7-Cantera-heptane-ignition.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Installing Cantera\n",
    "For this notebook you will need [Cantera](http://www.cantera.org/), an open source suite of object-oriented software tools for problems involving chemical kinetics, thermodynamics, and/or transport processes.\n",
    "Fortunately a helpful chap named Bryan Weber has made Anaconda packages, so to install you can simply type \n",
    "```\n",
    "conda install -c bryanwweber cantera\n",
    "```\n",
    "at your terminal (if you can remember back to when you installed Anaconda!).\n",
    "If you are on Windows you will probably also need to install the Visual C++ Redistributable which you can get [from Microsoft here](https://www.microsoft.com/en-us/download/details.aspx?id=48145).\n",
    "There are other, more difficult, ways to install it in [the instructions](http://www.cantera.org/docs/sphinx/html/install.html) if you can't get the Anaconda packages to work. It is also already on the COE computer lab 274 Snell (though there you will have to `pip install jupyter` to get this notebook working)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# First, import cantera, with the nickname `ct` to save us some typing later.\n",
    "import cantera as ct\n",
    "\n",
    "# Then the usual suspects:\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Heptane combustion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Download the reduced n-heptane model from LLNL https://combustion.llnl.gov/archived-mechanisms/alkanes/heptane-reduced-mechanism. Save the files alongside this python notebook. These files are in \"CHEMKIN\" format. First, we have to convert them into a format that is usable by Cantera. \n",
    "This may take a while and issue some warnings, but then end by saying `Validating mechanism...PASSED`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:root:Skipping unexpected species \"ar\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c2h5oh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"sc2h4oh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h7\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h8\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc4h9\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h9\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h10\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h10\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5h12\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h11\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"bc5h11\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc5h11\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"dc5h11\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h10\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"bc5h10\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc5h10\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5h9\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5h12\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h11-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5h12\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5h11\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c2h5o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch3co2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c2h4o1,2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch2o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch3co3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch3co3h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6ooh1-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6ooh1-2o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6ooh1-3o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6ooh2-1o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc3h7o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h7o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6o1-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h8o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h8oh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"io2c4h8oh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h7o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8oh-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8oh-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"o2c4h8oh-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"o2c4h8oh-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8ooh1-2o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8ooh1-4o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8ooh2-1o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8ooh2-3o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8ooh2-4o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc4h8ooh-io2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h8ooh-io2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h8ooh-to2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8ooh1-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8ooh2-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8ooh2-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8ooh2-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h8ooh-i\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h8ooh-t\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc4h8ooh-i\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8o1-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8o1-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8o2-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc4h8o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"pc4h9o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"sc4h9o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h9o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc4h9o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"pc4h9o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"sc4h9o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h9o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc4h9o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc4h9o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h9o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"sc4h9o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch3coch2o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch3coch2o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch3coch2o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5ketox\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5kejol\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h11o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"bc5h11o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc5h11o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"dc5h11o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h11o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"bc5h11o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc5h11o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"dc5h11o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h11o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"bc5h11o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc5h11o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"dc5h11o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h10ooh-a\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h10ooh-b\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h10ooh-c\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h10ooh-d\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"bc5h10ooh-a\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"bc5h10ooh-c\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"bc5h10ooh-d\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc5h10ooh-a\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc5h10ooh-b\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc5h10ooh-d\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"dc5h10ooh-a\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"dc5h10ooh-b\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"dc5h10ooh-c\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