{ "cells": [ { "cell_type": "markdown", "id": "c7494440-df7f-4fc3-a588-48f183d6ee30", "metadata": {}, "source": [ "# Beispiel 9.3: Anfahrverhalten einer Folgereaktion im CSTR\n", "Bearbeitet von Amke Wiesner" ] }, { "cell_type": "markdown", "id": "007d547b-f4f6-499d-88b0-37cbfda3124b", "metadata": {}, "source": [ "Dieses Beispiel befindet sich im Lehrbuch auf den Seiten 119 - 120. Die Nummerierung der verwendeten Gleichungen entspricht der Nummerierung im Lehrbuch." ] }, { "cell_type": "markdown", "id": "bce5b1b0-05e5-4d27-821e-57b62f9fac80", "metadata": {}, "source": [ "# Code" ] }, { "cell_type": "markdown", "id": "67de51a9-f4b1-4907-8d88-97d3c994d681", "metadata": {}, "source": [ "Zunächst werden die benötigten Pakete importiert..." ] }, { "cell_type": "code", "execution_count": 1, "id": "935f2a40-f545-4490-bef3-db1e478916f8", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.integrate import odeint\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "6fbbef4d-0a1f-429c-b229-0a98f94bdd97", "metadata": {}, "source": [ "... und die aus dem Beispiel bekannten Werte in Variablen gespeichert." ] }, { "cell_type": "code", "execution_count": 2, "id": "2b725444-a2c2-4fa6-93fe-5662a711609a", "metadata": {}, "outputs": [], "source": [ "Da = 4 # - Damköhler-Zahl\n", "k1k2 = 1 # - Verhältnis der Geschwindigkeitskonstanten k1/k2\n", "\n", "kappa_1 = 1 # - Einsatzverhältnis Komp. 1\n", "kappa_2 = 0 # - Einsatzverhältnis Komp. 2\n", "kappa_3 = 0 # - Einsatzverhältnis Komp.3" ] }, { "cell_type": "code", "execution_count": 3, "id": "a9642d1f-0fed-4251-8bc5-f13139c6c361", "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, 4, 101) # dimensionslose Zeit" ] }, { "cell_type": "markdown", "id": "dd6d26b1-b2fe-44fa-8ee4-d6bab8e3b70e", "metadata": { "tags": [] }, "source": [ "Im nächsten Schritt wird ein Modell zur Lösung des Gleichungssystems aufgebaut.\n", "Es wird für die Fälle $f_{1,0} = 1$ und $f_{1,0} = 0$ gelöst. Die übrigen Startwerte sind in beiden Fällen gleich und betragen $f_{2,0} = f_{3,0} = 0$. \n", "\n", "Die Lösungen werden in *save*-Variablen gespeichert. Die Verläufe für den Fall $f_{1,0} = 1$ werden in der Variablen *save_1* gespeichert, die Verläufe für den Fall $f_{1,0} = 0$ in der Variablen *save_0*." ] }, { "cell_type": "markdown", "id": "6607c317-f871-4ecc-b52d-33b7e5b1788a", "metadata": {}, "source": [ "Auf Basis der instationären Materialbilanz in dimensionsloser Form, nachzulesen in Glg. (9.7) im Lehrbuch, wird das