diff --git a/Chapitre5b.ipynb b/Chapitre5b.ipynb new file mode 100644 index 0000000..aa700bd --- /dev/null +++ b/Chapitre5b.ipynb @@ -0,0 +1,203 @@ +{ + "cells": [ + { + "cell_type": "raw", + "id": "44c6d499-5e19-4b6e-9272-f0d7d8ee3a41", + "metadata": { + "tags": [] + }, + "source": [ + "Echauffement newtonien : pas de gradient de température à l'intérieur (Bi<0.1) (slide 16)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "b27b8068-7219-43b8-8092-cdeeba88211f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.1\n" + ] + }, + { + "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", + "Tgaz=10\n", + "Ti=150\n", + "k=1\n", + "h=1\n", + "rho=27\n", + "Cp=39\n", + "V=1\n", + "A=10\n", + "L=V/A\n", + "Bi=h*L/k\n", + "tf=100\n", + "print(Bi)\n", + "\n", + "def T(t):\n", + " return np.exp(-h/(rho*Cp)*1/L*t)*(Ti-Tgaz)+Tgaz\n", + "\n", + "t1=np.linspace(0,tf,1000)\n", + "plt.plot(t1,T(t1))\n", + "plt.xlabel(u'$temps [s]$')\n", + "plt.ylabel(u'$T[°C]$', rotation=0)\n", + "plt.title(u'Evolution de la température dans la plaque au fil du temps')\n", + "plt.show()" + ] + }, + { + "cell_type": "raw", + "id": "8c58f819-96f8-4b00-a337-b0555ea5117b", + "metadata": {}, + "source": [ + "Refroidissement plaque (slide 25)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "7d3fa320-4747-48b0-94e2-a5724e3de9e7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.08403361344537816\n", + "0.026524778593033142 0.013346016897279284 0.008907824085077329\n", + "0.05005313730960918\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", + "from scipy.optimize import fsolve\n", + "\n", + "Tf=100\n", + "Ti=150\n", + "k=238 #Conductivité thermique\n", + "h=200 #Convection\n", + "rho=2702 #Densité\n", + "Cp=929 #Chaleur massique\n", + "V=1 #Volume plaque\n", + "A=10 #Aire plaque\n", + "\n", + "L=V/A\n", + "Bi=h*L/k\n", + "tf=10 #Temps final\n", + "a=k/(Cp*rho)\n", + "Fo=k*tf/(Cp*rho*L**2)\n", + "print(Bi)\n", + "\n", + "def g(x):\n", + " return 1/(x-np.pi)-x/Bi\n", + "\n", + "kappa1=float(abs(fsolve(g,[5])))\n", + "\n", + "def g2(x):\n", + " return 1/(x-2*np.pi)-x/Bi\n", + "\n", + "kappa2=float(abs(fsolve(g2,[5])))\n", + "\n", + "def g3(x):\n", + " return 1/(x-3*np.pi)-x/Bi\n", + "\n", + "kappa3=float(abs(fsolve(g3,[5])))\n", + "\n", + "print(kappa1,kappa2,kappa3)\n", + "\n", + "\n", + "C1=2*np.sin(kappa1)/(kappa1+np.sin(kappa1)+np.cos(kappa1))*np.exp(-(kappa1/L)**2*Fo)\n", + "C2=2*np.sin(kappa2)/(kappa2+np.sin(kappa2)+np.cos(kappa2))*np.exp(-(kappa2/L)**2*Fo)\n", + "C3=2*np.sin(kappa3)/(kappa3+np.sin(kappa3)+np.cos(kappa3))*np.exp(-(kappa3/L)**2*Fo)\n", + "\n", + "print(C1)\n", + "\n", + "def T(x):\n", + " return (C1*np.cos(kappa1/L*x)+C2*np.cos(kappa2/L*x)+C3*np.cos(kappa3/L*x))*(Ti-Tf)+Tf\n", + "\n", + "x1=np.linspace(-L,L,100)\n", + "plt.plot(x1,T(x1))\n", + "plt.xlabel(u'x [m]')\n", + "plt.ylabel(u'T[°C]', rotation=0)\n", + "plt.title(u'Evolution de la température dans la plaque à temps tf')\n", + "plt.show()\n", + "\n", + "plt.figure()\n", + "t=0.1*tf\n", + "while t" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "km = 238 # Conductivité thermique moule\n", + "rhom = 2702 #Densité