h10ooh-ao2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h10ooh-bo2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h10ooh-co2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac5h10ooh-do2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"bc5h10ooh-ao2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"bc5h10ooh-co2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"bc5h10ooh-do2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc5h10ooh-ao2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc5h10ooh-bo2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"cc5h10ooh-do2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"dc5h10ooh-ao2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"dc5h10ooh-bo2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"dc5h10ooh-co2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"a-ac5h10o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"a-bc5h10o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"a-cc5h10o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"a-dc5h10o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"b-cc5h10o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"b-dc5h10o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c-dc5h10o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h11o2-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h11o2-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h11o2-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h11o2h-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h11o2h-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h11o2h-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h11o-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h11o-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h11o-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh1-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh1-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh1-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh1-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh2-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh2-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh2-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh2-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh3-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh3-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh1-2o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh1-3o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh1-4o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh1-5o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh2-1o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh2-3o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh2-4o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh2-5o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh3-1o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10ooh3-2o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10o1-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10o1-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10o1-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10o1-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10o2-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10o2-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5h11o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5h11o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5h11o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5h10ooh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5h10ooh-o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neo-c5h10o\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ho2cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"o2cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ocho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3ket12\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3ket13\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3ket21\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc4ket12\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc4ket14\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc4ket21\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc4ket23\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc4ket24\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4ketii\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4ketit\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5ket\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5ket12\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5ket13\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5ket14\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5ket15\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5ket21\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5ket23\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5ket24\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5ket25\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5ket31\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5ket32\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5ketaa\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5ketab\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5ketac\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5ketad\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5ketca\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5ketcb\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5ketcd\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5ketda\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5ketdb\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic5ketdc\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h7-i1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6oh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"hoc3h6o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"o2c2h4o2h\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch2o2hcho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h7ooh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h5cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc3h6ocho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc3h6cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h7cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h7oh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h6co\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h6oh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h5co\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h7co\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc3h6o2cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc3h6o2hco\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h5o2hcho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc3h6ohcho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc3h6oh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h5oh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc4h8cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"o2c4h8cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"o2hc4h8co\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"o2hc4h7cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h5oh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch2cch2oh\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c2h5coch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch2choohcoch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch3choohcoch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch3choococh3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch3chcoch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c2h3coch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch2ch2cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6cho-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c2h5chco\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h5coch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h5coch2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac3h4coch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"sc3h5coch2