{ "cells": [ { "cell_type": "markdown", "id": "8c249fb9-d295-4c90-a955-00688b031ba4", "metadata": {}, "source": [ "# Beispiel 9.2: Parallelreaktion im CSTR\n", "Bearbeitet von Amke Wiesner" ] }, { "cell_type": "markdown", "id": "c14717c2-f0aa-4a16-8f18-8736c1614174", "metadata": {}, "source": [ "Dieses Beispiel befindet sich im Lehrbuch auf den Seiten 117 - 119. Die Nummerierung der verwendeten Gleichnungen entspricht der Nummerierung im Lehrbuch. Das hier angewendete Vorgehen entspricht dem im Lehrbuch vorgestellten Lösungsweg." ] }, { "cell_type": "markdown", "id": "28388e93-3df1-401c-911e-6db6ac85f47f", "metadata": {}, "source": [ "# Code" ] }, { "cell_type": "markdown", "id": "04be9caf-ea00-4e72-9717-354ba37a2ca1", "metadata": {}, "source": [ "Zunächst werden die benötigten Pakete importiert. Das Paket sklearn wird für die linearen Regressionen verwendet. \n", "Hilfestellungen und Alternativen zum Paket sklearn sind unter folgendem Link zu finden:\n", "https://realpython.com/linear-regression-in-python/" ] }, { "cell_type": "code", "execution_count": 1, "id": "375bfd62-b183-4566-9f3f-439980e1e7ab", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.linear_model import LinearRegression" ] }, { "cell_type": "markdown", "id": "c2bda1ef-dfd4-4f5b-bbde-58c77e7bbe95", "metadata": {}, "source": [ "Bekannte Werte aus der Aufgabenstellung werden in Variablen und Arrays angelegt." ] }, { "cell_type": "code", "execution_count": 2, "id": "4123960f-9c1e-4557-b3c1-40493d0ae822", "metadata": {}, "outputs": [], "source": [ "tau = np.array([3, 6, 9, 12, 15 ]) # Zeit aus Tabelle 9.1\n", "c_1 = np.array([0.645, 0.425, 0.298, 0.250, 0.198]) # Konz. 1 aus Tabelle 9.1\n", "c_2 = np.array([0.672, 0.847, 0.930, 0.990, 1.030]) # Konz. 2 aus Tabelle 9.1\n", "\n", "c_1e = 1.5 # kmol / m³ # Zulaufkonzentration Komp. 1\n", "c_2e = 0 # kmol / m³ # Zulaufkonzentration Komp. 2\n", "c_3e = 0 # kmol / m³ # Zulaufkonzentration Komp. 3" ] }, { "cell_type": "markdown", "id": "3f428fe3-42da-431a-b763-659a7e845a43", "metadata": {}, "source": [ "## Berechnen der Reaktionsgeschwindigkeiten $r_1$ und $r_2$\n", "Zunächst werden für jeden Zeitpunkt die Reaktionsgeschwindigkeiten $r_1$ und $r_2$ berechnet. Die Herleitung der verwendeten Gleichungen kann im Lehrbuch im Beispiel 9.2 nachgelesen werden. Zur Berechnung von $r_1$ wird folgende Formel verwendet:\n", "\\begin{equation*}\n", "r_\\text{1} = \\frac{c_\\text{2}}{\\overline{\\tau}}\n", "\\end{equation*}" ] }, { "cell_type": "code", "execution_count": 3, "id": "8a4efd32-8290-4e77-ad28-369c43ed543d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "r1 / kmol/(m³ min):\n", "[0.224 0.14116667 0.10333333 0.0825 0.06866667]\n" ] } ], "source": [ "r_1 = np.divide(c_2, tau)\n", "print('r1 / kmol/(m³ min):')\n", "print(r_1)" ] }, { "cell_type": "markdown", "id": "714a8018-5c2b-4c01-b2d0-f8504e862892", "metadata": {}, "source": [ "Die Reaktionsgeschwindigkeit $r_2$ berechnet sich wie folgt:\n", "\\begin{equation*}\n", "r_\\text{2} = \\frac{c_\\text{1,e} - c_\\text{1}}{\\overline{\\tau}} - r_\\text{1}\n", "\\end{equation*}" ] }, { "cell_type": "code", "execution_count": 4, "id": "9f02a6e1-f0cb-4668-b657-dff97d8f7a01", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "r2 / kmol/(m³ min):\n", "[0.061 0.038 0.03022222 0.02166667 0.01813333]\n" ] } ], "source": [ "r_2 = np.subtract(np.divide(np.subtract(c_1e, c_1), tau), r_1)\n", "print('r2 / kmol/(m³ min):')\n", "print(r_2)" ] }, { "cell_type": "markdown", "id": "3e37014e-0bb1-47ce-8816-b19303579c88", "metadata": {}, "source": [ "Die berechneten Werte für $r_\\text{1}$ und $r_\\text{2}$ werden in einer Grafik dargestellt." ] }, { "cell_type": "code", "execution_count": 5, "id": "3bae9485-ed24-4d67-99e8-aa45c3690805", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (3,3), dpi = 500)\n", "plt.plot(c_1, r_1, '^', color = 'orange', label = '$r_1$')\n", "plt.plot(c_1, r_2, 'o', color = 'red', label = '$r_2$')\n", "\n", "plt.xlabel('$c_1$ / kmol m$^{-3}$')\n", "plt.ylabel('$r_j$ / kmol m$^{-3}$ min $^{-1}$')\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 0.3)\n", "\n", "plt.legend(loc = 'upper left')\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f66b5ea0-838c-476f-b7c2-7192ebfaf48d", "metadata": {}, "source": [ "## Lineare Regression für $r_\\text{1}$ und $r_\\text{2}$ erstellen" ] }, { "cell_type": "markdown", "id": "9be9e8e5-fdcb-4bbe-96a4-d355700c8956", "metadata": {}, "source": [ "### Vorgehen für $r_\\text{1}$" ] }, { "cell_type": "markdown", "id": "83b3f822-fb10-4517-b974-694aec3013b7", "metadata": {}, "source": [ "*Reshape c_1*, um eine 2-dimensionale Matrix zu erhalten:" ] }, { "cell_type": "code", "execution_count": 6, "id": "c178d745-1392-4b2f-b540-256658a966ad", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0.645]\n", " [0.425]\n", " [0.298]\n", " [0.25 ]\n", " [0.198]]\n" ] } ], "source": [ "c_1_res = c_1. reshape(-1,1)\n", "print(c_1_res)" ] }, { "cell_type": "markdown", "id": "6ae6f2b2-c2a4-417b-901a-0cb418402264", "metadata": {}, "source": [ "Erstellen des Regressionsmodells:\n", "\n", "Durch das Argument *fit\\_intercept = False* wird der y-Achsenabschnitt gleich null gesetzt. Die Regressionsgerade verläuft also durch den Ursprung des Koordinatensystems. \n", "\n", "Für *fit\\_intercept = True* wird der y-Achsenabschnitt frei angepasst." ] }, { "cell_type": "code", "execution_count": 7, "id": "6c6aa8db-356c-498f-93c1-e5ac6935f143", "metadata": {}, "outputs": [], "source": [ "model_1 = LinearRegression(fit_intercept = False).fit(c_1_res, r_1)" ] }, { "cell_type": "code", "execution_count": 8, "id": "76598141-b123-4fea-b584-b6a3db4a40ad", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "coefficient of determation: 0.9973597086926237\n", "k1: [0.34235842]\n", "b1 : 0.0\n" ] } ], "source": [ "r_sq_1 = model_1.score(c_1_res, r_1)\n", "print('coefficient of determation:', r_sq_1)\n", "k_1 = model_1.coef_\n", "print('k1: ', k_1)\n", "b_1 = model_1.intercept_\n", "print('b1 : ', b_1)" ] }, { "cell_type": "markdown", "id": "bc0fe647-05e1-4999-a57c-6b2e2948f8ef", "metadata": {}, "source": [ "Für die Darstellung im Diagramm wird an dieser Stelle die Regressionsfunktion mit den ermittelten Koffizienten *k1* und *b_1* angelegt. Die Konzentration *c_1* wird für die Darstellung als *np.linspace* angelegt." ] }, { "cell_type": "code", "execution_count": 9, "id": "aca2d035-a9b1-42c5-a929-bb5501b50db8", "metadata": {}, "outputs": [], "source": [ "def r_1_reg(c_1_reg):\n", " return k_1 * c_1_reg + b_1\n", "\n", "c_1_reg = np.linspace(0, 1.5, 16)" ] }, { "cell_type": "markdown", "id": "11c834b0-4e27-4e5b-9607-7eafe0dca878", "metadata": {}, "source": [ "Dieses Vorgehen wird für die Reaktionsgeschwindigkeit $r_\\text{2}$ wiederholt." ] }, { "cell_type": "markdown", "id": "2eea7922-e85c-4677-b98d-302bdce90565", "metadata": {}, "source": [ "### Vorgehen für $r_\\text{2}$" ] }, { "cell_type": "code", "execution_count": 