feat: add rss

2026_Earth_System_Science/lab2/lab2.md

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+# Lab 2
+
+Joaquin Gottlebe Mtrklnr.: 829101
+
+![](velocities_.png)
+
+![](velocity_table_.png)
+
+As expected the Human fall and rain drop has the fastest velocity followed by magma, mantle and slab.
+The model asumed a sphere as the object which is a simplification and doesnt fit complex shapes like a Human or the Magma which is more a cilinder.
+This is also noticable in the Raynolds numbers which are >1 for rain drop and human. Which indicates that the model is not suitable for these.
+For the others its under 1 so could be passable. But still a simplification.
+

2026_Earth_System_Science/lab2/script.py

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+import math
+import matplotlib.pyplot as plt
+
+def calculation(what, rho_f, rho_s, g, a, mu):
+    """
+    rho_f Medium density: kg/m³
+    rho_s Object density: kg/m³
+    g Gravity: m/s²
+    a Radius: m
+    mu Viscosity of medium: Pa·s    
+    """
+    U_ms = abs(2 * (rho_f - rho_s) * g * a**2 / (9 * mu))
+    U_kmh = U_ms * 3.6
+    U_cmyr = U_ms * 100 * 60 * 60 * 24 * 365.25
+    Re = rho_f * U_ms * (2 * a) / mu
+
+    return [what, f"{mu:.1e}", f"{a:.2e}", f"{U_ms:.3e}", f"{U_kmh:.3e}", f"{U_cmyr:.3e}", f"{Re:.3e}"]
+
+# Original objects
+objects = [
+    calculation("Subducted slab", 3300, 3400, 9.81, 100e3, 1e21),
+    calculation("Mantle plume", 3300, 3250, 9.81, 50e3, 1e20),
+    calculation("Magma through crust", 2700, 2600, 9.81, 10, 1e3),
+    calculation("Rain drop", 1.2, 1000, 9.81, 0.001, 1.8e5),
+    calculation("Human fall", 1.2, 1000, 9.81, 0.5, 1.8e5)
+]
+
+# _becca version with slightly different inputs
+objects_becca = [
+    calculation("Subducted slab", 3300, 3350, 9.81, 120e3, 1.1e21),
+    calculation("Mantle plume", 3300, 3280, 9.81, 55e3, 9e19),
+    calculation("Magma through crust", 2700, 2620, 9.81, 12, 1.2e3),
+    calculation("Rain drop", 1.2, 1020, 9.81, 0.002, 2e5),
+    calculation("Human fall", 1.2, 980, 9.81, 0.6, 2e5)
+]
+
+# Column labels
+columns = ["Object", "Viscosity (Pa·s)", "Radius (m)", "Velocity (m/s)", "Velocity (km/h)", "Velocity (cm/yr)", "Reynolds number"]
+
+def create_table_and_plot(objects, filename_suffix, color):
+    # Table
+    fig, ax = plt.subplots(figsize=(12, 3))
+    ax.axis('off')  # Hide axes
+    table = ax.table(cellText=objects, colLabels=columns, cellLoc='center', loc='center')
+    table.auto_set_font_size(False)
+    table.set_fontsize(10)
+    table.auto_set_column_width(col=list(range(len(columns))))
+    plt.tight_layout()
+    plt.savefig(f"velocity_table_{filename_suffix}.png", dpi=300)
+    plt.show()
+
+    # Bar plot (exactly like original)
+    names = [obj[0] for obj in objects]
+    U_ms = [obj[3] for obj in objects]
+    U_kmh = [obj[4] for obj in objects]
+    U_cmyr = [obj[5] for obj in objects]
+
+    plt.figure(figsize=(10,6))
+    plt.bar(names, U_ms, color=color)
+    plt.ylabel("Velocity (m/s)")
+    plt.title(f"Comparison of Velocities")
+    plt.xticks(rotation=45, ha='right')
+    plt.tight_layout()
+    plt.savefig(f"velocities_{filename_suffix}.png", dpi=300)
+    plt.show()
+
+# Generate outputs for both students
+create_table_and_plot(objects, "", 'skyblue')
+create_table_and_plot(objects_becca, "becca", 'green')