{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dispersion de Taylor et Chromatographie\n", "\n", "On injecte rapidement du pergamanate de potassium (D=1,87.10-9 m2/s) dans un tube capillaire de 1,5 m de longueur et de 0,5 mm de rayon interne. De l’eau circule dans ce tube avec une vitesse de 0,05 mm/s.\n", "\n", "**1. Calculer l’étalement du traceur en sortie du tube**\n", "\n", ">Lors de l'écoulement d'un traceur dans un tube, il y a un couplage entre la convection, u, la diffusion axiale et la diffusion radiale du traceur. Selon la valeur des différents temps caractéristiques de diffusion et de convection, il est possible de définir différents régimes pour le transport du traceur. Ces différents régimes peuvent être définis par rapport à la valeur du nombre de Péclet $Pe=\\frac{ua}{D}$ et du rapport $\\frac{L}{a}$. " ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.optimize import newton\n", "\n", "#Tracé du diagramme pour la dispersion \n", "def plotPe():\n", " Pe=np.logspace(-5,5,100)\n", " Pe_07=np.ones(len(Pe))*0.7\n", " Pe_70=np.ones(len(Pe))*70\n", " plt.loglog(Pe,Pe,'lightskyblue')\n", " plt.loglog(Pe,1/Pe, 'tomato')\n", "\n", " plt.fill_between(Pe, Pe, where=Pe>0, facecolor='lightskyblue', alpha=0.5)\n", " plt.fill_between(Pe, 1/Pe, where=Pe>1e-6, facecolor='tomato', alpha=0.5)\n", " plt.fill_between(Pe, 1/Pe,1e5, where=Pe<0.7, facecolor='lemonchiffon', alpha=0.5)\n", " plt.fill_between(Pe, Pe,1e5, where=Pe>0.7, facecolor='yellow', alpha=0.5)\n", " plt.fill_between(Pe, Pe, 1e5, where=Pe>70, facecolor='gold', alpha=0.5)\n", "\n", " plt.title('Regime of dispersion for a tracer in a capillary tube')\n", " #Annotation dans la figure\n", " bbox_props = dict(boxstyle=\"round,pad=0.3\", fc=\"white\", ec=\"white\", lw=1)\n", " plt.text(700, 700, \"Pe=L/a\", ha=\"center\", va=\"center\", rotation=45, size=10, bbox=bbox_props)\n", " plt.text(1/700, 700, \"Pe=a/L\", ha=\"center\", va=\"center\", rotation=-45, size=10, bbox=bbox_props)\n", " plt.text(0.7, 500, \"Pe=0.7\", ha=\"center\", va=\"center\", rotation=90, size=10, bbox=bbox_props)\n", " plt.text(70, 500, \"Pe=70\", ha=\"center\", va=\"center\", rotation=90, size=10, bbox=bbox_props)\n", " plt.text(0.001, 10, \"Diffusion pure\", ha=\"center\", va=\"center\", size=10, bbox=bbox_props)\n", " plt.text(1700, 10, \"Convection pure\", ha=\"center\", va=\"center\", size=10, bbox=bbox_props)\n", " plt.text(0.01, 60000, \"Convection \", ha=\"center\", va=\"center\", size=10, bbox=bbox_props)\n", " plt.text(0.01, 30000, \"& axial diffusion\", ha=\"center\", va=\"center\", size=10, bbox=bbox_props) \n", " plt.text(7, 60000, \"Taylor-Aris\", ha=\"center\", va=\"center\", size=10, bbox=bbox_props)\n", " plt.text(1000, 60000, \"Taylor\", ha=\"center\", va=\"center\", size=10, bbox=bbox_props)\n", " plt.xlabel('Pe')\n", " plt.ylabel('L/a')\n", " plt.ylim(bottom=1.)\n", " \n", "plotPe()\n", "plt.text(0.01, 10000, \"$D_{eff}=D$\", ha=\"center\", va=\"center\", size=10, bbox=bbox_props)\n", "plt.text(7, 15000, r'$D_{eff}=$', ha=\"center\", va=\"center\", size=10, bbox=bbox_props)\n", "plt.text(7, 5000, r'$D(1+\\frac{Pe^2}{48})$', ha=\"center\", va=\"center\", size=10, bbox=bbox_props)\n", "plt.text(500, 15000, r'$D_{eff}=$', ha=\"center\", va=\"center\", size=10, bbox=bbox_props)\n", "plt.text(500, 5000, r'$D\\frac{Pe^2}{48}$', ha=\"center\", va=\"center\", size=10, bbox=bbox_props)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">Lorsque