10, "id": "ff075947-1a4a-4b81-95c5-75d85e857b6d", "metadata": {}, "outputs": [], "source": [ "model_2 = LinearRegression(fit_intercept = False).fit(c_1_res, r_2)" ] }, { "cell_type": "code", "execution_count": 11, "id": "f7ae93bb-e050-435e-9e05-94f431361e10", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "coefficient of determation: 0.9895812356358917\n", "k2: [0.09338441]\n", "b2: 0.0\n" ] } ], "source": [ "r_sq_2 = model_2.score(c_1_res, r_2)\n", "print('coefficient of determation:', r_sq_2)\n", "k_2 =model_2.coef_\n", "print('k2: ', k_2)\n", "b_2 = model_2.intercept_\n", "print('b2: ', b_2)" ] }, { "cell_type": "code", "execution_count": 12, "id": "78861ff9-9f70-46de-9f01-950e7a82850e", "metadata": {}, "outputs": [], "source": [ "def r_2_reg(c_1_reg):\n", " return k_2 * c_1_reg + b_2" ] }, { "cell_type": "code", "execution_count": 13, "id": "cd48048f-1c7e-455d-a37a-6eb2519ef4d5", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (4,4), dpi = 400)\n", "plt.plot(c_1, r_1, '^', color = 'orange', label = '$r_1$')\n", "plt.plot(c_1, r_2, 'o', color = 'red', label = '$r_2$')\n", "plt.plot(c_1_reg, r_1_reg(c_1_reg), linestyle = 'solid', color = 'orange')\n", "plt.plot(c_1_reg, r_2_reg(c_1_reg), linestyle = 'solid', color = 'red' )\n", "\n", "plt.text(0.38, 0.16, ('$r_1 = 0,342$ min $^{-1} c_1$'), rotation = 48)\n", "plt.text(0.50, 0.06, ('$r_2 = 0,093$ min $^{-1} c_1$'), rotation = 16)\n", "\n", "plt.xlabel('$c_1$ / kmol m$^{-3}$')\n", "plt.ylabel('$r_j$ / kmol m$^{-3}$ min $^{-1}$')\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 0.3)\n", "\n", "plt.legend(loc = 'upper left')\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a3b3f54e-3580-4273-a2ee-02c19e5844b4", "metadata": {}, "source": [ "## Umsatzgrad und Selektivität" ] }, { "cell_type": "markdown", "id": "f4b7caf9-e723-4d1a-bdd8-57ab6c58ab62", "metadata": {}, "source": [ "Mit den nun bekannten Geschwindigkeitskonstanten $k_1$ und $k_2$ werden die Konzentrationen $c_1$ und $c_2$ nach einer Verweilzeit von $\\overline{\\tau} = 30$ min berechnet werden. Dazu werden die Glg. (9.22) und (9.23) verwendet." ] }, { "cell_type": "code", "execution_count": 14, "id": "29bd1c75-331c-4068-8540-0bd33e8c886c", "metadata": {}, "outputs": [], "source": [ "tau_max = 30 # min maximale Verweilzeit" ] }, { "cell_type": "code", "execution_count": 15, "id": "0c3f6e2e-de5a-4e8d-aa0a-5b307a190c98", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "c1: 0.107 kmol/m³\n", "c2: 1.095 kmol/m³\n" ] } ], "source": [ "# Glg. (9.22)\n", "c1 = c_1e / (1 + tau_max * (k_1 + k_2))\n", "print('c1: ', round(c1[0], 3), 'kmol/m³')\n", "\n", "# Glg. (9.23)\n", "c2 = (tau_max * k_1 * c_1e) / (1 + tau_max * (k_1 + k_2))\n", "print('c2: ', round(c2[0], 3), 'kmol/m³')" ] }, { "cell_type": "markdown", "id": "71f1c791-f8e2-4f94-b827-7a174026b8c8", "metadata": {}, "source": [ "Die Gleichungen, die zur Berechnung des Umsatzgrades und der Selektivität verwendet werden, sind ebenfalls dem Beispiel im Lehrbuch entnommen." ] }, { "cell_type": "code", "execution_count": 16, "id": "8ea02629-a80f-4fc3-a0d9-f7ecb0377926", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Umsatzgrad: 0.9289 = 92.89 %\n", "Selektivität: 0.7857 = 78.57 %\n" ] } ], "source": [ "U = 1 - c1 / c_1e\n", "print('Umsatzgrad: ', round(U[0], 4), ' = ', round(U[0] * 100,2), '%')\n", "\n", "S_21 = - c2 / (c1 - c_1e)\n", "print('Selektivität: ', round(S_21[0], 4), ' = ', round(S_21[0] * 100, 2), '%')" ] } ], "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 }