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch3chocho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ch3chcho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"sc3h5cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"sc3h5co\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h6cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6cho-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c2h5coc2h5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c2h5coc2h4s\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c2h5coc2h3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"pc2h4coc2h3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"sc2h4coc2h3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h6chcho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h6chco\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac3h5chcho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h6chcoch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac3h5chcoch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h6chcoch2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc3h7coch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6coch3-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6coch3-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6coch3-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h7coch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h7coch2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h6coch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc3h6coch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc3h7coc2h5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6coc2h5-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6coc2h5-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c3h6coc2h5-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc3h7coc2h4p\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc3h7coc2h4s\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h7coc2h5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h6coc2h5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc3h6coc2h5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h7coc2h4p\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h7coc2h4s\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h7coc2h3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h6coc2h3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"tc3h6coc2h3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h5coc2h5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac3h4coc2h5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h5coc2h4p\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic3h5coc2h4s\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac3h5cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ac3h5co\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c2h3chcho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8cho-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8cho-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8cho-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8cho-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5h9q2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"neoc5h9q2-n\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ic4h6q2-ii\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6h14\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h13-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h13-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12o1-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12o1-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12o1-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12o1-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12o2-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12o2-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12o2-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12o3-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h13o2h-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h13o2h-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h13o2h-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h13o2-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h13o2-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h13o2-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh1-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh1-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh1-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh1-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh2-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh2-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh2-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh2-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh2-6\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh3-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh3-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh3-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh3-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh3-6\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh1-2o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh1-3o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh1-4o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh1-5o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh2-1o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh2-3o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh2-4o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh2-5o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh2-6o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh3-1o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh3-2o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh3-4o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh3-5o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h12ooh3-6o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket12\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket13\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket14\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket15\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket21\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket23\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket24\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket25\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket26\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket31\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket32\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket34\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket35\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc6ket36\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h13o-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h13o-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h13o-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h15o2h-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h15o-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh1-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh2-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh2-6\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh3-7\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh4-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh1-2o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh1-4o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh1-5o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh2-1o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh2-6o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh3-7o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14ooh4-1o2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14o1-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14o1-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14o2-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14o2-6\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c7h14o3-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc7ket12\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc7ket14\