Gleichungssystem implementiert, das im Beispiel 9.3 zu finden ist." ] }, { "cell_type": "code", "execution_count": 4, "id": "bad21466-e0cc-45dd-9bc8-d1c7eb9b5218", "metadata": {}, "outputs": [], "source": [ "def model (y, t):\n", " f1, f2, f3 = y\n", " \n", " df1dt = 1 - f1 - Da * f1/kappa_1\n", " df2dt = -f2 + Da/kappa_1 * (f1 - 1/k1k2 * f2)\n", " df3dt = -f3 + Da * 1/k1k2 * kappa_1 * f2\n", " \n", " return df1dt, df2dt, df3dt\n", "\n", "# Anfangsbedingungen\n", "y00 = 0, 0, 0\n", "y01 = 1, 0, 0\n", "\n", "# Lösen für f_10 = 0\n", "solve = odeint(model, y00, t)\n", "f1,f2,f3 = solve.T\n", "\n", "save_0 = [f1, f2, f3]\n", "\n", "# Lösen für f_10 = 1\n", "solve = odeint(model, y01, t)\n", "f1,f2,f3 = solve.T\n", "\n", "save_1 = [f1, f2, f3]" ] }, { "cell_type": "markdown", "id": "c349edd0-0095-4e89-a566-b3d8b3a1351f", "metadata": {}, "source": [ "Abschließend werden die Ergebnisse grafisch dargestellt." ] }, { "cell_type": "code", "execution_count": 5, "id": "b216fa43-6bf4-447a-a13e-74e7e8500aef", "metadata": {}, "outputs": [ { "data": { "image/png": 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bnCyc+p3X3MotnMYq7ItML3jI81AceR7KQqaH4sj0nI1MLzhYLIiAc794qlat6nUd7hePe52+snPbnCoc+nzQoEEaP368WrRoUeY+3bp10zPPPKNPPvlEjz76qGtCLyws1F133aXNmzerYcOGlrYLwRUOYxWhwwcD+1m3bp3uu+8+07aePXvq0UcfDcj5mCPsLdjj4QLeQ9jf3LlzVVhYqKpVq+r666+3vH7mhvAS6PFwAXND8BUVFenBBx/U2bNnJUlt27bVsGHDQtom5geEGzuPWTu3zcnCod95zYUUHmMVoUOmZy/keSiOPA/lIdNDcWR6zkWmFzx8DTGCLiIiIijH+MLObXMqO/b5ww8/XO6LfnH33HOPFixYoPj4eNe2kydP6q9//WugmocQseNYRfANGjRIP/30k9avX69XXnlFd999t9q3b69mzZqpZcuWrg8F69ev19SpU1W9enXXsRc+GOTk5ITwGTjTrl271LdvX9Ob6+TkZE2dOpX3EJVQKMcD7yFCa9SoUcrKynI9Nm7cqMWLF+vtt99Wt27dJEn5+fmaM2eObrjhBj3++OMqLCwMaJuYG0LHTuOBuSH43nrrLWVmZkqSoqOj9eGHHyoqKirErTJjfkC4sfOYtXPbnMyO/c5rLkpjx7GK4CPTsx/yPBRHnle52SnDuYD5IXTsNB6YH4KPTC94WCyIgEtISDCVT58+7XUd7se41+krO7fNqZzY5+3btzf9KVxJ+uijj3Tq1KkQtQhWcOJYhf/4YGA/Bw4c0E033WQKbOvXr6/58+erTp06ATsvc4Q9hWo8+Ir3ENaqVauWUlJSXI/mzZurS5cuevzxx7VgwQItXrxYycnJrv3Hjx+vhx9+2NI2MDfYhx3Gg6+YG/yzY8cOPfvss67yn/70J6WmpoauQf+P+QHhxs5j1s5tczIn9juvuc7kxLEK/5Hp2Qt5Hoojz4MdMhzmB/uww3jwFfODf8j0govFggg4O188dm6bUzm1zx977DHVqFHDVT537pwWLlwYwhbBX04dqwguPhgE1pEjR9SjRw9t3brVtS0pKUnffvutmjVrFtBzM0fYTyjHgz94DxE8Xbp00cKFC1W7dm3XtokTJ2rWrFmWnYO5IXwEYzz4g7nBN4Zh6Pe//73y8vIkSY0bN9aYMWNC26j/x/yAcGPnMWvntjmZU/ud11zncepYRXCR6QUOeR6KI8+DJ8j0UByZnjOR6QUfiwURcBdddJGpnJeX5/UHqgMHDpjKNWvW9LdZkkq27eDBg17XEai2OZWdx4M/YmNj1bVrV9O29evXh6g1sALzA6zCB4PAOH78uHr27KkNGza4tiUmJmr+/Pke3ynuD+YIewn