{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plane Graphs Example\n", "\n", "This example demonstrates how to use flight-mech to plot the polar and thrust-velocity graphs of a plane." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Python imports\n", "import os\n", "import sys\n", "sys.path.append(\"..\")\n", "\n", "# Additional imports\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Flight-Mech imports\n", "from flight_mech.plane import Plane" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plane definition\n", "\n", "Let us use in this case the Cessna Citation III defined in the database." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Load the plane\n", "plane = Plane(\"cessna_citation_III\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Polar Graph\n", "\n", "We can now set the $C_{L\\alpha}$ coefficient which is missing in this model and plot the polar graph." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set the missing lift coefficient\n", "plane.C_L_alpha = np.pi\n", "\n", "# Plot the polar graph\n", "plane.plot_polar_graph()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Thrust-Velocity graph\n", "The thrust-velocity graph can be generated for a given list of altitude. It allows to visualize at which velocities the plane can fly for the given thrust." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\Users\\paulc\\Documents\\Projets\\Flight-Mechanics-Calculator\\examples\\..\\flight_mech\\plane.py:1207: RuntimeWarning: divide by zero encountered in divide\n", " T_array = self.P / self.f(alpha_array)\n", "c:\\Users\\paulc\\Documents\\Projets\\Flight-Mechanics-Calculator\\examples\\..\\flight_mech\\plane.py:302: RuntimeWarning: divide by zero encountered in divide\n", " v = np.sqrt(self.P / (.5 * rho * self.S * self.C_L(alpha)))\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the thrust speed graph at several altitudes\n", "plane.plot_gliding_TV_graph([0, 3000, 6000, 9000, 13000])" ] } ], "metadata": { "kernelspec": { "display_name": "venv", "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": "3.10.4" } }, "nbformat": 4, "nbformat_minor": 2 }