diff --git a/Chapter 3.ipynb b/Chapter 3.ipynb new file mode 100644 index 0000000..bb7f796 --- /dev/null +++ b/Chapter 3.ipynb @@ -0,0 +1,314 @@ +{ + "cells": [ + { + "cell_type": "raw", + "id": "3878e72c-15c2-420d-9d02-5fc1a6970b6e", + "metadata": {}, + "source": [ + "Equation Fourier : cas stationnaire : mur simple. " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "4d2077c7-1363-4623-ad9c-041f84d82d7d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "\n", + "#Paramètres à varier\n", + "\n", + "P = 100 # Puissance spécifique\n", + "k = 45 # Conductivité thermique\n", + "T1=250 \n", + "T2=10\n", + "e=1 #epaisseur du mur\n", + "\n", + "\n", + "C1=(T2-T1)/e+P*e/(2*k)\n", + "C2=T1\n", + "\n", + "plt.rcParams[\"figure.figsize\"] = [7.50, 3.50]\n", + "plt.rcParams[\"figure.autolayout\"] = True\n", + "\n", + "def f(x):\n", + " return -P/(2*k)*x**2+C1*x+C2\n", + "\n", + "x = np.linspace(0, e, 1000)\n", + "\n", + "\n", + "plt.plot(x, f(x), color='red')\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')\n", + "plt.show()" + ] + }, + { + "cell_type": "raw", + "id": "9c9f5da5-46b0-498f-9b8f-7e40acbeaab1", + "metadata": {}, + "source": [ + "Equation Fourier : cas stationnaire : mur avec 3 isolants différents et k constants. " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "b48a02c2-7561-4815-87b3-4d7dea129d6a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "T(x)=Tint+qdx/k\n" + ] + }, + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Evolution de la température dans le mur')" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "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=70\n", + "hext=10\n", + "h12=0.1\n", + "e1=0.1\n", + "k1=1\n", + "e2=0.02\n", + "k2=0.4\n", + "e3=0.05\n", + "k3=.5\n", + "h23=0.1\n", + "\n", + "#Calcul du flux\n", + "q=(Tint-Text)/(1/hint+e1/k1+1/h12+e2/k2+1/h23+e3/k3+1/hext)\n", + "\n", + "print('T(x)=Tint+qdx/k')\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", + "Tinside2=-q/h23+T2\n", + "T3=Tinside2-q*e3/k3\n", + "Tmure=-q/hext+T3\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+e3, e1+e2+e3], [Tint, Tmuri, T1, Tinside, T2, Tinside2,T3, Tmure])\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')\n", + "\n", + "\n" + ] + }, + { + "cell_type": "raw", + "id": "a73e6bab-c43e-47a5-a8a7-07e8056473c8", + "metadata": {}, + "source": [ + "Cylindre avec production de chaleur : cas stationnaire" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "728d3136-c05b-4394-8037-d847de79175a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "\n", + "#Paramètres à varier\n", + "\n", + "P = 1 # Puissance spécifique\n", + "k = 235 # Conductivité thermique\n", + "r0=.10 #Rayon externe du cylindre\n", + "ri=.07 #Rayon interne\n", + "T0=25 #Température extérieure au cylindre\n", + "Ti=1000 #Température dans le cylindre\n", + "\n", + "\n", + "C1=(T0-Ti)/(np.log(r0/ri))+P/(4*k)*(r0**2-ri**2)/(np.log(r0/ri))\n", + "C2=(Ti*np.log(r0)-T0*np.log(ri))/(np.log(r0/ri))+P/(4*k)*(ri**2*np.log(r0)-r0**2*np.log(ri))/(np.log(r0/ri))\n", + "\n", + "plt.rcParams[\"figure.figsize\"] = [7.50, 3.50]\n", + "plt.rcParams[\"figure.autolayout\"] = True\n", + "\n", + "def f(r):\n", + " return -P/(4*k)*r**2+C1*np.log(r)+C2\n", + "\n", + "r = np.linspace(ri, r0, 1000)\n", + "\n", + "plt.plot(r, f(r), color='red')\n", + "plt.xlabel(u'$EPAISSEUR [m]$')\n", + "plt.ylabel(u'$T[°C]$', rotation=0)\n", + "plt.title(u'Evolution de la température dans le cylindre')\n", + "plt.show()" + ] + }, + { + "cell_type": "raw", + "id": "8945a2c0-403d-4f94-8af2-dac6ab4898f1", + "metadata": {}, + "source": [ + "Cylindre avec production de chaleur : cas instationaire" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "8a964296-9d3e-446c-b6f4-727cb8070eb5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "#Paramètres à varier\n", + "ri=.7 #Rayon interne\n", + "r0=1 #Rayon externe du cylindre\n", + "Time = 100#Temps \n", + "k = 45 # Conductivité thermique\n", + "rho= 7850 #Densité\n", + "Cp= 420 #Chaleur