moule\n", + "Cpm = 929 #Chaleur massique moule\n", + "a=km/(rhom*Cpm) #diffusivité thermique moule\n", + "Ti=100 #Température initiale du moule\n", + "Ts=650 #température de solidification\n", + "xmax= 0.1\n", + "tmax = 10\n", + "\n", + "def q(x,t):\n", + " return -np.sqrt(km*rhom*Cpm)/(np.sqrt(np.pi)*t)*(Ti-Ts)*np.exp(-x**2/(4*a*t))\n", + "\n", + "plt.figure()\n", + "x=0\n", + "while x" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "km = 238 # Conductivité thermique moule\n", + "rhom = 2702 #Densité moule\n", + "Cpm = 929 #Chaleur massique moule\n", + "a=km/(rhom*Cpm) #diffusivité thermique moule\n", + "T0=100 #Température initiale du moule\n", + "Tm=650 #température de fusion du métal\n", + "\n", + "def q(t):\n", + " return np.sqrt(km*rhom*Cpm)/(np.sqrt(np.pi)*t)*(Tm-T0)\n", + "\n", + "t1=np.linspace(1,10,1000)\n", + "plt.plot(t1,q(t1))\n", + "plt.xlabel(u't [s]')\n", + "plt.ylabel(u'Q', rotation=0)\n", + "plt.title(u'Vitesse de solidification en fonction du temps à x=0')\n", + "plt.ticklabel_format(useOffset=False)\n", + "plt.show()" + ] + }, + { + "cell_type": "raw", + "id": "a36c17ab-42fe-49b2-b114-a1f7e837dafb", + "metadata": {}, + "source": [ + "Epaisseur du métal solidifié" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "82ce0069-bd01-498f-9cf0-45555f97fe9c", + "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", + "km = 238 # Conductivité thermique moule\n", + "rhom = 2702 #Densité moule\n", + "Cpm = 929 #Chaleur massique moule\n", + "a=km/(rhom*Cpm) #diffusivité thermique moule\n", + "T0=100 #Température initiale du moule\n", + "Tm=650 #température de fusion du métal\n", + "rhof=2702 #Densité du métal liquide \n", + "Hf=100 #chaleur latente métal\n", + "\n", + "def M(t):\n", + " return 2/np.sqrt(np.pi)*(Tm-T0)/(rhof*Hf)*np.sqrt(km*rhom*Cpm*t)\n", + "\n", + "t1=np.linspace(0,10,1000)\n", + "plt.plot(t1,M(t1))\n", + "plt.xlabel(u't [s]')\n", + "plt.ylabel(u'M[m]', rotation=0)\n", + "plt.title(u'Epaisseur du métal solidifié en fonction du temps')\n", + "plt.ticklabel_format(useOffset=False)\n", + "plt.show()" + ] + }, + { + "cell_type": "raw", + "id": "061a3387-a5bf-4a10-aa32-d9758d1a8263", + "metadata": {}, + "source": [ + "Moulage avec une température de surface constante" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "cc73e42c-5609-4dc1-95fe-4c13768bbca1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.64464356]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Temps de solidification [376.98998779] s\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_74/1779665526.py:47: RuntimeWarning: invalid value encountered in true_divide\n", + " return (Tm-Ts)/(ss.erf(M(t)/(2*np.sqrt(af*t))))+Ts\n" + ] + }, + { + "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", + "import scipy.special as ss\n", + "from scipy.optimize import fsolve\n", + "\n", + "km = 238 # Conductivité thermique moule\n", + "rhom = 2702 #Densité moule\n", + "Cpm = 929 #Chaleur massique moule\n", + "a=km/(rhom*Cpm) #diffusivité thermique moule\n", + "Ts=100 #Température surface moule\n", + "Tm=650 #température de fusion\n", + "kf= 238 # Conductivité thermique métal\n", + "rhof=2702 #Densité métal liquide\n", + "Cpf=929 #Chaleur massique métal\n", + "Hf=100 #chaleur latente métal\n", + "af=kf/(rhof*Cpf) #diffusivité thermique métal\n", + "L=1\n", + "\n", + "#determiner beta :\n", + "def f(b):\n", + " return b*np.exp(b**2)*ss.erf(b)-(Tm-Ts)*Cpf/(Hf*np.sqrt(np.pi))\n", + "\n", + "beta=fsolve(f,[10])\n", + "print(beta)\n", + "\n", + "plt.figure()\n", + "\n", + "def M(t):\n", + " return 2*beta*np.sqrt(kf*t/(rhof*Cpf))\n", + "\n", + "t1=np.linspace(0,10,1000)\n", + "plt.plot(t1,M(t1))\n", + "plt.xlabel(u't [s]')\n", + "plt.ylabel(u'M[m]', rotation=0)\n", + "plt.title(u'Epaisseur du métal solidifié en fonction du temps')\n", + "plt.ticklabel_format(useOffset=False)\n", + "plt.show()\n", + "\n", + "\n", + "tfin=L**2/(4*beta**2)*rhof*Cpf/kf\n", + "print('Temps de solidification', tfin, 's')\n", + " \n", + "\n", + "plt.figure()\n", + "\n", + "def T(t):\n", + " return (Tm-Ts)/(ss.erf(M(t)/(2*np.sqrt(af*t))))+Ts\n", + "\n", + "plt.plot(t1,T(t1))\n", + "plt.xlabel(u't [s]')\n", + "plt.ylabel(u'M[m]', rotation=0)\n", + "plt.title(u'Température dans le métal liquide')\n", + "plt.ticklabel_format(useOffset=False)\n", + "plt.show()\n", + " " + ] + }, + { + "cell_type": "raw", + "id": "c63898c3-cc43-48d2-8723-7a39a85a042b", + "metadata": {}, + "source": [ + "Gradients dans le moule et le métal" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "f6e14166-7836-4a54-8fcc-0b3b97160e7c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.4273726]\n", + "Température TS= 375.08215759952117 °C\n", + "Température Tinfini= 375.08215759952355 °C\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_98/2049070859.py:39: RuntimeWarning: invalid value encountered in true_divide\n", + " return (T0-Ts)*(ss.erf(-x/(2*np.sqrt(af*t))))+Ts\n", + "/tmp/ipykernel_98/2049070859.py:39: RuntimeWarning: divide by zero encountered in true_divide\n", + " return (T0-Ts)*(ss.erf(-x/(2*np.sqrt(af*t))))+Ts\n" + ] + }, + { + "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", + "import scipy.special as ss\n", + "from scipy.optimize import fsolve\n", + "\n", + "km = 398 # Conductivité thermique moule\n", + "rhom = 896 #Densité moule\n", + "Cpm = 929 #Chaleur massique moule\n", + "a=km/(rhom*Cpm) #diffusivité thermique moule\n", + "T0=100 #Température initiale du moule\n", + "Tm=650 #température de fusion\n", + "kf= 238 # Conductivité thermique métal\n", + "rhof=2702 #Densité métal liquide\n", + "Cpf=929 #Chaleur massique métal\n", + "Hf=164 #chaleur latente métal\n", + "af=kf/(rhof*Cpf) #diffusivité thermique métal\n", + "L=1\n", + "xmax=1\n", + "tf=1000 #temps de durée de l'expérience\n", + "\n", + "#determiner beta :\n", + "def f(b):\n", + " return b*np.exp(b**2)*(ss.erf(b)+np.sqrt(kf*rhof*Cpf/(km*rhom*Cpm)))-(Tm-T0)*Cpf/(Hf*np.sqrt(np.pi))\n", + "\n", + "beta=fsolve(f,[10])\n", + "print(beta)\n", + "\n", + "Ts=Tm-Hf*np.sqrt(np.pi)*beta*np.exp(beta**2)*ss.erf(beta)/Cpf\n", + "print('Température TS=', float(Ts), '°C')\n", + "\n", + "Tinf=T0+Hf*np.sqrt(np.pi)*beta*np.exp(beta**2)/Cpf\n", + "print('Température Tinfini=', float(Tinf), '°C')\n", + "\n", + "plt.figure()\n", + "\n", + "x=0\n", + "while x