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc7ket15\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc7ket21\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc7ket26\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc7ket37\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc7ket41\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5h11cho\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc5h11co\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10cho-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10cho-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10cho-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10cho-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h10cho-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h7cho1-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h7co1-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h6cho1-43\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h6cho1-44\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"nc4h9coch3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8coch3-1\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8coch3-2\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8coch3-3\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h8coch3-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h9ooh1-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c5h9o1-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h11ooh1-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h11o1-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h11ooh1-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c6h11o1-5\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"c4h71-4\" while reading thermodynamics entry.\n",
      "INFO:root:Skipping unexpected species \"ar\" while reading thermodynamics entry.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wrote CTI mechanism file to 'heptanesymp159.cti'.\n",
      "Mechanism contains 160 species and 1540 reactions.\n",
      "Validating mechanism...\n",
      "\n",
      "**** WARNING ****\n",
      "For species c7h15o-1, discontinuity in cp/R detected at Tmid = 1391\n",
      "\tValue computed using low-temperature polynomial:  53.0168.\n",
      "\tValue computed using high-temperature polynomial: 52.748.\n",
      "PASSED.\n"
     ]
    }
   ],
   "source": [
    "from cantera import ck2cti\n",
    "ck2cti.main(['--input=heptanesymp159_mec.txt',\n",
    "             '--thermo=heptanesymp_therm.txt',\n",
    "             '--permissive',\n",
    "             '--output=heptanesymp159.cti'])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clearly, with 160 species and 1540 reactions, this mechanism is more detailed than any we have considered before!\n",
    "Now, let's create a 'Solution' phase in Cantera called `gas` from the Cantera mechanism file we just created."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "**** WARNING ****\n",
      "For species c7h15o-1, discontinuity in cp/R detected at Tmid = 1391\n",
      "\tValue computed using low-temperature polynomial:  53.0168.\n",
      "\tValue computed using high-temperature polynomial: 52.748.\n"
     ]
    }
   ],
   "source": [
    "gas = ct.Solution('heptanesymp159.cti')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's examine some of the reactions and species in the mechanism.\n",
    "\n",
    "This will return the first 10 reactions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['ch3 + h (+M) => ch4 (+M)',\n",
       " 'ch4 (+M) => ch3 + h (+M)',\n",
       " 'ch4 + h => ch3 + h2',\n",
       " 'ch3 + h2 => ch4 + h',\n",
       " 'ch4 + oh => ch3 + h2o',\n",
       " 'ch3 + h2o => ch4 + oh',\n",
       " 'ch4 + o => ch3 + oh',\n",
       " 'ch3 + oh => ch4 + o',\n",
       " 'c2h6 + ch3 => c2h5 + ch4',\n",
       " 'c2h5 + ch4 => c2h6 + ch3']"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gas.reaction_equations(np.arange(10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And this will return a list of the chemical species names, joined by spaces:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n2 ch3 h ch4 h2 oh h2o o c2h6 c2h5 hco co co2 o2 h2o2 ho2 c2h4 ch3oh ch2oh ch3o ch2o c2h2 c2h3 c2h hcco ch2 ch ch2co ch2(s) pc2h4oh ch3co ch3cho c3h5-s c3h4-p c3h5-a c3h6 c3h4-a ch3chco c3h5-t c4h6 nc3h7 ic3h7 c3h8 c5h9 c4h7 c4h8-1 sc4h9 pc4h9 ch3coch3 ch3coch2 c2h5co c2h5cho c5h10-1 ch2cho c5h11-1 c5h11-2 c2h5o c2h5o2 ch3o2 ch3o2h c3h2 o2c2h4oh c2h4o2h c2h3co c2h3cho c3h5o c3h6o1-2 c3h6ooh1-2 c3h6ooh2-1 nc3h7o ic3h7o nc3h7o2 ic3h7o2 c4h7o c4h8ooh1-3o2 c4h8ooh1-3 nc4ket13 c4h8ooh1-2 c4h8o1-3 pc4h9o2 c3h3 hocho c2h3o1,2 nc3h7cho nc3h7co c3h6cho-2 ch2ch2coch3 c2h5coch2 c2h5coc2h4p nc3h7coch2 nc4h9cho nc4h9co hoch2o c6h13-1 c6h12-1 c6h11 nc7h16 c7h15-1 c7h15-2 c7h15-3 c7h15-4 c7h15o2-1 c7h15o2h-1 c7h15o2-2 c7h15o2h-2 c7h15o2-3 c7h15o2h-3 c7h14-1 c7h14-2 c7h14-3 c7h13 c7h15o2-4 c7h15o-1 c7h15o-2 c7h15o-3 c7h14ooh1-2 c7h14ooh1-3 c7h14ooh1-4 c7h14ooh2-3 c7h14ooh2-4 c7h14ooh2-5 c7h14ooh3-1 c7h14ooh3-2 c7h14ooh3-4 c7h14ooh3-5 c7h14ooh3-6 c7h14ooh4-2 c7h14ooh4-3 c7h14o1-3 c7h14o1-4 c7h14o2-4 c7h14o2-5 c7h14o3-5 c7h14ooh1-3o2 c7h14ooh2-3o2 c7h14ooh2-4o2 c7h14ooh2-5o2 c7h14ooh3-1o2 c7h14ooh3-2o2 c7h14ooh3-4o2 c7h14ooh3-5o2 c7h14ooh3-6o2 c7h14ooh4-2o2 c7h14ooh4-3o2 nc7ket13 nc7ket23 nc7ket24 nc7ket25 nc7ket31 nc7ket32 nc7ket34 nc7ket35 nc7ket36 nc7ket42 nc7ket43 nc4h9coch2 c4h7ooh1-4 c5h9ooh1-4 c4h7o1-4 c5h9o1-4\n"
     ]
    }
   ],
   "source": [
    "print(\" \".join(gas.species_names))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Knowing what all those species names mean is a [formidable challenge](http://www.northeastern.edu/comocheng/2014/04/nsf-grant-to-identify-discrepancies/) but we are [making headway](http://www.northeastern.edu/comocheng/2015/05/uscombustionmeeting/) (and more help is welcome).\n",
    "\n",
    "For now, lets loop through all the species looking for ones with 7 carbons and 16 hydrogen atoms, which should be all the isomers of heptane."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nc7h16\n"
     ]
    }
   ],
   "source": [
    "for species in gas.species():\n",
    "    if species.composition == {'C':7, 'H':16}:\n",
    "        print(species.name)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is only one!\n",
    "Based on the name beginning with 'n' let's assume it represents normal-heptane (all 7 carbons in a single chain with no branching), which is the fuel that we want to simulate. Now we need to find the index number for this species."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "heptane is species index 96\n"
     ]
    }
   ],
   "source": [
    "i_heptane = gas.species_names.index('nc7h16')\n",
    "# alternatively, this shortcut:\n",
    "i_heptane = gas.species_index('nc7h16')\n",
    "print(\"heptane is species index {0}\".format(i_heptane))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To specify the state of a system we must supply two intensive variables (temperature, pressure, density, specific entropy, specific enthalpy, specific volume) and the composition (mass or mole fractions). We will set the temperature, pressure, and mole fractions. In cantera, mole fractions are `X` and mass fractions are `Y`. We can then print some properties of our gas system by typing  `gas()`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " \n",
      "  gas:\n",
      " \n",
      "       temperature            1000  K\n",
      "          pressure           1e+06  Pa\n",
      "           density         12.0518  kg/m^3\n",
      "  mean mol. weight         100.204  amu\n",
      " \n",
      "                          1 kg            1 kmol\n",
      "                       -----------      ------------\n",
      "          enthalpy      1.6164e+05         1.62e+07     J\n",
      "   internal energy           78666        7.883e+06     J\n",
      "           entropy          7336.4        7.351e+05     J/K\n",
      "    Gibbs function     -7.1747e+06       -7.189e+08     J\n",
      " heat capacity c_p          3808.8        3.817e+05     J/K\n",