1ePAH7yGCq1GjRho1apRp26uvvmpZ/cwN4SXQ48EfzA2++eCDD/Tdd9+5yu+9957i4uJC2KLfMD8g3Ng5v+F6Cg07jwl/8JrrPMwRsAqZnvVCnd8wP9hLqMeDP3j/EHxkeiiOTM95yPSCj8WCCLjatWsrMTHRtG3Xrl1e1bFz505T2aq7SdzrcT+PJwLVNqey83jwV0pKiqnsywsF7IP5AVbhg4H1cnNz1atXL61Zs8a1rUaNGvr666+D9ifJmSPsww7jwV+8hwiugQMHmsqZmZk6duyYJXUzN4SfQI4HfzE3eG/06NGun/v06aOmTZsqOzu73Me+fftMdRQUFJTY59y5c363jfkB4cbO+Q3XU2jYeUz4i9dcZ2GOgFXI9Kxlh/yG+cE+7DAe/MX7h+Aj00NxZHrOQqYXfCwWRFA0b97cVN6+fbtXx+/YsaPc+nx1xRVXKCoqylU+cOCAcnNzPT7+xIkTOnTokKscFRVliwvb7uw6Hvzlvrrdlz9BC/tgfoCV+GBgnVOnTqlPnz7KzMx0bUtISNDcuXN17bXXBq0dzBH2YJfx4C/eQwRX3bp1Tf/RXVRUpKysLEvqZm4IP4EcD/5ibvBe8T76z3/+o0aNGlX4uPvuu0115OTklNhn48aNfreN+QHhyK75DddT6Nh1TPiL11xnYY6Alcj0rGGX/Ib5wR7sMh78xfuH4CPTQ3Fkes5Cphd8LBZEULRs2dJUXr58ucfHnjp1qsTdWu71+So2NlZNmjTxuW3Lli0zlZs1a6bY2FhL2uZkdh0P/io+yUtSUlJSiFoCKzA/wEp8MLDG6dOndcstt2jJkiWubfHx8ZozZ446deoU1LYwR4SencaDv3gPEXwxMTGm8tmzZy2pl7khPAVqPPiLucFZmB8Qjuya33A9hY5dx4S/eM11FuYIWIlMz392ym+YH0LPTuPBX7x/CA0yPRRHpodgcOr8wGJBBEWvXr1M5UWLFnl87OLFi1VQUOAqt27dWvXq1bOqaX61zX3f3r17W9Ai57PzePDHihUrTOWLL744RC2BVZgfYBU+GPjvzJkzuvXWW03XVtWqVTV79mxdf/31IWkTc0To2HE8+IP3EMF15syZEvMyny8qr0CPB38wNzgP8wPCjZ3zG66n0LDzmPAHr7nOwxwBq5Dp+ceO+Q3zQ+jYcTz4g/cPwUemh+LI9BBMTpwfWCyIoLj55ptNd2AtX75cmzdv9ujYyZMnm8r9+vWzsmkl6psyZYoKCwsrPK6wsFBTp04NaNucys7jwVcbNmzQhg0bTNtuvPHG0DQGlmF+gFX4YOCfc+fOqX///vr2229d22JjY5WRkaHu3buHrF3MEaFh1/HgK95DBN+CBQtUVFTkKsfHx6thw4aW1c/cEF4CPR58xdzgm2PHjskwDK8eCxcuNNWRnJxcYp/U1FRL2sf8gHBj5/yG6yk07DwmfMVrrjMxR8AqZHq+s2t+w/wQGnYdD77i/UNokOmhODI9ZyHTCwEDCJLBgwcbklyP+++/v8JjtmzZYlSpUsV1THR0tLF9+3ZL21VQUGA0atTI1LbJkydXeNzkyZNNxzRp0sQoLCy0tG1OZtfx4IuCggKje/fupufTtGnTUDfLMRYuXGjq2+Tk5KCdm/nBfkI5Hny1fv16U5slGT///HOomxU28vPzjdtuu83UfzExMcaXX34Z6qYxR4SAnceDL3gPEXyFhYVGhw4dTH3ev39/S8/B3BA+gjEefMHcEFzBfH/J/IBwZNf8huspdOw6JnzBa25gkemhODK9ysXO+Q3zQ/DZeTz4gvcPoUGmh+LI9GAYZHr+YrEgguaXX34xYmJiTBfDrFmzytz/9OnTRqdOnUz7P/LIIxWex/3D28KFCys85uOPPzYdU6tWLSMrK6vM/bOysozExETTMZ9++mmF58Fv7Doexo0bZ5w+fdrj53H27FnjgQceKHGeKVOmeFwHymflCz3zQ/gLt2CRDwb+KSgoMO68805T/0VHRxszZswIyPmYI+zN7uOB9xDBNW7cOGPPnj1eHXPu3Dnj/vvvL9HnCxYsKPc45gb7s/N4YG6wP3/eXzI/oDKwa35jGFxPoWLXMcFrrv2Q6aE4Mr3Kw+75jWEwPwST3ccD7x+Cz84ZjmEwPwSbnccD84P9ken5h8WCCKoRI0aYLoaYmBjj7bffNs6ePWvab+PGjSVCpNq1a3v0YuHLhV3a6vMGDRoY33zzTYl9v/76a6N+/fqmfTt16mQUFRV53A84z47jQZJRv359Y8SIEUZmZqaRn59f6n75+flGRkaGkZqaWuIcPXr0YDz44NdffzWysrJKPD799FNT/zZs2LDU/bKysoyDBw+Wew7mh/AXyqCZDwbBd99995Xov1dffbXMOaC8hye/O+YIe7P7eOA9RHC1atXKiIuLM+655x5j9uzZxokTJ8rcNy8vz5g2bZrRokWLEn0+ePDgCs/F3GB/dh4PzA32F+