{ "cells": [ { "cell_type": "markdown", "id": "8f8a9d5f", "metadata": {}, "source": [ "# Methane Pyrolysis\n", "\n", "The following notebook runs a simple analysis of a methane pyrolysis experiment conducted using a TGA. The catalyst material is first reduced under hydrogen atmosphere, and used to convert Methane to a carbon material and hydrogen at elevated temperature. By following the weight increase of the sample, the reaction kinetics can be studied." ] }, { "cell_type": "code", "execution_count": 1, "id": "5f0a8c3a", "metadata": {}, "outputs": [], "source": [ "import pyTGA as tga\n", "import pandas as pd\n", "import numpy as np\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "markdown", "id": "f9113dd5", "metadata": {}, "source": [ "## Loading the data" ] }, { "cell_type": "markdown", "id": "b697e775", "metadata": {}, "source": [ "In the quickplot we can clearly see the weight increase due to carbon buildup on the catalyst." ] }, { "cell_type": "code", "execution_count": 2, "id": "9286c374", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#loading the data\n", "import os\n", "data_dir = os.path.abspath(os.path.join(os.getcwd(), '..', '..', '..', 'example_data'))\n", "tga_exp = tga.parse_PE(os.path.join(data_dir, 'Methane_Pyrolysis.txt'))\n", "#quickplot to look at the whole experiment\n", "tga_exp.quickplot()\n" ] }, { "cell_type": "markdown", "id": "a73d6731", "metadata": {}, "source": [ "## Pre-processing\n", "We first extract the weight of the catalyst material, then isolate the section of data that contains the actual methane pyrolysis experiment. To determine the mass of carbon formed, we subtract the first weight at the start of the stage. We then calculate a derivative to determine the rate." ] }, { "cell_type": "code", "execution_count": 3, "id": "eb80c550", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mass_catalyst = tga_exp.get_stage('stage1')['Unsubtracted weight'].min()\n", "mass_catalyst_reduced = tga_exp.get_stage('stage2')['Unsubtracted weight'].min()\n", "cracking_stage = 'stage6'\n", "\n", "data = tga_exp.get_stage(cracking_stage)\n", "data['Carbon yield'] = data['Unsubtracted weight'] - data['Unsubtracted weight'].iloc[0]\n", "data['Pyrolysis time'] = data['Time'] - data['Time'].iloc[0]\n", "\n", "#rate, deviding by 60 to convert from minutes to seconds\n", "data['Rate'] = data['Carbon yield'].diff() / data['Pyrolysis time'].diff() / 60\n", "\n", "#plotting\n", "fig, ax = plt.subplots()\n", "ax2 = ax.twinx()\n", "ax.plot(data['Pyrolysis time'], data['Carbon yield'], label='Carbon yield')\n", "ax2.plot(data['Pyrolysis time'], data['Rate'], label='Rate', linestyle='--', )\n", "\n", "ax.set_xlim(0,)\n", "ax.set_ylim(0,)\n", "ax.set_xlabel('Time ({})'.format(tga_exp.time_unit))\n", "ax.set_ylabel('Carbon yield (mg)')\n", "ax2.set_ylabel('Rate ({}/s)'.format(tga_exp.weight_unit))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "664d6baa", "metadata": {}, "source": [ "## Fitting\n", "\n", "To extract kinetic parameters, we fit the following equation:\n", "\\begin{equation}\n", "r(t) = \\frac{1}{\\left[1 + (d - 1)r_d t\\right]^{\\frac{1}{d-1}}} \\cdot r_0\n", "\\end{equation}\n", "\n", "Where $r(t)$ is the rate of carbon formation at time $t$, $r_0$ the initial rate, d a deactivation factor, and $r_d$ the rate of deactivation.\n", "For the fit, we calcualte the rate in units of the mass of the reduced catalyst and discard the datapoints before reaching the maximum. \n" ] }, { "cell_type": "code", "execution_count": null, "id": "edbf988d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fitted parameters:\n", "r0: 0.0016 ± 0.0000 (1/s) \n", "rd: 0.1214 ± 0.0009 \n", "d: 1.3940 ± 0.0055\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data['Rate_corr'] = data['Rate']/mass_catalyst_reduced \n", "data_fit = data.iloc[data['Rate'].idxmax():].copy()\n", "\n", "from scipy.optimize import curve_fit\n", "def model(t, r0, rd, d):\n", " return r0 / ((1 + (d - 1) * rd * t) ** (1 / (d - 1)))\n", "\n", "initial_guess = [0.009, 0.11647663, 1.39403578]\n", "popt, pcov = curve_fit(model, data_fit['Pyrolysis time'], data_fit['Rate_corr'], p0=initial_guess, maxfev=10000)\n", "\n", "output_dict = {\n", " 'r0': popt[0],\n", " 'rd': popt[1],\n", " 'd': popt[2]\n", "}\n", "errors = {\n", " 'r0': np.sqrt(np.diag(pcov))[0],\n", " 'rd': np.sqrt(np.diag(pcov))[1],\n", " 'd': np.sqrt(np.diag(pcov))[2]\n", "}\n", "\n", "print('Fitted parameters:'\n", " '\\nr0: {:.4f} ± {:.4f} ({})'.format(output_dict['r0'], errors['r0'], '1/s'),\n", " '\\nrd: {:.4f} ± {:.4f}'.format(output_dict['rd'], errors['rd']),\n", " '\\nd: {:.4f} ± {:.4f}'.format(output_dict['d'], errors['d']))\n", "\n", "# Plotting the fitted model\n", "t_fit = np.linspace(data_fit['Pyrolysis time'].min(), data_fit['Pyrolysis time'].max(), 100)\n", "r_fit = model(t_fit, *popt)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(data['Pyrolysis time'], data['Rate_corr'], label='Experimental rate')\n", "ax.plot(t_fit, r_fit, label='Fitted model', color='red')\n", "ax.set_xlabel('Time ({})'.format(tga_exp.time_unit))\n", "ax.set_ylabel('Rate (1/s)')\n", "ax.legend(frameon=False)\n", "ax.set_xlim(0, data['Pyrolysis time'].max())\n", "ax.set_ylim(0, data['Rate_corr'].max() * 1.1)\n", "plt.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 5 }