      " heat capacity c_v          3725.9        3.733e+05     J/K\n",
      " \n",
      "                           X                 Y          Chem. Pot. / RT    \n",
      "                     -------------     ------------     ------------\n",
      "            nc7h16              1                1          -86.468\n",
      "     [ +159 minor]              0                0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "gas.TPX = 1000, 10e5, 'nc7h16:1.0'\n",
    "gas()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To find equilbrium you must specify which two intensive variables to hold constant. We'll find the equilbrium at constant Temperature and Pressure, then print the properties again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " \n",
      "  gas:\n",
      " \n",
      "       temperature            1000  K\n",
      "          pressure           1e+06  Pa\n",
      "           density         3.56862  kg/m^3\n",
      "  mean mol. weight         29.6711  amu\n",
      " \n",
      "                          1 kg            1 kmol\n",
      "                       -----------      ------------\n",
      "          enthalpy      2.0726e+06         6.15e+07     J\n",
      "   internal energy      1.7923e+06        5.318e+07     J\n",
      "           entropy           10507        3.117e+05     J/K\n",
      "    Gibbs function      -8.434e+06       -2.502e+08     J\n",
      " heat capacity c_p          3583.5        1.063e+05     J/K\n",
      " heat capacity c_v          3303.3        9.801e+04     J/K\n",
      " \n",
      "                           X                 Y          Chem. Pot. / RT    \n",
      "                     -------------     ------------     ------------\n",
      "               ch3    1.21276e-07      6.14521e-08         -22.1802\n",
      "                 h    3.16881e-11      1.07646e-12         -10.7233\n",
      "               ch4       0.361997         0.195727         -32.9035\n",
      "                h2     0.00194295      0.000132006         -21.4466\n",
      "              c2h6       0.017327        0.0175597         -44.3604\n",
      "              c2h5    1.39513e-07      1.36648e-07         -33.6371\n",
      "              c2h4       0.226007         0.213687         -22.9138\n",
      "              c2h2       0.026842        0.0235551         -1.46724\n",
      "              c2h3    1.71854e-08      1.56649e-08         -12.1905\n",
      "            c3h5-s    2.16355e-09      2.99492e-09         -23.6475\n",
      "            c3h4-p      0.0225091        0.0303939         -12.9242\n",
      "            c3h5-a    5.19941e-05      7.19735e-05         -23.6475\n",
      "              c3h6       0.268652         0.381011         -34.3708\n",
      "            c3h4-a      0.0054431       0.00734978         -12.9242\n",
      "            c3h5-t    7.20643e-09       9.9756e-09         -23.6475\n",
      "              c4h6      0.0317032        0.0577962         -24.3811\n",
      "             nc3h7     1.8525e-09      2.69021e-09         -45.0941\n",
      "             ic3h7    2.23657e-09      3.24796e-09         -45.0941\n",
      "              c3h8     0.00142005       0.00211044         -55.8173\n",
      "              c5h9     6.5434e-07      1.52445e-06         -46.5613\n",
      "              c4h7    2.88309e-05      5.35392e-05         -35.1044\n",
      "            c4h8-1      0.0319639         0.060443         -45.8277\n",
      "             sc4h9    6.33765e-09      1.21996e-08          -56.551\n",
      "             pc4h9     8.5315e-10      1.64227e-09          -56.551\n",
      "           c5h10-1     0.00345147       0.00815833         -57.2846\n",
      "           c5h11-1    9.16538e-11      2.19758e-10         -68.0079\n",
      "           c5h11-2    6.85463e-10      1.64353e-09         -68.0079\n",
      "              c3h2    2.47938e-10      3.17944e-10          8.52243\n",
      "              c3h3    2.81086e-05          3.7e-05         -2.20086\n",
      "           c6h13-1    1.00656e-11      2.88926e-11         -79.4648\n",
      "           c6h12-1    0.000373154       0.00105844         -68.7415\n",
      "             c6h11    1.99188e-07      5.58224e-07         -58.0182\n",
      "            nc7h16    2.56286e-07      8.65517e-07         -101.645\n",
      "           c7h15-1    1.60998e-12      5.38244e-12         -90.9217\n",
      "           c7h15-2    8.01888e-12      2.68086e-11         -90.9217\n",
      "           c7h15-3    8.01888e-12      2.68086e-11         -90.9217\n",
      "           c7h15-4    4.02416e-12      1.34535e-11         -90.9217\n",
      "           c7h14-1    4.03517e-05      0.000133532         -80.1984\n",
      "           c7h14-2    0.000103427      0.000342263         -80.1984\n",
      "           c7h14-3    0.000113726      0.000376344         -80.1984\n",
      "             c7h13    7.64905e-09      2.50525e-08         -69.4751\n",
      "     [ +119 minor]    3.94607e-15      2.94821e-15\n",
      "\n"
     ]
    }
   ],
   "source": [
    "gas.equilibrate('TP')\n",
    "gas()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You will recall from Thermodynamics II that a system going to equilibrium at constant T and P should minimize the specific Gibbs free energy of the system. Sure enough, it has gone down (compare the \"Gibbs function\" in the \"1 kg\" columns above.  To check that number represents what we expect (this will be returned in Cantera's default SI units, a combination of K, m<sup>3</sup>, Pa, J, kg, kmol; in this case J/kg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-8434027.951513084\n",
      "-8434027.951513084\n"
     ]
    }
   ],
   "source": [
    "print(gas.h - gas.T * gas.s)\n",
    "print(gas.g)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now lets find the equilibrium composition at 1 bar pressure and a range of temperatures between 100 and 2000 K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 1640 1660 1680 1700 1720 1740 1760 1780 1800 1820 1840 1860 1880 1900 1920 1940 1960 1980 "
     ]
    }
   ],
   "source": [
    "temperatures = np.arange(100,2000,20)\n",
    "# make a big array to store the results in\n",
    "equilibrium_mass_fractions = np.zeros((len(temperatures), gas.n_species))\n",
    "for i, T in enumerate(temperatures):\n",
    "    gas.TP = T, 1e5\n",
    "    gas.equilibrate('TP')\n",
    "    print(T,end=\" \")\n",
    "    equilibrium_mass_fractions[i,:] = gas.Y"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now plot the equilibrium mass fractions as a function of temperature. With 160 lines, let's forgo the legend and instead label the biggest peaks directly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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74dZbYeFCu6P1/fdrb0w4CZieGRF5QET+FpGjIrJERNqc5vxeIrJMRA6LyHYReVtEKpZU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VVMvHUiwflaCLwQj/Od3bt5qL2dcrebT9XV8alx4466Dc/RkExuo739AdraHqC3dx0iHmz7Cu66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\nMWMwGAwGg2FMY8SMwWAwGAyGMc3/Bz2IueNNI/5MAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c11f2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(temperatures,equilibrium_mass_fractions)\n",
    "plt.xlabel(\"Temperature (K)\")\n",
    "plt.ylabel(\"Equilibrium mole fraction\")\n",
    "for i, name in enumerate(gas.species_names):\n",
    "    Y = equilibrium_mass_fractions[:,i]\n",
    "    if max(Y)> 0.08:\n",
    "        peakT = temperatures[Y.argmax()]\n",
    "        peakY = max(Y)\n",
    "        plt.text(peakT,peakY, name)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Question (a) \n",