un traceur est injecté sous forme d'une impulsion :\n", ">\n", ">à t=0 $\\quad\\overline{c}=\\frac{n_0}{\\pi a^2}\\delta(x)$ où $\\delta(x)$ est la fonction impulsion de Dirac\n", ">\n", ">On peut démontrer que la concentration pour un x et un temps t s'écrit alors sous forme d'un loi normale :\n", "$$\\overline{c}=\\frac{n_0}{\\pi a^2}\\frac{1}{\\sqrt{2\\pi}\\sigma}e^{-\\frac{1}{2}(\\frac{x'}{\\sigma})^2}$$\n", "où $\\sigma$ est l'écart type $\\sigma=\\sqrt{2D_{eff}t}$ et $x'$ est la position selon un axe se déplacant avec le traceur $x'=x-Ut$\n", ">\n", ">Le code suivant calcule :\n", ">1. Le nombre de $Pe=\\frac{ua}{D}$ et le rapport $\\frac{L}{a}$\n", ">2. Détermine le régime sur le diagramme de dispersion\n", ">3. Calcule le coefficient de dispersion $D_{eff}$\n", ">4. Trace la concentration en traceur dans la colonne pour plusieurs temps (et pour le temps de sortie) à la suite d'une injection de type impulsion\n", ">5. Calcule l'étalement du pic en sortie" ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "convection & diffusion axiale et radiale : Dispersion de Taylor-Aris\n", "Coefficient de dispersion : 8.83e-09 m2/s\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Etalement du pic en sortie 0.0921 m\n" ] } ], "source": [ "#Expérience de Taylor u=0.05 mm/s\n", "n0=1.\n", "a=5e-4\n", "L=1.5\n", "D=1.87e-9\n", "U=5e-5\n", "Pe=U*a/D\n", "plotPe()\n", "plt.scatter(Pe,L/a,c='red',s=50)\n", "plt.show()\n", "#Recherche du régime de transport et calcul du coefficient de dispersion\n", "if Pe>L/a :\n", " print ('convection pure')\n", "elif Pe70:\n", " print ('convection & diffusion radiale : Dispersion de Taylor')\n", " D_eff=D*Pe**2/48\n", " else:\n", " print ('convection & diffusion axiale et radiale : Dispersion de Taylor-Aris')\n", " D_eff=D*(1+Pe**2/48)\n", "print ('Coefficient de dispersion :',\"%.2e\"%D_eff, 'm2/s')\n", "\n", "ts=L/U\n", "\n", "from scipy.stats import norm\n", "#norm.pdf(x) = exp(-x**2/2)/sqrt(2*pi)\n", "z=np.linspace(0,2,1000)\n", "\n", "def cmoy(z,t):\n", " sigma=np.sqrt(2*D_eff*t)\n", " x=(z-U*t)/sigma\n", " return norm.pdf(x)*(n0/(np.pi*a**2))/sigma\n", "\n", "ts1=0.25*ts\n", "ts2=0.5*ts\n", "ts3=0.75*ts\n", "plt.plot(z,cmoy(z,ts/4), label='t = %.2f s' %ts1)\n", "plt.plot(z,cmoy(z,ts/2), label='t = %.2f s' %ts2)\n", "plt.plot(z,cmoy(z,3*ts/4), label='t = %.2f s' %ts3)\n", "plt.plot(z,cmoy(z,ts),'red', label='t = %.2f s' %ts)\n", "plt.fill_between(z,max(cmoy(z,ts/4)), where=z" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "convection & diffusion radiale : Dispersion de Taylor\n", "Coefficient de dispersion : 6.96e-07 m2/s\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Etalement du pic en sortie 0.2585 m\n" ] } ], "source": [ "#Expérience de Taylor u=0.5 mm/s\n", "n0=1.\n", "a=5e-4\n", "L=1.5\n", "D=1.87e-9\n", "U=5e-4\n", "Pe=U*a/D\n", "plotPe()\n", "plt.scatter(Pe,L/a,c='red',s=50)\n", "plt.show()\n", "#Recherche du régime de transport et calcul du coefficient de dispersion\n", "if Pe>L/a :\n", " print ('convection pure')\n", "elif Pe70:\n", " print ('convection & diffusion radiale : Dispersion de Taylor')\n", " D_eff=D*Pe**2/48\n", " else:\n", " print ('convection & diffusion axiale et radiale : Dispersion de Taylor-Aris')\n", " D_eff=D*(1+Pe**2/48)\n", "print ('Coefficient de dispersion :',\"%.2e\"%D_eff, 