{ "cells": [ { "cell_type": "markdown", "id": "33295fc3-e98b-4c17-bca0-366c3a80c9c8", "metadata": { "extensions": { "jupyter_dashboards": { "activeView": "grid_default", "views": { "grid_default": { "col": 0, "height": 1, "hidden": false, "row": 0, "width": 1 } } } }, "tags": [] }, "source": [ "## Hot air balloon - lift calculator\n", "### Box shape\n" ] }, { "cell_type": "code", "execution_count": 86, "id": "6ea87a15-f571-4611-8487-5b7556e2ef45", "metadata": { "extensions": { "jupyter_dashboards": { "activeView": "grid_default", "views": { "grid_default": { "col": null, "height": 2, "hidden": true, "row": null, "width": 2 } } } } }, "outputs": [], "source": [ "# https://pythreejs.readthedocs.io\n", "from pythreejs import *\n", "from IPython.display import HTML,display\n", "from math import pi\n", "\n", "# https://ipywidgets.readthedocs.io\n", "import ipywidgets as widgets\n", "from ipywidgets import Layout\n", "\n", "# https://pypi.org/project/termcolor/\n", "from termcolor import colored\n", "\n", "#from scipy.interpolate import interp1d\n", "#import numpy as np" ] }, { "cell_type": "code", "execution_count": 87, "id": "d075a994-76bb-46f7-bdfb-cc6ef449dc43", "metadata": { "extensions": { "jupyter_dashboards": { "activeView": "grid_default", "views": { "grid_default": { "col": null, "height": 2, "hidden": true, "row": null, "width": 2 } } } } }, "outputs": [], "source": [ "# air density–temperature relationship at 1 atm or 101.325 kPa\n", "# https://en.wikipedia.org/wiki/Density_of_air\n", "# https://www.engineersedge.com/calculators/air-density.htm\n", "# temp in st.C density in g/m3\n", "\n", "#temp = [-25,-20,-15,-10,-5,0,5,10,15,20,25,30,35]\n", "#dens = [1422.4,1394.3,1367.3,1341.3,1316.3,1292.2,1269.0,1246.6,1225.0,1204.1,1183.9,1164.4,1145.5]\n", "#dens_temp_func = interp1d(temp, dens)\n", "\n", "\n", "def airDensity(temp=0.0):\n", " tempK = temp + 273.0 # absolute temperature [K]\n", " p = 101325.0 # pressure [Pa]\n", " rSpec = 287.0500676 # specific gas constant for dry air [J⋅kg−1⋅K−1]\n", " return 1000.0 * p / ( rSpec * tempK )" ] }, { "cell_type": "code", "execution_count": null, "id": "2f3b63fd-d5ea-40b6-a2f9-b31c84cfef36", "metadata": { "extensions": { "jupyter_dashboards": { "activeView": "grid_default", "views": { "grid_default": { "col": null, "height": 2, "hidden": true, "row": null, "width": 2 } } } } }, "outputs": [], "source": [ "def f(width,height,depth,airTemp,hotAirTemp,coatDens):\n", " print(\"\\n\")\n", "# Volume\n", " volume = width * height * depth\n", " print( \"Volume: {:.2f} [m3]\".format(volume)) \n", "# Area\n", " area = 2 * (width * height + width * depth + height * depth)\n", " print( \"Area: {:.2f} [m2]\".format(area)) \n", "# Coating density 300g / 4x5m = 15g/m2\n", "# coatingDensity = 15.0\n", "# print( \"Coating density: {:.2f} [g/m2]\".format(coatingDensity)) \n", " coatingWeight = coatDens * area\n", " print( \"Coating weight: {:.2f} [g]\".format(coatingWeight)) \n", "# Lift per volume g/m3 \n", "# airDens = dens_temp_func( airTemp )\n", "# hotAirDens = dens_temp_func( hotAirTemp ) \n", " airDens = airDensity( airTemp )\n", " hotAirDens = airDensity( hotAirTemp ) \n", " lift = airDens - hotAirDens\n", " print( \"Lift: {:.2f} [g/m3]\".format(lift)) \n", "# Total lift force lift * volume \n", " totalLiftForce = lift * volume\n", " print( \"Total lift force: {:.2f} [g]\".format(totalLiftForce)) \n", "# Free lift force totalLiftForce - coatingWeight \n", " freeLiftForce = totalLiftForce - coatingWeight\n", " if freeLiftForce < 0:\n", " color = 'red'\n", " else:\n", " color = None\n", " print( \"Free lift force:\", colored(\"{:.2f} [g]\".format(freeLiftForce),color)) \n", " print(\"\\n\")\n", "\n", " box = Mesh(geometry=BoxBufferGeometry(\n", " width=width, \n", " height=height, \n", " depth=depth,\n", " widthSegments=5, \n", " heightSegments=10,\n", " depthSegments=15),\n", " material=MeshLambertMaterial(color='gray')\n", " )\n", " keyLight = DirectionalLight(color='white', position=[3, 5, 1], intensity=0.5)\n", "\n", " c = PerspectiveCamera(position=[2, 2, 5], up=[0, 1, 0], children=[keyLight])\n", "\n", " scene = Scene(children=[box, c, AmbientLight(color='#777777')], background=None)\n", "\n", " renderer = Renderer(camera=c,\n", " scene=scene,\n", " alpha=True,\n", " clearOpacity=1.0,\n", " clearColor='#62a0ea',\n", " controls=[OrbitControls(controlling=c)])\n", " return renderer\n", "\n", "#display(HTML(''''''))\n", "\n", "layout=Layout(width='500px')\n", "style = {'description_width': 'initial'}\n", " \n", "widgets.interact(f, \n", " width=widgets.FloatSlider(min=0.1, max=5.0, step=0.1, value=2.0, description='Width [m]:',readout_format='.1f',layout=layout,style=style), \n", " height=widgets.FloatSlider(min=0.1, max=5.0, step=0.1, value=2.0, description='Height [m]:',readout_format='.1f',layout=layout,style=style), \n", " depth=widgets.FloatSlider(min=0.1, max=5.0, step=0.1, value=2.0, description='Depth [m]:',readout_format='.1f',layout=layout,style=style),\n", " airTemp=widgets.FloatSlider(min=-40, max=35, step=1.0, value=10.0, description='Air temp.[°C]:',readout_format='.0f',layout=layout,style=style), \n", " hotAirTemp=widgets.FloatSlider(min=-40, max=55, step=1.0, value=35.0, description='Hot air temp.[°C]:',readout_format='.0f',layout=layout,style=style),\n", " coatDens=widgets.FloatSlider(min=1, max=50, step=1.0, value=15.0, description='Coating density [g/m2]:',readout_format='.0f',layout=layout,style=style) \n", " );\n" ] } ], "metadata": { "extensions": { "jupyter_dashboards": { "activeView": "grid_default", "version": 1, "views": { "grid_default": { "cellMargin": 2, "defaultCellHeight": 60, "maxColumns": 12, "name": "grid", "type": "grid" } } } }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.2" } }, "nbformat": 4, "nbformat_minor": 5 }