balloon-calc/notebooks/hotair-box.ipynb

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"## Hot air balloon - lift calculator\n",
"### Box shape\n"
]
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"# 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"
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"# 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⋅kg1⋅K1]\n",
" return 1000.0 * p / ( rSpec * tempK )"
]
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"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('''<style>\n",
"# .widget-label { min-width: 25ex !important; }\n",
"#</style>'''))\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"
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