    "What do you notice about the species that peaks at 100K, and the ones that peak at 2000K? Can you explain or justify this?"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "ANSWER: Larger species (complete n-heptane) are the most stable choice at lower temperatures, where the many bonds give the system a low energy. At higher temperatures, where the T∆S term dominates ∆G, it favors breaking into more smaller molecules, eg. CH2=CH2 and H2. At even higher temperatures even these may break apart into C and H atoms."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To see some of the complexity hidden at low concentrations, let's plot the y axis on a logarithmic scale:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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FEUnPR27r9S51+eXzSwEOt1sEKZqaoKtL5DitWiUsurzn64WDJC0NNWp6mn8hTVsSONWJ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YMWNMJCdX4uragRDR+PjcS//+c2hvX01l5T+w2fRERr5IWNj/XTZbjN4dkAVUXn1VzsgOHSoL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oyikYZOFc1xJyZuQzleE52jlssrL2NSTTRf15yZJ2fgo7Qn6HPBiR2LEc6Cd2bfmtJJTk7G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PhW2UZRdY+AL75QssdReWzVJDQlmSAAkQloSS6sRxiktiW7LjItuyZPXepvc5vz/OSNZI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\n2lj9G156i2sAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c116cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.semilogy(temperatures,equilibrium_mass_fractions)\n",
    "plt.ylim(1e-30,1)\n",
    "plt.xlabel(\"Temperature (K)\")\n",
    "plt.ylabel(\"Equilibrium mole fraction\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you think about how many reactions are equilibrated, it was remarkably quick!\n",
    "\n",
    "Now we'll add some air, which is mostly nitrogen and oxygen. First of all, find the names of anything with just 2 oxygen atoms or just 2 nitrogen atoms."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n2\n",
      "o2\n"
     ]
    }
   ],
   "source": [
    "for species in gas.species():\n",
    "    if species.composition == {'O':2} or species.composition == {'N':2}:\n",
    "        print(species.name)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now look up and store the species indices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "oxygen is species index 13\n",
      "nitrogen is species index 0\n"
     ]
    }
   ],
   "source": [
    "i_oxygen = gas.species_names.index('o2')\n",
    "print(\"oxygen is species index {0}\".format(i_oxygen))\n",
    "i_nitrogen = gas.species_names.index('n2')\n",
    "print(\"nitrogen is species index {0}\".format(i_nitrogen))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Question (b)\n",
    "\n",
    "For a \"stoichiometric\" mixture of n-heptane and air (enough oxygen to reach complete combustion) how many moles of heptane and how many moles of nitrogen should you have for one mole of oxygen?  Assume air is 80% nitrogen and 20% oxygen."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "oxygen_mole = 1. # moles oxygen\n",
    "## ANSWER:\n",
    "nitrogen_mole = 4 * oxygen_mole  \n",
    "heptane_mole = oxygen_mole / 11."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "## Some checks\n",
    "assert nitrogen_mole / oxygen_mole == 4, \"Assume air is 80% nitrogen and 20% oxygen\"\n",
    "assert oxygen_mole / heptane_mole == 3+1+3//5*3+8-5//3, \"C7H16 + ?? O2 => 8 H2O + 7 CO2\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now use those to make a string for the '`X`' when we set `gas.TPX`. Although we call it a mole fraction, they don't need to add up to one: Cantera will normalize it, preserving the ratios.  Then print it, use it, and check it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The 'X' will be set to 'nc7h16:0.09090909090909091,o2:1.0,n2:4.0'\n",
      " \n",
      "  gas:\n",
      " \n",
      "       temperature            1000  K\n",
      "          pressure           1e+06  Pa\n",
      "           density         3.61845  kg/m^3\n",
      "  mean mol. weight         30.0854  amu\n",
      " \n",
      "                          1 kg            1 kmol\n",
      "                       -----------      ------------\n",
      "          enthalpy      7.1867e+05        2.162e+07     J\n",
      "   internal energy       4.423e+05        1.331e+07     J\n",
      "           entropy          7522.2        2.263e+05     J/K\n",
      "    Gibbs function     -6.8035e+06       -2.047e+08     J\n",
      " heat capacity c_p          1310.2        3.942e+04     J/K\n",
      " heat capacity c_v          1033.9         3.11e+04     J/K\n",
      " \n",
      "                           X                 Y          Chem. Pot. / RT    \n",
      "                     -------------     ------------     ------------\n",
      "                n2       0.785714         0.731603         -22.8023\n",
      "                o2       0.196429         0.208921         -25.8927\n",
      "            nc7h16      0.0178571        0.0594759         -90.4934\n",
      "     [ +157 minor]              0                0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "X_string = 'nc7h16:{0},o2:{1},n2:{2}'.format(heptane_mole, oxygen_mole, nitrogen_mole)\n",
    "print(\"The 'X' will be set to {0!r}\".format(X_string))\n",
    "gas.TPX = 1000, 10e5, X_string\n",
    "gas()\n",
    "assert round(gas.concentrations[i_oxygen] / gas.concentrations[i_heptane], 2) == 11"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Question (c)\n",
    "We can do an equilibrium analysis like before, but before you do,\n",
    "starting with a stoichiometric mixture of fuel and air\n",
    "what do you expect the equilibrium composition to mostly consist of?\n",
    "(Imagine all reactions are fast with no barriers)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "ANSWER: Even at low temperatures, the fuel/oxygen mixture would \"rather\" be H2O and CO2, it is just there is a large energy barrier to prevent it getting there without burning at high temperature (or with a catalyst).  At equilibrium, if you could get there, (almost) everything will be the combustion products H2O and CO2 (and the N2 which is inert). There will be trace amounts of other things. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 1640 1660 1680 1700 1720 1740 1760 1780 1800 1820 1840 1860 1880 1900 1920 1940 1960 1980 "
     ]
    },
    {
     "data": {
      "image/png": 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DhCRJKmaQkCRJxQwSkiSpmEFCkiQVM0hIkqRiBglJklTMICFJkooZJDQmOjo6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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fbdc8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "temperatures = np.arange(100,2000,20)\n",
    "# make a big array to store the results in\n",
    "equilibrium_mass_fractions = np.zeros((len(temperatures), gas.n_species))\n",
    "for i, T in enumerate(temperatures):\n",
    "    gas.TP = T, 1e5\n",
    "    gas.equilibrate('TP')\n",
    "    print(T, end=\" \")\n",
    "    equilibrium_mass_fractions[i,:] = gas.Y\n",
    "plt.plot(temperatures,equilibrium_mass_fractions)\n",
    "for i, name in enumerate(gas.species_names):\n",
    "    Y = equilibrium_mass_fractions[:,i]\n",
    "    if max(Y)> 0.08:\n",
    "        peakT = temperatures[Y.argmax()]\n",
    "        peakY = max(Y)\n",
    "        plt.text(peakT,peakY, name)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## Kinetics\n",
    "Now we are done with equilbria, let's calculate some kinetics!\n",
    "\n",
    "Cantera can do complex networks of reactors with valves, flow controllers, etc.\n",
    "but we will make a simple \"reactor network\" with just one constant volume ideal gas batch reactor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     t [s]      T [K]     P [Pa]       u [J/kg]\n",
      " 0.000e+00    800.000 1000000.000   2.419017e+05\n",
      " 1.600e-05    800.000 1000000.000   2.419017e+05\n",
      " 3.200e-05    800.000 1000000.000   2.419017e+05\n",
      " 4.800e-05    800.000 1000000.001   2.419017e+05\n",
      " 6.400e-05    800.000 1000000.002   2.419017e+05\n",
      " 8.000e-05    800.000 1000000.003   2.419017e+05\n",
      " 9.600e-05    800.000 1000000.006   2.419017e+05\n",
      " 1.120e-04    800.000 1000000.009   2.419017e+05\n",
      " 1.280e-04    800.000 1000000.013   2.419017e+05\n",
      " 1.440e-04    800.000 1000000.019   2.419017e+05\n",
      " 1.600e-04    800.000 1000000.026   2.419017e+05\n",
