299 wiersze
9.4 KiB
Plaintext
299 wiersze
9.4 KiB
Plaintext
{
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},
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"tags": []
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},
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"source": [
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"## Hot air balloon - lift calculator\n",
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"### Inverted pyramid shape\n",
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"[Source code](https://gitea.citizen4.eu/sp9unb/balloon-calc) \n",
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"\n",
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"[Run in mybinder.org IDE](https://mybinder.org/v2/git/https%3A%2F%2Fgitea.citizen4.eu%2Fsp9unb%2Fballoon-calc/HEAD?labpath=work%2Fhotair-pyramid.ipynb) "
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"cell_type": "code",
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"execution_count": 1,
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"id": "6ea87a15-f571-4611-8487-5b7556e2ef45",
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"metadata": {
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"col": null,
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"height": 2,
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"hidden": true,
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"row": null,
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"width": 2
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}
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}
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}
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}
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},
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"outputs": [],
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"source": [
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"# https://pythreejs.readthedocs.io\n",
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"from pythreejs import *\n",
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"from IPython.display import HTML,display\n",
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"from math import pi\n",
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"\n",
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"# https://ipywidgets.readthedocs.io\n",
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"import ipywidgets as widgets\n",
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"from ipywidgets import Layout\n",
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"\n",
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"# https://pypi.org/project/termcolor/\n",
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"from termcolor import colored\n",
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"\n",
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"#from scipy.interpolate import interp1d\n",
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"#import numpy as np\n",
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"\n",
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"#math\n",
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"from math import sin, tan, sqrt"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "d075a994-76bb-46f7-bdfb-cc6ef449dc43",
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"metadata": {
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"extensions": {
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"activeView": "grid_default",
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"views": {
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"grid_default": {
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"col": null,
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"height": 2,
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"hidden": true,
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"row": null,
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"width": 2
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}
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}
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}
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}
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},
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"outputs": [],
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"source": [
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"# air density–temperature relationship at 1 atm or 101.325 kPa\n",
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"# https://en.wikipedia.org/wiki/Density_of_air\n",
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"# https://www.engineersedge.com/calculators/air-density.htm\n",
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"# temp in st.C density in g/m3\n",
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"\n",
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"#temp = [-25,-20,-15,-10,-5,0,5,10,15,20,25,30,35]\n",
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"#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",
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"#dens_temp_func = interp1d(temp, dens)\n",
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"\n",
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"\n",
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"def airDensity(temp=0.0):\n",
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" tempK = temp + 273.0 # absolute temperature [K]\n",
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" p = 101325.0 # pressure [Pa]\n",
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" rSpec = 287.0500676 # specific gas constant for dry air [J⋅kg−1⋅K−1]\n",
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" return 1000.0 * p / ( rSpec * tempK )"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "229c0a36-bf1f-4c07-884c-f3522d5eaae5",
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"metadata": {},
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"outputs": [],
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"source": [
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"# math: https://pl.wikipedia.org/wiki/Wielok%C4%85t_foremny\n",
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"\n",
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"# radius of the circle described on the polygon\n",
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"def outradius(a=1.0,n=3):\n",
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" return a / ( 2 * sin( pi / n ))\n",
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"\n",
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"# radius of the circle inscribed in the polygon\n",
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"def inradius(a=1.0,n=3):\n",
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" return a / ( 2 * tan( pi / n )) \n",
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"\n",
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"#pyramid area/volume\n",
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"def base_area(a=1.0,n=3):\n",
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" return 0.5 * n * pow(outradius(a,n),2) * sin( 2 * pi / n)\n",
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"\n",
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"def volume(a=1.0,h=1.0,n=3):\n",
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" return base_area(a,n) * h / 3\n",
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" \n",
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"def surface_area(a=1.0,h=1.0,n=3):\n",
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" return base_area(a,n) + 0.5 * a * n * sqrt( pow(h,2) + pow(inradius(a,n),2))\n",
