平面定常跨声速等熵流动的分析(英文)

Analysis of steadytransonic isentropic flow in two-dimensions

首先提供了一个新的表达式,可将等熵流动方程变换为Cauchy-Riemann方程,并给出一个绕任意二维物体的亚声速流动的精确解。其次提供了另一个新的变换式,连同一个坐标变换式,便可把等熵流动方程变为双曲型方程,并获得了跨声速流动的精确解,而这两个解能使速度、压力及密度在声速线附近保持连续性。

Firstly, this paper presents a new expression which changes the isentropic flow equation into Cauchy- Riemann equation, and the exact solution of subsonic flow around an arbitrary two-dimensional body is obtained. Secondly, another new affine transformation is employed, with a coordinate transformation, to change the isentropic flow equation into the hyperbolic equation through the transformations. Therefore, an exact solution of transonic flow is obtained. And the two solutions make the variables of velocity, pressure and density contain continuity near the sonic line.