xgkfkB4ciO+Y1hcD2Fkh3HBK+5oUOmB0+Q6VUeds9vDIP5IZjsPh54/xB8ds5wDIP5IdjsPB6YH+yPTM8/EYZhGAKCpLCwUP/1X/+luXPnmrbXrVtXbdq0UfXq1bVjxw798MMPKj40q1Spom+//VbXXXddheeIiIgwlRcuXOjR98Dv3btXHTt21K5du0zbmzVrphYtWsgwDP3888/avn276d9TUlKUmZmpevXqVXgOmNlxPLjvHxsbqxYtWqhBgwa66KKLlJ+frwMHDmjNmjU6efJkiePbtWun7777TtWrV6+wbTBLSUnRzp07/apjyJAhmjx5cpn/zvwQPnbv3q2CgoIS2zMzM3X33Xe7yg0bNtSSJUtKrSMhIUFJSUllnsOX+aF+/fq69957lZ6errZt2yo6OrrEfgUFBZozZ47GjBmjtWvXmv6tR48emjdvXolzo3RW9pMn1ztzhL3ZfTzwHiK4UlNTtW7dOlc5IiJCTZs2VUpKimrWrKkqVaooNzdXO3fu1MaNG5Wfn1+ijltuuUX//ve/FRsbW+65mBvsz87jgbnB/hYtWqSuXbu6ysnJycrOzvboWOYHVBZ2zG8u4HoKDTuOCV5zQ4dMD8WR6cHu+c0FzA/BYffxwPuH4LNzhnMB80Pw2Hk8MD/YH5men4K/PhGVXW5urnHXXXeVWK1b1qNu3brG3LlzPa7f/XhPVgFfsGXLFqN169Yet61NmzbGtm3bfOgFXGC38eBpO9wfERERxrBhw7y6QxFmycnJPvf/hceQIUPKPQfzQ/iw43hw3z82NtZo06aN0bdvX2PQoEHGHXfcYdxwww1GQkJCqe1p165duXdFoSR/x4C31ztzhL3ZfTz42hbeQ/imVatWPvd5XFyc8eKLLxrnzp3z6FzMDfZn5/HA3GB/wb4L+QLmB4Qbu+U3xXE9hYbdxgSvuaFjxwynOOaI4LLjeHDfn0wvsPz9/Xt7rTM/2Jvdx4OvbeH9g+/snOEUx/wQHHYeD8wP9kem559IAUGWkJCgf/3rX/riiy/UsWPHMverVauWHn30Uf3000/q1atXUNp2+eWXa8WKFXrppZfUuHHjMvdr0qSJXnrpJWVmZqpp06ZBaZtT2W08vPbaa+rTp49q167t0f516tTR0KFDtXHjRr3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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,(ax1, ax2) = plt.subplots(1,2, figsize = (10, 5), dpi = 300)\n", "\n", "ax1.plot(t, save_0[0], label = 'f_1', color = 'black', linestyle = 'solid')\n", "ax1.plot(t, save_0[1], label = 'f_2', color = 'black', linestyle = 'dashed')\n", "ax1.plot(t, save_0[2], label = 'f_3', color = 'black', linestyle = 'dotted')\n", "\n", "ax1.set_xlabel('dimensionslose Zeit $\\Theta$ / 1')\n", "ax1.set_ylabel('Restanteil $f_i$ / 1')\n", "ax1.set_xlim(0,4)\n", "ax1.set_ylim(0,1)\n", "\n", "ax1.set_title('Verlauf für $f_{1,0}$ = 0')\n", "ax1.minorticks_on()\n", "\n", "ax1.grid(True)\n", "\n", "ax2.plot(t, save_1[0], label = '$f_1$', color = 'black', linestyle = 'solid')\n", "ax2.plot(t, save_1[1], label = '$f_2$', color = 'black', linestyle = 'dashed')\n", "ax2.plot(t, save_1[2], label = '$f_3$', color = 'black', linestyle = 'dotted')\n", "\n", "ax2.set_xlabel('dimensionslose Zeit $\\Theta$ / 1')\n", "ax2.set_ylabel('Restanteil $f_i$ / 1')\n", "ax2.set_xlim(0,4)\n", "ax2.set_ylim(0,1)\n", "\n", "ax2.set_title('Verlauf für $f_{1,0}$ = 1')\n", "ax2.minorticks_on()\n", "\n", "ax2.legend(loc = 'best')\n", "ax2.grid(True)\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.10" } }, "nbformat": 4, "nbformat_minor": 5 }