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" \n",
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"\n"
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]
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"execution_count": 4,
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"id": "2f3b63fd-d5ea-40b6-a2f9-b31c84cfef36",
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}
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}
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"interactive(children=(IntSlider(value=3, description='Segment num:', layout=Layout(width='500px'), max=12, min…"
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]
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"metadata": {},
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}
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],
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"source": [
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"def f(num,width,height,airTemp,hotAirTemp,coatDens):\n",
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" print(\"\\n\")\n",
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" \n",
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"# Volume\n",
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" vol = volume(width,height,num)\n",
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" print( \"Volume: {:.2f} [m3]\".format(vol)) \n",
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"# Area\n",
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" area = surface_area(width,height,num)\n",
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" print( \"Area: {:.2f} [m2]\".format(area)) \n",
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"# Coating density (protective film for painting): 300g / 4x5m = 15g/m2 \n",
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" coatingWeight = coatDens * area\n",
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" print( \"Coating weight: {:.2f} [g]\".format(coatingWeight)) \n",
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"# Lift per volume g/m3 \n",
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"# airDens = dens_temp_func( airTemp )\n",
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"# hotAirDens = dens_temp_func( hotAirTemp ) \n",
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" airDens = airDensity( airTemp )\n",
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" hotAirDens = airDensity( hotAirTemp ) \n",
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" lift = airDens - hotAirDens\n",
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" print( \"Lift: {:.2f} [g/m3]\".format(lift)) \n",
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"# Total lift force lift * volume \n",
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" totalLiftForce = lift * vol\n",
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" print( \"Total lift force: {:.2f} [g]\".format(totalLiftForce)) \n",
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"# Free lift force totalLiftForce - coatingWeight \n",
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" freeLiftForce = totalLiftForce - coatingWeight\n",
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" if freeLiftForce < 0:\n",
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" color = 'red'\n",
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" else:\n",
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" color = None\n",
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" print( \"Free lift force:\", colored(\"{:.2f} [g]\".format(freeLiftForce),color)) \n",
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" print(\"\\n\")\n",
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" \n",
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" \n",
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" cylinder = Mesh(geometry=CylinderBufferGeometry(\n",
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" radiusTop=outradius(width,num), \n",
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" radiusBottom=0.0, \n",
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" height=height, \n",
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" radialSegments=num, \n",
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" heightSegments=1, \n",
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" openEnded=False, \n",
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" thetaStart=0, \n",
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" thetaLength=2.0*pi),\n",
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" material=MeshLambertMaterial(color='gray') \n",
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" )\n",
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" \n",
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" keyLight = DirectionalLight(color='white', position=[3, 5, 1], intensity=0.5)\n",
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"\n",
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" c = PerspectiveCamera(position=[2, 2, 5], up=[0, 1, 0], children=[keyLight])\n",
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"\n",
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" scene = Scene(children=[cylinder, c, AmbientLight(color='#777777')], background=None)\n",
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"\n",
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" renderer = Renderer(camera=c,\n",
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" scene=scene,\n",
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" alpha=True,\n",
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" clearOpacity=1.0,\n",
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" clearColor='#62a0ea',\n",
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" controls=[OrbitControls(controlling=c)])\n",
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" return renderer\n",
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"\n",
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"#display(HTML('''<style>\n",
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"# .widget-label { min-width: 25ex !important; }\n",
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"#</style>'''))\n",
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"\n",
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"layout=Layout(width='500px')\n",
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"style = {'description_width': 'initial'}\n",
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" \n",
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"widgets.interact(f, \n",
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" num=widgets.IntSlider(min=3, max=12, step=1, value=3, description='Segment num:',layout=layout,style=style), \n",
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" width=widgets.FloatSlider(min=0.1, max=5.0, step=0.1, value=3.0, description='Segment width [m]:',readout_format='.1f',layout=layout,style=style), \n",
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" height=widgets.FloatSlider(min=0.1, max=5.0, step=0.1, value=3.0, description='Height [m]:',readout_format='.1f',layout=layout,style=style), \n",
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" 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",
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" 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",
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" 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",
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" );\n"
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]
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