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cfd-lab:~/zh/tools/shock-polar-visualizeronline
$ cd ..

Shock Polar 可视化

由 Mach 数与偏转角可视化 theta-beta-M 曲线、弱/强斜激波解和脱体极限。

shock
visual calculator可压缩流动

先看流动形态,再相信数字。

该工具把 CFD 设置转换为工况、尺度和主导效应提示。调节下方计算器,观察动态图与计算结果如何一起变化。

01
输入尺度
02
模型
03
判断
compressibleshock polaroblique shocktheta-beta-Mvisualization
公式
KaTeX rendered
tan(theta) = 2 cot(beta) (M1ˆ2 sinˆ2(beta) - 1) / [M1ˆ2 (gamma + cos(2 beta)) + 2]\begin{aligned}\text{tan(theta) = 2 cot(beta) (M1\^{}2 sin\^{}2(beta) - 1) / [M1\^{}2 (gamma + cos(2 beta)) + 2]}\end{aligned}
ASCII sourcetan(theta) = 2 cot(beta) (M1^2 sin^2(beta) - 1) / [M1^2 (gamma + cos(2 beta)) + 2]
Theta-beta-M shock mapweak and strong attached-shock branches081725332440577390beta (deg)theta (deg)detached regiontheta=12.0 degsupersonic inflowcompression cornerweakstrong
theta max (deg)
29.80
Mach angle (deg)
23.58
weak beta (deg)
33.80
strong beta (deg)
84.61
weak M2
2.002
strong M2
0.539
weak p2/p1
2.090
detachment margin
17.80 deg

The curve follows the theta-beta-M relation for attached oblique shocks. When the requested turn angle exceeds theta max, the attached solution disappears and a detached bow shock is expected.