      " 1.760e-04    800.000 1000000.037   2.419017e+05\n",
      " 1.920e-04    800.000 1000000.051   2.419017e+05\n",
      " 2.080e-04    800.000 1000000.069   2.419017e+05\n",
      " 2.240e-04    800.000 1000000.093   2.419017e+05\n",
      " 2.400e-04    800.000 1000000.125   2.419017e+05\n",
      " 2.560e-04    800.000 1000000.167   2.419017e+05\n",
      " 2.720e-04    800.000 1000000.222   2.419017e+05\n",
      " 2.880e-04    800.000 1000000.294   2.419017e+05\n",
      " 3.040e-04    800.000 1000000.388   2.419017e+05\n",
      " 3.200e-04    800.000 1000000.512   2.419017e+05\n",
      " 3.360e-04    800.001 1000000.674   2.419017e+05\n",
      " 3.520e-04    800.001 1000000.887   2.419017e+05\n",
      " 3.680e-04    800.001 1000001.166   2.419017e+05\n",
      " 3.840e-04    800.001 1000001.530   2.419017e+05\n",
      " 4.000e-04    800.002 1000002.008   2.419017e+05\n",
      " 4.160e-04    800.002 1000002.633   2.419017e+05\n",
      " 4.320e-04    800.003 1000003.451   2.419017e+05\n",
      " 4.480e-04    800.004 1000004.522   2.419017e+05\n",
      " 4.640e-04    800.005 1000005.924   2.419017e+05\n",
      " 4.800e-04    800.006 1000007.759   2.419017e+05\n",
      " 4.960e-04    800.008 1000010.161   2.419017e+05\n",
      " 5.120e-04    800.011 1000013.304   2.419017e+05\n",
      " 5.280e-04    800.014 1000017.418   2.419017e+05\n",
      " 5.440e-04    800.018 1000022.803   2.419017e+05\n",
      " 5.600e-04    800.024 1000029.851   2.419017e+05\n",
      " 5.760e-04    800.031 1000039.078   2.419017e+05\n",
      " 5.920e-04    800.041 1000051.156   2.419017e+05\n",
      " 6.080e-04    800.054 1000066.968   2.419017e+05\n",
      " 6.240e-04    800.070 1000087.673   2.419017e+05\n",
      " 6.400e-04    800.092 1000114.787   2.419017e+05\n",
      " 6.560e-04    800.120 1000150.303   2.419017e+05\n",
      " 6.720e-04    800.157 1000196.838   2.419017e+05\n",
      " 6.880e-04    800.206 1000257.832   2.419017e+05\n",
      " 7.040e-04    800.270 1000337.813   2.419017e+05\n",
      " 7.200e-04    800.354 1000442.758   2.419017e+05\n",
      " 7.360e-04    800.464 1000580.562   2.419017e+05\n",
      " 7.520e-04    800.609 1000761.694   2.419017e+05\n",
      " 7.680e-04    800.799 1001000.075   2.419017e+05\n",
      " 7.840e-04    801.050 1001314.303   2.419017e+05\n",
      " 8.000e-04    801.381 1001729.356   2.419017e+05\n",
      " 8.160e-04    801.819 1002279.008   2.419017e+05\n",
      " 8.320e-04    802.401 1003009.296   2.419017e+05\n",
      " 8.480e-04    803.175 1003983.632   2.419017e+05\n",
      " 8.640e-04    804.212 1005290.473   2.419017e+05\n",
      " 8.800e-04    805.610 1007055.270   2.419017e+05\n",
      " 8.960e-04    807.508 1009459.731   2.419017e+05\n",
      " 9.120e-04    810.114 1012774.362   2.419017e+05\n",
      " 9.280e-04    813.744 1017416.193   2.419017e+05\n",
      " 9.440e-04    818.902 1024056.459   2.419017e+05\n",
      " 9.600e-04    826.420 1033828.343   2.419017e+05\n",
      " 9.760e-04    837.712 1048707.436   2.419017e+05\n",
      " 9.920e-04    854.949 1071855.979   2.419017e+05\n",
      " 1.008e-03    879.016 1104975.132   2.419017e+05\n",
      " 1.024e-03    901.805 1137045.268   2.419017e+05\n",
      " 1.040e-03    914.216 1154719.981   2.419017e+05\n",
      " 1.056e-03    919.961 1162939.205   2.419017e+05\n",
      " 1.072e-03    923.095 1167443.481   2.419017e+05\n",
      " 1.088e-03    925.123 1170375.654   2.419017e+05\n",
      " 1.104e-03    926.623 1172554.706   2.419017e+05\n",
      " 1.120e-03    927.849 1174344.093   2.419017e+05\n",
      " 1.136e-03    928.927 1175919.890   2.419017e+05\n",
      " 1.152e-03    929.918 1177371.762   2.419017e+05\n",
      " 1.168e-03    930.857 1178746.939   2.419017e+05\n",
      " 1.184e-03    931.761 1180071.041   2.419017e+05\n",
      " 1.200e-03    932.641 1181358.424   2.419017e+05\n",
      " 1.216e-03    933.503 1182617.506   2.419017e+05\n",
      " 1.232e-03    934.349 1183853.542   2.419017e+05\n",
      " 1.248e-03    935.183 1185070.103   2.419017e+05\n",
      " 1.264e-03    936.007 1186269.848   2.419017e+05\n",
      " 1.280e-03    936.821 1187454.949   2.419017e+05\n",
      " 1.296e-03    937.627 1188627.307   2.419017e+05\n",
      " 1.312e-03    938.427 1189788.669   2.419017e+05\n",
      " 1.328e-03    939.221 1190940.688   2.419017e+05\n",
      " 1.344e-03    940.010 1192084.962   2.419017e+05\n",
      " 1.360e-03    940.796 1193223.042   2.419017e+05\n",
      " 1.376e-03    941.579 1194356.449   2.419017e+05\n",
      " 1.392e-03    942.361 1195486.673   2.419017e+05\n",
      " 1.408e-03    943.142 1196615.179   2.419017e+05\n",
      " 1.424e-03    943.924 1197743.411   2.419017e+05\n",
      " 1.440e-03    944.706 1198872.789   2.419017e+05\n",
      " 1.456e-03    945.491 1200004.714   2.419017e+05\n",
      " 1.472e-03    946.279 1201140.568   2.419017e+05\n",
      " 1.488e-03    947.072 1202281.721   2.419017e+05\n",
      " 1.504e-03    947.868 1203429.527   2.419017e+05\n",
      " 1.520e-03    948.671 1204585.332   2.419017e+05\n",
      " 1.536e-03    949.481 1205750.472   2.419017e+05\n",
      " 1.552e-03    950.298 1206926.284   2.419017e+05\n",
      " 1.568e-03    951.123 1208114.103   2.419017e+05\n",
      " 1.584e-03    951.958 1209315.271   2.419017e+05\n",
      " 1.600e-03    952.803 1210531.136   2.419017e+05\n",
      " 1.616e-03    953.659 1211763.066   2.419017e+05\n",
      " 1.632e-03    954.527 1213012.447   2.419017e+05\n",
      " 1.648e-03    955.408 1214280.692   2.419017e+05\n",
      " 1.664e-03    956.303 1215569.247   2.419017e+05\n",
      " 1.680e-03    957.214 1216879.602   2.419017e+05\n",
      " 1.696e-03    958.140 1218213.291   2.419017e+05\n",
      " 1.712e-03    959.083 1219571.909   2.419017e+05\n",
      " 1.728e-03    960.045 1220957.117   2.419017e+05\n",
      " 1.744e-03    961.026 1222370.651   2.419017e+05\n",
      " 1.760e-03    962.027 1223814.338   2.419017e+05\n",
      " 1.776e-03    963.051 1225290.103   2.419017e+05\n",
      " 1.792e-03    964.098 1226799.987   2.419017e+05\n",
      " 1.808e-03    965.169 1228346.160   2.419017e+05\n",
      " 1.824e-03    966.267 1229930.937   2.419017e+05\n",
      " 1.840e-03    967.393 1231556.801   2.419017e+05\n",
      " 1.856e-03    968.549 1233226.417   2.419017e+05\n",
      " 1.872e-03    969.737 1234942.664   2.419017e+05\n",
      " 1.888e-03    970.959 1236708.657   2.419017e+05\n",
      " 1.904e-03    972.217 1238527.778   2.419017e+05\n",
      " 1.920e-03    973.514 1240403.714   2.419017e+05\n",
      " 1.936e-03    974.852 1242340.495   2.419017e+05\n",
      " 1.952e-03    976.235 1244342.542   2.419017e+05\n",
      " 1.968e-03    977.666 1246414.723   2.419017e+05\n",
      " 1.984e-03    979.149 1248562.412   2.419017e+05\n",
      " 2.000e-03    980.687 1250791.569   2.419017e+05\n",
      " 2.016e-03    982.285 1253108.827   2.419017e+05\n",
      " 2.032e-03    983.948 1255521.592   2.419017e+05\n",
      " 2.048e-03    985.682 1258038.174   2.419017e+05\n",
      " 2.064e-03    987.494 1260667.933   2.419017e+05\n",
      " 2.080e-03    989.390 1263421.465   2.419017e+05\n",
      " 2.096e-03    991.379 1266310.817   2.419017e+05\n",
      " 2.112e-03    993.470 1269349.767   2.419017e+05\n",
      " 2.128e-03    995.674 1272554.155   2.419017e+05\n",
      " 2.144e-03    998.004 1275942.306   2.419017e+05\n",
      " 2.160e-03   1000.473 1279535.564   2.419018e+05\n",
      " 2.176e-03   1003.100 1283358.968   2.419018e+05\n",
      " 2.192e-03   1005.905 1287442.113   2.419018e+05\n",
      " 2.208e-03   1008.911 1291820.287   2.419018e+05\n",
      " 2.224e-03   1012.148 1296535.985   2.419018e+05\n",
      " 2.240e-03   1015.651 1301640.932   2.419018e+05\n",
      " 2.256e-03   1019.464 1307198.852   2.419018e+05\n",
      " 2.272e-03   1023.641 1313289.318   2.419018e+05\n",
      " 2.288e-03   1028.252 1320013.238   2.419018e+05\n",
      " 2.304e-03   1033.385 1327500.849   2.419018e+05\n",
