超声速半球形多孔探针大气脱体激波仿真研究

In order to study the variation law of the shape and stand-off distance of the detached shock wave generated by the hemispherical porous probe with the Mach number under supersonic atmospheric conditions, the CFD method is used to simulate the atmospheric environment, and numerical simulation experiments are carried out in the Mach number range of 1.2 - 1.7. The functional relationships between the eccentricity of the shock wave curve, the stand-off distance, the radius of curvature and the Mach number are obtained by using the hyperbolic shock wave shape display method and the least square method fitting, and the parametric equation of the detached shock wave curve is established. Comparing the parametric equation with the simulation results and the empirical formula, the results show that the parametric equation is in extremely good agreement with the simulation results and has a high accuracy near the sphere. The difference in the stand-off distance predicted by the parametric equation and the empirical formula does not exceed 5% of the sphere radius.

为研究半球形多孔探针在超声速大气条件下产生脱体激波的形状和脱体距离随马赫数变化规律,采用CFD方法模拟大气环境,在1.2 ~ 1.7马赫数范围内进行数值仿真实验,用双曲线激波形状展示法和最小二乘法拟合得到了激波曲线离心率、脱体距离、曲率半径与马赫数间的函数关系,建立了脱体激波曲线参数化方程。将参数化方程与仿真结果和经验公式比较,结果证明,该参数化方程与仿真结果极为相符,且在距离球体较近处精度较高。参数化方程与经验公式预测的脱体距离差值不超过球体半径的5%。