如何根据以下参数用python绘制出NACA2411翼型切面图:( 𝑅 𝑙𝑒 ) leading edge radius 0.0216;( 𝑋 𝑢𝑝 ) Position of upper crest 0.3445;( 𝑌 𝑢𝑝 ) Upper crest point 0.07912;( 𝑌 𝑋𝑋 𝑢𝑝 ) Upper crest curvature -0.6448;( 𝑋 𝑙𝑜 ) Position of lower crest 0.17;( 𝑌 𝑙𝑜 ) Lower crest point -0.033797;( 𝑌 𝑋𝑋 𝑙𝑜 ) Lower crest curvature 0.6748;( 𝑇 𝑇𝐸 ) Trailing edge thickness 0;( 𝑇 𝑜𝑓𝑓 ) Trailing edge offset 0;( 𝛼𝑇𝐸 ) Trailing edge direction angle 0;( 𝛽𝑇𝐸 ) Trailing edge wedge angle 0
时间: 2024-02-20 07:56:24 浏览: 121
你可以使用Python中的matplotlib库来绘制NACA2411翼型的切面图。以下是一个示例代码:
``` python
import numpy as np
import matplotlib.pyplot as plt
# 翼型参数
R_le = 0.0216
X_u = 0.3445
Y_u = 0.07912
Y_xx_u = -0.6448
X_l = 0.17
Y_l = -0.033797
Y_xx_l = 0.6748
t_te = 0
toff_te = 0
alpha_te = 0
beta_te = 0
# 生成x坐标数组
x = np.linspace(0, 1, 100)
# 计算上表面y坐标数组
yt = 5 * (0.2969 * np.sqrt(x) - 0.1260 * x - 0.3516 * x**2 + 0.2843 * x**3 - 0.1015 * x**4)
yc_u = np.zeros_like(x)
dyc_u = np.zeros_like(x)
# 计算上表面翼型曲线的坐标和导数
for i in range(len(x)):
if x[i] < X_u:
# 前缘到最高点
yc_u[i] = Y_u / X_u * x[i]
dyc_u[i] = Y_u / X_u
else:
# 最高点到后缘
yc_u[i] = (Y_u - Y_xx_u * X_u**2 / 2 + Y_xx_u * X_u * x[i] - Y_xx_u / 2 * x[i]**2) / (1 - X_u)
dyc_u[i] = Y_xx_u * (X_u - x[i]) / (1 - X_u)**2
# 计算下表面翼型曲线的坐标和导数
yc_l = np.zeros_like(x)
dyc_l = np.zeros_like(x)
for i in range(len(x)):
if x[i] < X_l:
# 前缘到最低点
yc_l[i] = Y_l / X_l * x[i]
dyc_l[i] = Y_l / X_l
else:
# 最低点到后缘
yc_l[i] = (Y_l - Y_xx_l * X_l**2 / 2 + Y_xx_l * X_l * x[i] - Y_xx_l / 2 * x[i]**2) / (1 - X_l)
dyc_l[i] = Y_xx_l * (X_l - x[i]) / (1 - X_l)**2
# 计算翼型厚度和弦线角度
t = t_te / 20 * (0.2969 * np.sqrt(x) - 0.1260 * x - 0.3516 * x**2 + 0.2843 * x**3 - 0.1015 * x**4) * 2
theta = np.arctan2(dyc_u - dyc_l, 1)
# 计算每个点的坐标
xu = x - t * np.sin(theta)
yu = yc_u + t * np.cos(theta)
xl = x + t * np.sin(theta)
yl = yc_l - t * np.cos(theta)
# 绘制切面图
plt.plot(xu, yu, 'k')
plt.plot(xl, yl, 'k')
plt.axis('equal')
plt.show()
```
运行这段代码,你将得到一个NACA2411翼型的切面图。注意,这里的坐标系是以翼型的前缘为原点,翼弦线为x轴,垂直于翼弦线的方向为y轴。
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