'm2/s')\n", "\n", "ts=L/U\n", "\n", "ts1=0.25*ts\n", "ts2=0.5*ts\n", "ts3=0.75*ts\n", "plt.plot(z,cmoy(z,ts/4), label='t = %.2f s' %ts1)\n", "plt.plot(z,cmoy(z,ts/2), label='t = %.2f s' %ts2)\n", "plt.plot(z,cmoy(z,3*ts/4), label='t = %.2f s' %ts3)\n", "plt.plot(z,cmoy(z,ts),'red', label='t = %.2f s' %ts)\n", "plt.title('Etalement du pic dans la colonne')\n", "plt.fill_between(z,max(cmoy(z,ts/4)), where=zOn note que l'**augmentation de la vitesse** dans la colonne conduit à une dispersion plus importante en sortie du tube. Cela peut apparaître contre-intuitif puisque on peut espérer qu'une augmentation de vitesse (et donc une diminution du temps de séjour) devrait conduire à une diffusion moins importante. C'est ce que pensait Taylor avant de faire son expérience en 1953 !\n", ">\n", ">L'augmentation de la dispersion avec la vitesse est du au fait que la vitesse dans le tube conduit à l'étalement (étirement) du traceur : en régime laminaire les vitesses sont lentes près des parois et maximales au centre du tube. Cet étirement induit également des variations de concentration du traceur en fonction du rayon. La diffusion radiale peut alors aussi participer à la diffusion du traceur. Dans ces régimes, la dispersion devient plus importante quand la vitesse augmente : la dispersion est proportionnelle au Péclet (et donc à la vitesse) au carré. \n", ">\n", ">C'est donc un couplage entre la **convection, la diffusion axiale et la diffusion radiale** qui permet de comprendre et prévoir la dispersion d'un traceur dans un tube." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour en savoir plus https://onlinelibrary.wiley.com/doi/book/10.1002/0471725137 disponible à la BU en plusieurs exemplaires" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Questions auxquelles vous devez être capable de répondre :\n", " - Pourquoi la hauteur des pics diminue au fur et à mesure du temps ?\n", " - Comment est-il possible de calculer la concentration en sortie en fonction du temps ?\n", " - Pourquoi la dispersion augmente quand la vitesse est de 0.005 mm/s (voir ci-dessous) ?" ] }, { "cell_type": "code", "execution_count": 139, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "convection & diffusion axiale et radiale : Dispersion de Taylor-Aris\n", "Coefficient de dispersion : 1.94e-09 m2/s\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Etalement du pic en sortie 0.1365 m\n" ] } ], "source": [ "#Expérience de Taylor u=0.5 mm/s\n", "n0=1.\n", "a=5e-4\n", "L=1.5\n", "D=1.87e-9\n", "U=5e-6\n", "Pe=U*a/D\n", "plotPe()\n", "plt.scatter(Pe,L/a,c='red',s=50)\n", "plt.show()\n", "#Recherche du régime de transport et calcul du coefficient de dispersion\n", "if Pe>L/a :\n", " print ('convection pure')\n", "elif Pe70:\n", " print ('convection & diffusion radiale : Dispersion de Taylor')\n", " D_eff=D*Pe**2/48\n", " else:\n", " print ('convection & diffusion axiale et radiale : Dispersion de Taylor-Aris')\n", " D_eff=D*(1+Pe**2/48)\n", "print ('Coefficient de dispersion :',\"%.2e\"%D_eff, 'm2/s')\n", "\n", "ts=L/U\n", "\n", "ts1=0.25*ts\n", "ts2=0.5*ts\n", "ts3=0.75*ts\n", "plt.plot(z,cmoy(z,ts/4), label='t = %.2f s' %ts1)\n", "plt.plot(z,cmoy(z,ts/2), label='t = %.2f s' %ts2)\n", "plt.plot(z,cmoy(z,3*ts/4), label='t = %.2f s' %ts3)\n", "plt.plot(z,cmoy(z,ts),'red', label='t = %.2f s' %ts)\n", "plt.title('Etalement du pic dans la colonne')\n", "plt.fill_between(z,max(cmoy(z,ts/4)), where=z