serie 01 and 02

Kuengjoe_S01/Kuengjoe_S2_Aufg1.py

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+
+import numpy as np
+import matplotlib.pyplot as plt
+from matplotlib import cm
+from mpl_toolkits.mplot3d import Axes3D
+
+
+#a): Die Reichweite W erreicht ihr Maximum bei einem Winkel alpha = 45 Grad.
+
+g = 9.81
+
+v0_values = np.linspace(0, 100)
+alpha_deg_values = np.linspace(0, 90)
+
+[v0_grid, alpha_deg_grid] = np.meshgrid(v0_values, alpha_deg_values)
+alpha_rad_grid = np.deg2rad(alpha_deg_grid)
+
+W = (v0_grid**2) * np.sin(2 * alpha_rad_grid) / g
+
+
+fig = plt.figure(0)
+cont = plt.contour(v0_grid, alpha_deg_grid, W, cmap=cm.coolwarm)
+fig.colorbar(cont, shrink=0.5, aspect=5)
+plt.title('Wurfweite W(v0, α) – Höhenlinien')
+plt.xlabel('v0 [m/s]')
+plt.ylabel('α [deg]')
+plt.show()
+
+
+fig = plt.figure(1)
+ax = fig.add_subplot(111, projection='3d')
+surf = ax.plot_surface(v0_grid, alpha_deg_grid, W, cmap=cm.coolwarm, linewidth=0, antialiased=False)
+fig.colorbar(surf, shrink=0.5, aspect=5)
+plt.title('Wurfweite W(v0, α) – Oberfläche')
+ax.set_xlabel('v0 [m/s]')
+ax.set_ylabel('α [deg]')
+ax.set_zlabel('W [m]')
+plt.show()
+
+
+fig = plt.figure(2)
+ax = fig.add_subplot(111, projection='3d')
+ax.plot_wireframe(v0_grid, alpha_deg_grid, W, rstride=5, cstride=5)
+plt.title('Wurfweite W(v0, α) – Gitter')
+ax.set_xlabel('v0 [m/s]')
+ax.set_ylabel('α [deg]')
+ax.set_zlabel('W [m]')
+plt.show()
+
+
+
+R = 8.31
+
+
+V_values = np.linspace(1e-6, 0.2)
+T_values = np.linspace(0, 1e4)
+
+[V_grid, T_grid] = np.meshgrid(V_values, T_values)
+p = R * T_grid / V_grid
+
+fig = plt.figure(3)
+cont = plt.contour(V_grid, T_grid, p, cmap=cm.coolwarm)
+fig.colorbar(cont, shrink=0.5, aspect=5)
+plt.title('p(V, T) = R T / V – Höhenlinien')
+plt.xlabel('V [m^3]')
+plt.ylabel('T [K]')
+plt.show()
+
+
+fig = plt.figure(4)
+ax = fig.add_subplot(111, projection='3d')
+surf = ax.plot_surface(V_grid, T_grid, p, cmap=cm.coolwarm, linewidth=0, antialiased=False)
+fig.colorbar(surf, shrink=0.5, aspect=5)
+plt.title('p(V, T) = R T / V – Oberfläche')
+ax.set_xlabel('V [m^3]')
+ax.set_ylabel('T [K]')
+ax.set_zlabel('p [N/m^2]')
+plt.show()
+
+fig = plt.figure(5)
+ax = fig.add_subplot(111, projection='3d')
+ax.plot_wireframe(V_grid, T_grid, p, rstride=5, cstride=5)
+plt.title('p(V, T) = R T / V – Gitter')
+ax.set_xlabel('V [m^3]')
+ax.set_ylabel('T [K]')
+ax.set_zlabel('p [N/m^2]')
+plt.show()
+
+
+# 2)
+p_values = np.linspace(1e4, 1e5)
+T_values = np.linspace(0, 1e4)
+
+[p_grid, T_grid] = np.meshgrid(p_values, T_values)
+V = R * T_grid / p_grid
+
+
+fig = plt.figure(6)
+cont = plt.contour(p_grid, T_grid, V, cmap=cm.coolwarm)
+fig.colorbar(cont, shrink=0.5, aspect=5)
+plt.title('V(p, T) = R T / p – Höhenlinien')
+plt.xlabel('p [N/m^2]')
+plt.ylabel('T [K]')
+plt.show()
+
+
+fig = plt.figure(7)
+ax = fig.add_subplot(111, projection='3d')
+surf = ax.plot_surface(p_grid, T_grid, V, cmap=cm.coolwarm, linewidth=0, antialiased=False)
+fig.colorbar(surf, shrink=0.5, aspect=5)
+plt.title('V(p, T) = R T / p – Oberfläche')
+ax.set_xlabel('p [N/m^2]')
+ax.set_ylabel('T [K]')
+ax.set_zlabel('V [m^3]')
+plt.show()
+
+
+fig = plt.figure(8)
+ax = fig.add_subplot(111, projection='3d')
+ax.plot_wireframe(p_grid, T_grid, V, rstride=5, cstride=5)
+plt.title('V(p, T) = R T / p – Gitter')
+ax.set_xlabel('p [N/m^2]')
+ax.set_ylabel('T [K]')
+ax.set_zlabel('V [m^3]')
+plt.show()
+
+
+# 3)
+p_values = np.linspace(1e4, 1e6)
+V_values = np.linspace(0, 10)
+
+[p_grid, V_grid] = np.meshgrid(p_values, V_values)
+T = (p_grid * V_grid) / R
+
+
+fig = plt.figure(9)
+cont = plt.contour(p_grid, V_grid, T, cmap=cm.coolwarm)
+fig.colorbar(cont, shrink=0.5, aspect=5)
+plt.title('T(p, V) = p V / R – Höhenlinien')
+plt.xlabel('p [N/m^2]')
+plt.ylabel('V [m^3]')
+plt.show()
+
+fig = plt.figure(10)
+ax = fig.add_subplot(111, projection='3d')
+surf = ax.plot_surface(p_grid, V_grid, T, cmap=cm.coolwarm, linewidth=0, antialiased=False)
+fig.colorbar(surf, shrink=0.5, aspect=5)
+plt.title('T(p, V) = p V / R – Oberfläche')
+ax.set_xlabel('p [N/m^2]')
+ax.set_ylabel('V [m^3]')
+ax.set_zlabel('T [K]')
+plt.show()
+
+
+fig = plt.figure(11)
+ax = fig.add_subplot(111, projection='3d')
+ax.plot_wireframe(p_grid, V_grid, T, rstride=5, cstride=5)
+plt.title('T(p, V) = p V / R – Gitter')
+ax.set_xlabel('p [N/m^2]')
+ax.set_ylabel('V [m^3]')
+ax.set_zlabel('T [K]')
+plt.show()