高亚声速二维风洞收缩段的设计  

A Design for Contraction Sections of Two-Dimensional High-Subsonic Wind Tunnels

作　　者：吴寿荣[1] 

机构地区：[1]中国科学技术大学,安徽合肥230026

出　　处：《空气动力学学报》1993年第1期64-72,共9页Acta Aerodynamica Sinica

摘　　要：本文提供了一个仿射变换式,它将亚声速位势方程精确变换成Laplace方程。应用这个理论,本文给出了一个设计二维高亚声速风洞收缩段的精确方法。在马赫数为0.9时,求得的收缩段形状曲线与由计算机提供的位势方程数值解相比较,二者极为符合。此外本方法计算简单,精度高,并具有广阔的应用范围。The direct and inverse problems of incompressible potential subsonic flow around a two-dimensional body are solved using a method of conformal transformation. In this paper we shall derive an exact expression which changes the potential subsonic equation into Laplacian eqution through an affine transformation. Then, this theory is applied to a design for contraction sections of two-dimensional high-subsonic wind tunnels,Compared with the numerical solution of potential equation proposed by computer, the agreement between the formula and the numerical solution at Mach numbers 0.9 for curved profile of the contraction section is very good. On the analytical side, this paper derives a new method and an exact solution to this design. Meanwhile, the exact solution is useful for testing the validity and range of application fo such approximate methods as the Karman-Tsien rule and the numerical solution of subsonic potential relation. In addition to its wider scope of application, the method proves to be accurate. It can yield systematic results and needs less computation.

关 键 词：高亚声速流 仿射变换 风洞 

分 类 号：V211.74[航空宇航科学与技术—航空宇航推进理论与工程]