massique\n", + "P=10 # Puissance spécifique\n", + "a=k/(rho*Cp) #diffusivité thermique\n", + "Ti=500 #Température à l'intérieur du cylindre\n", + "T0=25 #Température à l'extérieur\n", + "\n", + "\n", + "# Paramètres de la grille\n", + "NX = 100 #Nombres de divisions en x\n", + "NT = 100000 #Nombre de pas\n", + "\n", + "dr = (r0-ri)/(NX-1) #Pas de la grille\n", + "dt = Time/NT #Pas de la grille (temps)\n", + "\n", + "x = np.linspace(0,r0-ri, NX)\n", + "T = np.zeros((NX))+T0\n", + "T[0]=Ti\n", + "\n", + "plt.figure()\n", + "plt.xlabel(u'$EPAISSEUR [m]$')\n", + "plt.ylabel(u'$T[°C]$', rotation=0)\n", + "plt.title(u'Evolution de la température dans le cylindre')\n", + "\n", + "for n in range(0,NT):\n", + " r=ri\n", + " T[0]=Ti \n", + " for j in range (1, NX-1):\n", + " T[j] = T[j] + dt*(P/(rho*Cp)+a/r*(((r+dr/2)*(T[j+1]-T[j])-(r-dr/2)*(T[j]-T[j-1]))/(dr**2)))\n", + " r=r+dr\n", + " \n", + " if (n%(NT/10) == 0):\n", + " plotlabel = \"t = %1.2f\" %(n * dt)\n", + " \n", + " plt.plot(x,T, label=plotlabel,color = plt.get_cmap('copper')(float(n)/NT))\n", + " \n", + " \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "16d68984-6f70-42d0-a0bf-aaca8468119d", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "12159451-ddf2-4248-bb0c-f34a42cf02fa", + "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 +} diff --git a/chapitre2.ipynb b/chapitre2.ipynb new file mode 100644 index 0000000..c42a539 --- /dev/null +++ b/chapitre2.ipynb @@ -0,0 +1,147 @@ +{ + "cells": [ + { + "cell_type": "raw", + "id": "6cf7ccc9-46ea-4256-ad12-2e2ea6993b45", + "metadata": {}, + "source": [ + "SEMAINE 2 : 1D fourier equation" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "cdd24aa4-77fe-4b4c-b746-3b988072ac38", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Time= 50.0 s\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "#Paramètres à varier\n", + "\n", + "Lx = 0.1 \n", + "Ly= 1\n", + "Time = 50 #Temps \n", + "k = 0.4 # Conductivité thermique\n", + "rho= 900 #Densité\n", + "Cp= 1550 #Chaleur massique\n", + "P=0 # Puissance spécifique\n", + "a=k/(rho*Cp) #diffusivité thermique\n", + "T0=100 #Température T0\n", + "\n", + "# Paramètres de la grille\n", + "NX = 10 #Nombres de divisions en x\n", + "NY=100 #Nombres de divisions en y\n", + "NT = 10000 #Nombre de pas\n", + "\n", + "dx = Lx/(NX-1) #Pas de la grille (en x)\n", + "dy = Ly/(NY-1) #Pas de la grille (en y)\n", + "dt = Time/NT #Pas de la grille (temps)\n", + "\n", + "grid = np.zeros((NX, NY))\n", + "grid[:, 0] = T0\n", + "\n", + "\n", + "plt.figure()\n", + "\n", + "\n", + "for n in range(0,NT):\n", + " \n", + " for j in range(1,NX-1):\n", + " grid[1:-1, 1:-1] = grid[1:-1, 1:-1] + (dt) * (P/(rho * Cp) + a * (\n", + " (grid[1:-1, 2:] - 2 * grid[1:-1, 1:-1] + grid[1:-1, :-2]) / dy**2))\n", + "tfin=NT*dt \n", + "print('Time=', tfin, 's' ) \n", + "\n", + "plt.imshow(grid, cmap='turbo', interpolation='nearest')\n", + "plt.xlabel(u'$x$', fontsize=26)\n", + "plt.ylabel(u'$T$', fontsize=26, rotation=0)\n", + "plt.colorbar()\n", + "plt.show()\n", + "\n", + "x = np.linspace(0,Ly,NX)\n", + "T = np.zeros((NX))\n", + "T[0]=T0\n", + "\n", + "plt.figure()\n", + "\n", + "\n", + "for n in range(0,NT):\n", + "\n", + " for j in range (1, NX-1):\n", + " T[j] += dt*(P/(rho*Cp)+a*(T[j-1]-2*T[j]+T[j+1])/(dx**2))\n", + "\n", + "\n", + "\n", + " if (n%(NT/10) == 0):\n", + " plotlabel = \"t = %1.2f\" %(n * dt)\n", + " plt.plot(x,T, label=plotlabel,color = plt.get_cmap('copper')(float(n)/NT))\n", + " \n", + "\n", + "plt.xlabel(u'$x$', fontsize=26)\n", + "plt.title(u'Equation de la chaleur 1D')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4d7658df-888b-44cd-a46e-ed45b1f68048", + "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 +} diff --git a/serie3.ipynb b/serie3.ipynb new file mode 100644 index 0000000..56cf48c --- /dev/null +++ b/serie3.ipynb @@ -0,0 +1,114 @@ +{ + "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": [ + "
" + ] + }, + "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 +}