{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7f8c0774-fb2d-450d-91dd-6853bdbe049a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "raw",
   "id": "e97c6554-1880-4580-8fee-25b12acab77a",
   "metadata": {
    "tags": []
   },
   "source": [
    "SERIE 3 : Mur avec briques réfractaires. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3787f30c-a887-4337-bc7c-10e3749bcbd9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Evolution de la température dans le mur')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "#Paramètres\n",
    "Tint=800\n",
    "Text=5\n",
    "hint=1\n",
    "hext=7\n",
    "h12=2\n",
    "e1=0.1\n",
    "k1=0.4\n",
    "e2=0.02\n",
    "k2=0.02\n",
    "\n",
    "#Calcul du flux\n",
    "q=(Tint-Text)/(1/hint+e1/k1+1/h12+e2/k2+1/hext)\n",
    "\n",
    "#Différentes températures avec un flux constant\n",
    "Tmuri=-q/hint+Tint\n",
    "T1=Tmuri-q*e1/k1\n",
    "Tinside=-q/h12+T1\n",
    "T2=Tinside-q*e2/k2\n",
    "Tmure=-q/hext+T2\n",
    "\n",
    "#Construction du graphique\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "plt.plot([0, 0, e1,e1, e1+e2, e1+e2, e1+e2], [Tint, Tmuri, T1, Tinside, T2, Tmure, Text])\n",
    "plt.xlabel(u'$EPAISSEUR [m]$')\n",
    "plt.ylabel(u'$T[°C]$', rotation=0)\n",
    "plt.title(u'Evolution de la température dans le mur')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b329200d-32d6-42ea-b443-1e348f8a8471",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python",
   "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": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}