{ "metadata": { "name": "", "signature": "sha256:c6a6dbba9f068ae0cd14763a3ec3c2ac4a00be58c6f6ef506a1a335382ad80fe" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Heterogeneous Stirred Tank Reactor (with Python!)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Author: [CAChemE.org](CAChemE.org) ~ License: CC BY 4.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![img](Het-STR-Python.gif)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Loading our favorite python libraries\n", "\n", "%matplotlib inline\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import odeint\n", "\n", "from __future__ import division\n", "\n", "plt.style.use('fivethirtyeight')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.html.widgets import interact\n", "from IPython.display import clear_output, display, HTML" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok we are ready to go!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def STreactor(C_A0 = 10.2, C_B0 = 0, C_C0 = 0, cat_load = 0.2):\n", " ''' Batch STR reactor model\n", "\tinitial conditions (concentrations of A, B and C)\n", "\tshould be given in [mol*L-1]\n", " \n", " catalyst load is given in %\n", "\t'''\n", "\t\n", " C_A0 = C_A0 # mol*L-1\n", " C_B0 = C_B0 # mol*L-1\n", " C_C0 = C_C0 # mol*L-1\n", "\t\n", "\t\n", " C_D0 = 0 # mol*L-1\n", " C_H0 = 19.2 # mol*L-1\n", "\n", " mtot = 200 # g of A in a semibatch reactor\n", "\n", " # Molecular weights\n", " MW = [84.118, 86.132, 88.148, 160, 1.008] # g mol-1\n", "\n", " dens = 0.86 # g.mL-1 average denstiy of A\n", " # Note: Assumes similar densities of all the compounds \n", " # Reaction volume\n", " VL = mtot/MW[0]/C_A0 # in L\n", "\n", "\n", " To = 348 # K - Initial temperature (75\u00baC)\n", "\n", "\n", " # Catalyst\n", " CatalystMass = 0.3829 # in [g]\n", " CatAvalaible = cat_load/100 # Percent \n", "\n", " CatMW = 106.42\n", "\n", " nCat = (CatalystMass*CatAvalaible)/CatMW\n", "\n", "\n", " # System reaction paramiters\n", " # Matrix with stoichiometry coefficients \n", " # i reactions, j components (RxS)\n", " # j components in this order: 1 2 3 4 5 \n", " # A B C D H\n", " alfa = np.array([\n", " [-1, 1, 0, 0, -1],\n", " [0, -1, 1, 0, -1],\n", " [-1, 0, 1, 0, -2],\n", " [-2, 0, 0, 1, -2],\n", " ], dtype=float)\n", "\n", " Nreactions, Ncomponents = alfa.shape\n", "\n", "\n", " def f(y,t):\n", " ''' y is a vector with the concentration\n", "\t\tt is the indpendt variable (time)\n", "\t\t'''\n", "\n", " C = y[:] # mol*L-1\n", " \n", "\t\t# If you don't understand this\n", "\t\t# you can uncomment the following line and\n", "\t\t# run this part of the code line by line\n", "\t\t\n", "\t\t#import pdb; pdb.set_trace()\n", " # k=ko*exp(-Ea/(R*T));\n", "\t\t\n", "\t\t# Kinetic parameters\n", "\n", " kp1 = 99627.28 # L.molCat-1.s-1\n", " kp2 = 1884.84 # L.molCat-1.s-1\n", " kp3 = 915.49 # L.molCat-1.s-1\n", " kp4 = 479.29 # L.molCat-1.s-1\n", " K_A = 17.50 # L.mol-1\n", " K_B = 1.97 # L.mol-1\n", " K_H = 0.04 # non-dimensional\n", " Kest = 9.13 # L.mol-1\n", "\n", " #(1xR) en mol.molCat-1.s-1\n", " r1 = kp1*C[0] / (1+K_A*C[0]+np.sqrt(K_H)+K_B*C[1]+Kest*(C[2]+C[3]))**2 \n", " r2 = kp2*C[1] / (1+K_A*C[0]+np.sqrt(K_H)+K_B*C[1]+Kest*(C[2]+C[3]))**2 \n", " r3 = kp3*C[0] / (1+K_A*C[0]+np.sqrt(K_H)+K_B*C[1]+Kest*(C[2]+C[3]))**2\n", " r4 = kp4*C[0] / (1+K_A*C[0]+np.sqrt(K_H)+K_B*C[1]+Kest*(C[2]+C[3]))**2\n", "\n", "\n", " # D.Eqs\n", "\n", " dCAdt = nCat/VL*(-r1-r3-2*r4)\n", " dCBdt = nCat/VL*(r1-r2)\n", " dCCdt = nCat/VL*(r2+r3)\n", " dCDdt = nCat/VL*r4\n", " dCHdt = 0\n", "\n", "\n", " return [dCAdt, dCBdt, dCCdt, dCDdt, dCHdt]\n", "\n", "\n", " Ci0 = [C_A0, C_B0, C_C0, C_D0, C_H0] # mol*L-1\n", " t = np.linspace(0, 400.*60, 100000) # time grid\n", "\n", " # solving the DEs\n", " soln = odeint(f, Ci0, t)\n", "\n", " C_A0 = soln[:, 0] # mol*L-1\n", " C_B0 = soln[:, 1] # mol*L-1\n", " C_C0 = soln[:, 2] # mol*L-1\n", " C_D0 = soln[:, 3] # mol*L-1\n", " C_H20 = soln[:, 4] # mol*L-1\n", "\n", " t = t/60 # conversion to min\n", "\n", " \n", " # Plotting the results\n", "\n", " fig, ax1 = plt.subplots(figsize=(8,6))\n", "\n", " ax1.plot(t, C_A0, t, C_B0, t, C_C0)\n", " ax1.set_xlabel('time (min)')\n", "\n", " ax1.set_ylabel('$C_{i}$ (mol/L)')\n", "\n", " ax1.legend(['$C_A$','$C_B$','$C_C$'])\n", "\n", " plt.title('Heterogeneous STR: A -> B -> C')\n", " plt.suptitle('(CAChemE.org)')\n", " \n", " ax1.set_xlim([0,400])\n", " ax1.set_ylim([0,12])\n", " \n", "\t#ax2 = ax1.twinx()\n", " #ax2.plot(t, C_D0, color='y', ylim=(0,0.20) )\n", " #ax2.set_ylabel('Concentration [mol/L] of D')\n", " \n", " plt.show()\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "interact(STreactor,\n", " C_A0=(0.1,20,0.1), C_B0=(0.1,20,0.1),\n", " C_C0=(0.1,20,0.1), cat_load=(0.01,2.01,0.01) )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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yd+9efvzxR/766y8OHjyIWq3Gy8uLhg0b8sYbb5idk5l1Ydzc3Ni0aRNLlixh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