograph equation in simpler form by new variables.Then,the latter is integrated by the conditions in the vicinity of the sonic line and the analytic solution can be acquired. And then,a characteristic equation in the vicinity of the sonic line is derived by Courant’s theo- ry,which is an analytic expression. It indicates that there are two families of characteristics and they are all curves of 2/ 3 power.

Key words: axisymmetric flow, transonic flow, characteristic equations

中图分类号: