{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Finite Wing Aerodynamics — Vortex Lattice Method\n", "## Level: Intermediate\n", "\n", "This notebook studies the aerodynamic behavior of finite wings using the\n", "Vortex Lattice Method (VLM). We examine how aspect ratio, taper ratio, and\n", "sweep angle affect lift, induced drag, and spanwise load distribution.\n", "\n", "### Topics covered\n", "- Finite wing geometry parameters (AR, taper, sweep, dihedral)\n", "- Induced drag and Oswald efficiency factor\n", "- Spanwise lift distribution\n", "- Effect of wing parameters on aerodynamic performance\n", "- Comparison with Prandtl's lifting-line theory\n", "\n", "### References\n", "- Prandtl, L., \"Applications of Modern Hydrodynamics to Aeronautics\", NACA TR-116, 1921\n", "- Katz, J. and Plotkin, A., *Low Speed Aerodynamics*, Cambridge, 2001\n", "- Bertin, J.J. and Cummings, R.M., *Aerodynamics for Engineers*, Pearson, 2014" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setting up environment...\n", "Current working directory: f:\\agodemar\\AeroDemonstrator\\notebooks\\02_finite_wing\n", "Resolved project root: f:\\agodemar\\AeroDemonstrator\n", "Using src path: f:\\agodemar\\AeroDemonstrator\\src\n", "Setup complete.\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import sys, os\n", "\n", "print(\"Setting up environment...\")\n", "print(f\"Current working directory: {os.getcwd()}\")\n", "\n", "# Resolve project root from this notebook location and add src/ to import path\n", "notebook_dir = os.getcwd()\n", "project_root = os.path.abspath(os.path.join(notebook_dir, \"..\", \"..\"))\n", "src_root = os.path.join(project_root, \"src\")\n", "\n", "print(f\"Resolved project root: {project_root}\")\n", "if not os.path.isdir(src_root):\n", " raise FileNotFoundError(f\"Could not find src directory at: {src_root}\")\n", "\n", "if src_root not in sys.path:\n", " sys.path.insert(0, src_root)\n", "\n", "print(f\"Using src path: {src_root}\")\n", "from aerodemo.vlm import WingGeometry, VortexLatticeMethod\n", "\n", "plt.rcParams.update({'figure.dpi': 100, 'axes.grid': True, 'grid.alpha': 0.3, 'font.size': 11})\n", "print(\"Setup complete.\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Wing Geometry Parameters\n", "\n", "A trapezoidal wing is defined by:\n", "- **Span** $b$: distance from tip to tip [m]\n", "- **Root chord** $c_r$: chord length at wing root [m]\n", "- **Tip chord** $c_t$: chord length at wing tip [m]\n", "- **Taper ratio** $\\lambda = c_t / c_r$\n", "- **Aspect ratio** $AR = b^2 / S$, where $S$ is reference area\n", "- **Sweep angle** $\\Lambda_{c/4}$: quarter-chord line sweep [degrees]\n", "- **Dihedral** $\\Gamma$: angle of wing from horizontal [degrees]\n", "\n", "The mean aerodynamic chord (MAC) for a trapezoidal wing:\n", "\n", "$$\\bar{c} = \\frac{2}{3} c_r \\frac{1 + \\lambda + \\lambda^2}{1 + \\lambda}$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Baseline Wing Properties:\n", " Span: b = 12.00 m\n", " Root chord: cr = 2.50 m\n", " Tip chord: ct = 1.25 m\n", " Taper ratio: λ = 0.500\n", " Reference area: S = 22.500 m²\n", " Aspect ratio: AR = 6.400\n", " MAC: c̄ = 1.944 m\n", " Sweep angle: Λ₁/₄ = 15.0°\n", " Dihedral: Γ = 3.0°\n" ] } ], "source": [ "# Define a baseline wing\n", "baseline_wing = WingGeometry(\n", " span=12.0,\n", " root_chord=2.5,\n", " tip_chord=1.25,\n", " sweep_angle=15.0,\n", " dihedral=3.0,\n", " n_spanwise=12,\n", " n_chordwise=4,\n", ")\n", "\n", "print(\"Baseline Wing Properties:\")\n", "print(f\" Span: b = {baseline_wing.span:.2f} m\")\n", "print(f\" Root chord: cr = {baseline_wing.root_chord:.2f} m\")\n", "print(f\" Tip chord: ct = {baseline_wing.tip_chord:.2f} m\")\n", "print(f\" Taper ratio: λ = {baseline_wing.taper_ratio:.3f}\")\n", "print(f\" Reference area: S = {baseline_wing.reference_area:.3f} m²\")\n", "print(f\" Aspect ratio: AR = {baseline_wing.aspect_ratio:.3f}\")\n", "print(f\" MAC: c̄ = {baseline_wing.mean_aerodynamic_chord:.3f} m\")\n", "print(f\" Sweep angle: Λ₁/₄ = {baseline_wing.sweep_angle:.1f}°\")\n", "print(f\" Dihedral: Γ = {baseline_wing.dihedral:.1f}°\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Lift Polar: CL vs. Alpha\n", "\n", "We solve the VLM at multiple angles of attack to build the lift curve." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vlm = VortexLatticeMethod(baseline_wing)\n", "alpha_range = np.linspace(-4, 14, 19)\n", "sweep_result = vlm.sweep_alpha(alpha_range)\n", "\n", "# Theoretical lift-curve slope for finite wing (Helmbold equation)\n", "AR = baseline_wing.aspect_ratio\n", "a0 = 2 * np.pi # thin-airfoil 2D slope\n", "a_fin = a0 / (1 + a0 / (np.pi * AR)) # Helmbold approximation\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 5))\n", "\n", "# CL vs alpha\n", "ax = axes[0]\n", "ax.plot(sweep_result['alpha'], sweep_result['CL'], 'bo-', linewidth=2, markersize=6, label='VLM')\n", "alpha_th = np.array([-4, 14])\n", "CL_th = a_fin * np.deg2rad(alpha_th)\n", "ax.plot(alpha_th, CL_th, 'r--', linewidth=1.5, label=f'Helmbold (a={np.rad2deg(a_fin):.3f}/rad)')\n", "ax.axhline(0, color='k', linewidth=0.5)\n", "ax.axvline(0, color='k', linewidth=0.5)\n", "ax.set_xlabel('α [deg]')\n", "ax.set_ylabel('$C_L$')\n", "ax.set_title('Lift Curve', fontweight='bold')\n", "ax.legend()\n", "\n", "# CDi vs CL² (induced drag polar)\n", "ax = axes[1]\n", "CL_arr = sweep_result['CL']\n", "CDi_arr = sweep_result['CDi']\n", "ax.plot(CL_arr**2, CDi_arr, 'gs-', linewidth=2, markersize=6, label='VLM')\n", "CL2_th = np.linspace(0, max(CL_arr)**2, 50)\n", "e_ideal = 1.0\n", "CDi_th = CL2_th / (np.pi * AR * e_ideal)\n", "ax.plot(CL2_th, CDi_th, 'r--', linewidth=1.5, label='Ideal elliptic (e=1)')\n", "ax.set_xlabel('$C_L^2$')\n", "ax.set_ylabel('$C_{Di}$')\n", "ax.set_title('Induced Drag Polar', fontweight='bold')\n", "ax.legend()\n", "\n", "# L/D ratio\n", "ax = axes[2]\n", "LoverD = sweep_result['CL_over_CDi']\n", "ax.plot(sweep_result['alpha'], LoverD, 'mo-', linewidth=2, markersize=6)\n", "ax.set_xlabel('α [deg]')\n", "ax.set_ylabel('$C_L / C_{Di}$')\n", "ax.set_title('Lift-to-Induced-Drag Ratio', fontweight='bold')\n", "\n", "plt.suptitle(f'VLM Results — Baseline Wing (AR={AR:.2f}, λ={baseline_wing.taper_ratio:.2f})',\n", " fontsize=13, fontweight='bold')\n", "plt.tight_layout()\n", "plt.savefig('vlm_polar.png', bbox_inches='tight', dpi=100)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Spanwise Lift Distribution\n", "\n", "The spanwise distribution of lift is a key indicator of structural load and\n", "aerodynamic efficiency. An elliptic distribution (ideal) minimizes induced drag.\n", "\n", "The local lift per unit span $l(y)$ normalized by $\\frac{1}{2}\\rho V^2 S$:\n", "\n", "$$c_l \\cdot c(y) = \\text{spanwise loading}$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Solve at a single alpha for detailed span loading\n", "result_5deg = vlm.solve(alpha_deg=5.0)\n", "y_st = result_5deg['y_stations']\n", "cl_dist = result_5deg['CL_distribution']\n", "\n", "# Elliptic distribution (reference)\n", "y_norm = y_st / (baseline_wing.span / 2)\n", "cl_elliptic = result_5deg['CL'] * np.sqrt(1 - y_norm**2) / (np.pi / 4)\n", "\n", "# Taper ratio effect\n", "wings_taper = {\n", " 'λ=1.0 (rect.)': WingGeometry(span=12, root_chord=1.875, tip_chord=1.875, n_spanwise=12),\n", " 'λ=0.5 (taper)': WingGeometry(span=12, root_chord=2.5, tip_chord=1.25, n_spanwise=12),\n", " 'λ=0.3': WingGeometry(span=12, root_chord=2.885, tip_chord=0.865, n_spanwise=12),\n", "}\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(13, 5))\n", "\n", "# Baseline spanwise distribution\n", "ax = axes[0]\n", "ax.plot(y_st / (baseline_wing.span / 2), cl_dist, 'bo-', linewidth=2,\n", " markersize=6, label='VLM (λ=0.5)')\n", "ax.plot(np.linspace(0, 1, 50),\n", " result_5deg['CL'] * np.sqrt(1 - np.linspace(0,1,50)**2) / (np.pi/4),\n", " 'r--', linewidth=2, label='Elliptic (ideal)')\n", "ax.set_xlabel('Spanwise position η = 2y/b')\n", "ax.set_ylabel('$c_l$')\n", "ax.set_title('Spanwise Lift Distribution (α=5°)', fontweight='bold')\n", "ax.legend()\n", "ax.set_xlim(0, 1)\n", "\n", "# Effect of taper ratio\n", "ax = axes[1]\n", "colors_tp = ['blue', 'green', 'orange']\n", "for (label, w), col in zip(wings_taper.items(), colors_tp):\n", " v = VortexLatticeMethod(w)\n", " r = v.solve(5.0)\n", " y_n = r['y_stations'] / (w.span / 2)\n", " ax.plot(y_n, r['CL_distribution'], color=col, linewidth=2, marker='o',\n", " markersize=4, label=label)\n", "y_ell = np.linspace(0, 1, 50)\n", "r_base = VortexLatticeMethod(wings_taper['λ=0.5 (taper)']).solve(5.0)\n", "ax.plot(y_ell, r_base['CL'] * np.sqrt(1 - y_ell**2) / (np.pi/4),\n", " 'k--', linewidth=1.5, label='Elliptic')\n", "ax.set_xlabel('η = 2y/b')\n", "ax.set_ylabel('$c_l$')\n", "ax.set_title('Effect of Taper Ratio on Span Loading', fontweight='bold')\n", "ax.legend()\n", "ax.set_xlim(0, 1)\n", "\n", "plt.tight_layout()\n", "plt.savefig('span_loading.png', bbox_inches='tight', dpi=100)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Effect of Aspect Ratio\n", "\n", "Higher aspect ratio wings are more aerodynamically efficient (lower induced drag)\n", "but are structurally heavier.\n", "\n", "$$C_{D_i} = \\frac{C_L^2}{\\pi A R \\, e}$$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aspect_ratios = [4, 6, 8, 10, 12]\n", "alpha_test = 5.0\n", "results_AR = {}\n", "\n", "for AR_val in aspect_ratios:\n", " # Maintain same reference area by adjusting span and chord\n", " S = 18.75 # fixed reference area\n", " b = np.sqrt(AR_val * S)\n", " c_root = 2 * S / (b * 1.5) # taper ratio = 0.5\n", " c_tip = 0.5 * c_root\n", " w = WingGeometry(span=b, root_chord=c_root, tip_chord=c_tip, n_spanwise=10)\n", " v = VortexLatticeMethod(w)\n", " r = v.solve(alpha_test)\n", " results_AR[AR_val] = r\n", "\n", "CL_vals = [results_AR[AR]['CL'] for AR in aspect_ratios]\n", "CDi_vals = [results_AR[AR]['CDi'] for AR in aspect_ratios]\n", "e_vals = [results_AR[AR]['e'] for AR in aspect_ratios]\n", "LD_vals = [c / d for c, d in zip(CL_vals, CDi_vals)]\n", "\n", "fig, axes = plt.subplots(2, 2, figsize=(12, 9))\n", "\n", "ax = axes[0, 0]\n", "ax.plot(aspect_ratios, CL_vals, 'bo-', linewidth=2, markersize=8)\n", "ax.set_xlabel('Aspect Ratio AR')\n", "ax.set_ylabel('$C_L$')\n", "ax.set_title(f'Lift Coefficient at α={alpha_test}°', fontweight='bold')\n", "\n", "ax = axes[0, 1]\n", "ax.plot(aspect_ratios, CDi_vals, 'rs-', linewidth=2, markersize=8)\n", "ax.set_xlabel('Aspect Ratio AR')\n", "ax.set_ylabel('$C_{Di}$')\n", "ax.set_title('Induced Drag Coefficient', fontweight='bold')\n", "\n", "ax = axes[1, 0]\n", "ax.plot(aspect_ratios, e_vals, 'gD-', linewidth=2, markersize=8)\n", "ax.axhline(1.0, color='k', linestyle='--', alpha=0.5, label='Ideal (e=1)')\n", "ax.set_xlabel('Aspect Ratio AR')\n", "ax.set_ylabel('Oswald efficiency $e$')\n", "ax.set_title('Oswald Efficiency Factor', fontweight='bold')\n", "ax.legend()\n", "\n", "ax = axes[1, 1]\n", "ax.plot(aspect_ratios, LD_vals, 'mv-', linewidth=2, markersize=8)\n", "ax.set_xlabel('Aspect Ratio AR')\n", "ax.set_ylabel('$C_L / C_{Di}$')\n", "ax.set_title('Lift-to-Induced-Drag Ratio', fontweight='bold')\n", "\n", "plt.suptitle(f'Effect of Aspect Ratio (α={alpha_test}°, λ=0.5)', fontsize=13, fontweight='bold')\n", "plt.tight_layout()\n", "plt.savefig('aspect_ratio_effects.png', bbox_inches='tight', dpi=100)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Summary\n", "\n", "In this notebook we have:\n", "1. Defined trapezoidal wing geometry using `WingGeometry`\n", "2. Applied the Vortex Lattice Method to compute lift and induced drag\n", "3. Studied spanwise load distribution and compared to elliptic ideal\n", "4. Quantified the effect of aspect ratio on aerodynamic efficiency\n", "\n", "### Key takeaways\n", "- Higher AR → higher $C_L$ slope, lower $C_{Di}$\n", "- Taper ratio ~0.4–0.5 approximates elliptic loading well\n", "- Induced drag dominates at low speeds (high $C_L$)\n", "\n", "### Next steps\n", "Proceed to `../03_wing_fuselage/wing_fuselage_openvsp.ipynb` for 3D modeling with OpenVSP." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.15" } }, "nbformat": 4, "nbformat_minor": 5 }