{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "ChEn-3170: Computational Methods in Chemical Engineering Spring 2024 UMass Lowell; Prof. V. F. de Almeida **26Mar24**\n", "\n", "# 17. Ordinary Differential Equations Introduction \n", "$ \n", " \\newcommand{\\Amtrx}{\\boldsymbol{\\mathsf{A}}}\n", " \\newcommand{\\Bmtrx}{\\boldsymbol{\\mathsf{B}}}\n", " \\newcommand{\\Mmtrx}{\\boldsymbol{\\mathsf{M}}}\n", " \\newcommand{\\Imtrx}{\\boldsymbol{\\mathsf{I}}}\n", " \\newcommand{\\Pmtrx}{\\boldsymbol{\\mathsf{P}}}\n", " \\newcommand{\\Lmtrx}{\\boldsymbol{\\mathsf{L}}}\n", " \\newcommand{\\Umtrx}{\\boldsymbol{\\mathsf{U}}}\n", " \\newcommand{\\Smtrx}{\\boldsymbol{\\mathsf{S}}}\n", " \\newcommand{\\xvec}{\\boldsymbol{\\mathsf{x}}}\n", " \\newcommand{\\uvar}{\\boldsymbol{u}}\n", " \\newcommand{\\fvar}{\\boldsymbol{f}}\n", " \\newcommand{\\avec}{\\boldsymbol{\\mathsf{a}}}\n", " \\newcommand{\\bvec}{\\boldsymbol{\\mathsf{b}}}\n", " \\newcommand{\\cvec}{\\boldsymbol{\\mathsf{c}}}\n", " \\newcommand{\\rvec}{\\boldsymbol{\\mathsf{r}}}\n", " \\newcommand{\\mvec}{\\boldsymbol{\\mathsf{m}}}\n", " \\newcommand{\\gvec}{\\boldsymbol{\\mathsf{g}}}\n", " \\newcommand{\\zerovec}{\\boldsymbol{\\mathsf{0}}}\n", " \\newcommand{\\norm}[1]{\\bigl\\lVert{#1}\\bigr\\rVert}\n", " \\newcommand{\\transpose}[1]{{#1}^\\top}\n", " \\DeclareMathOperator{\\rank}{rank}\n", "$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Table of Contents\n", "* [Objectives](#obj)\n", "* [Introduction](#intro)\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Objectives\n", "+ Brief introduction to ordinary differential equations encountered in chemical reaction engineering.\n", "+ Setup of chemical/nuclear reactors dynamic models and computational methods for solving the governing equations.\n", "+ Creation of a professional report to present the solution process and analysis in one document." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "\n", "At the moment, the elements of theory needed are in the course notes (OneNote [ChEn-3170-chen-odes](https://studentuml-my.sharepoint.com/:o:/g/personal/valmor_dealmeida_uml_edu/EiQsWDfO9gZCo2cqBLYorYkBZ9Mcuy3gLDhL5TfYAd9OQQ?e=eniV8s)." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.12.3" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false } }, "nbformat": 4, "nbformat_minor": 4 }