      " 2.320e-03   1039.158 1335923.708   2.419018e+05\n",
      " 2.336e-03   1045.730 1345513.271   2.419018e+05\n",
      " 2.352e-03   1053.321 1356590.782   2.419018e+05\n",
      " 2.368e-03   1062.246 1369617.626   2.419018e+05\n",
      " 2.384e-03   1072.980 1385284.902   2.419018e+05\n",
      " 2.400e-03   1086.268 1404683.911   2.419018e+05\n",
      " 2.416e-03   1103.374 1429659.176   2.419018e+05\n",
      " 2.432e-03   1126.626 1463621.642   2.419018e+05\n",
      " 2.448e-03   1160.871 1513687.338   2.419018e+05\n",
      " 2.464e-03   1217.782 1597105.215   2.419018e+05\n",
      " 2.480e-03   1326.899 1758306.954   2.419018e+05\n",
      " 2.496e-03   1661.223 2257738.459   2.419018e+05\n",
      " 2.512e-03   2887.767 3880765.542   2.419018e+05\n",
      " 2.528e-03   2887.784 3880784.166   2.419018e+05\n",
      " 2.544e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.560e-03   2887.784 3880784.164   2.419018e+05\n",
      " 2.576e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.592e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.608e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.624e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.640e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.656e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.672e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.688e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.704e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.720e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.736e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.752e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.768e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.784e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.800e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.816e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.832e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.848e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.864e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.880e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.896e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.912e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.928e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.944e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.960e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.976e-03   2887.784 3880784.165   2.419018e+05\n",
      " 2.992e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.008e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.024e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.040e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.056e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.072e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.088e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.104e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.120e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.136e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.152e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.168e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.184e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.200e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.216e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.232e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.248e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.264e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.280e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.296e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.312e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.328e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.344e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.360e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.376e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.392e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.408e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.424e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.440e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.456e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.472e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.488e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.504e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.520e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.536e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.552e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.568e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.584e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.600e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.616e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.632e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.648e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.664e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.680e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.696e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.712e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.728e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.744e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.760e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.776e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.792e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.808e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.824e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.840e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.856e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.872e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.888e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.904e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.920e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.936e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.952e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.968e-03   2887.784 3880784.165   2.419018e+05\n",
      " 3.984e-03   2887.784 3880784.165   2.419018e+05\n",
      " 4.000e-03   2887.784 3880784.165   2.419018e+05\n"
     ]
    }
   ],
   "source": [
    "gas.TPX = 800, 10e5, X_string\n",
    "\n",
    "reactor = ct.IdealGasReactor(gas)\n",
    "reactor_network = ct.ReactorNet([reactor])\n",
    "\n",
    "start_time = 0.0  #starting time\n",
    "end_time = 4e-3 # seconds\n",
    "n_steps = 251\n",
    "times = np.linspace(start_time, end_time, n_steps)\n",
    "concentrations = np.zeros((n_steps, gas.n_species))\n",
    "pressures = np.zeros(n_steps)\n",
    "temperatures = np.zeros(n_steps)\n",
    "\n",
    "print_data = True\n",
    "if print_data:\n",
    "    #this just gives headings\n",
    "    print('{0:>10s} {1:>10s} {2:>10s} {3:>14s}'.format(\n",
    "            't [s]','T [K]','P [Pa]','u [J/kg]')) \n",
    "\n",
    "for n, time in enumerate(times):\n",
    "    if time > 0:\n",
    "        reactor_network.advance(time)\n",
    "    temperatures[n] = reactor.T\n",
    "    pressures[n] = reactor.thermo.P\n",
    "    concentrations[n,:] = reactor.thermo.concentrations\n",
    "    if print_data:\n",
    "        print('{0:10.3e} {1:10.3f} {2:10.3f} {3:14.6e}'.format(\n",
    "                 reactor_network.time, reactor.T, reactor.thermo.P, reactor.thermo.u))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's plot some graphs to see how things look"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dN0nartbBmS1pTnbMzBpP1cmOpIOBycB7wEXZMRe4Q9KBtQ3PbMlabTV45x34z3+KjsTM\nzGolz0ag3wFOiohxFWUXSToR+F/gmppEZlaA1VZLP19+GQYPLjYWMzOrjTyvsdYEbm6h/CZgjcUL\nx6xYTcmOX2WZmTWOPMnOy0BLq5DslJ0zK61VVoEuXZzsmJk1kjyvsc4nvbYaAtyXlW1L2irihBrF\nZVaIrl3h0592smNm1kiqTnYi4meSZgLfAvbLiqcD+0fEjbUMzqwInpFlZtZY8vTsEBHXA9fXOBaz\nuuBkx8yssSzWooKSPiWpZ+VRq8DMiuJkx8ysseRZZ2cNSbdKeheYDbyTHf/OfpqV2mqrwSuvwEcf\nFR2JmZnVQp7XWFcDAo4AZpE2/zRrGKutBvPnw6xZaXaWmZmVW55kZ1NgWER4b2hrSJVr7TjZMTMr\nvzxjdv4ODKx1IGb1wgsLmpk1ljw9O18BLpX0aeAJYH7lyYh4rBaBmRWlVy/o0QNefbXoSMzMrBby\nJDv9gLWAKyrKgjSOJ4ClahCXWWEk6NcP3nij6EjMzKwW8iQ7lwMPA6PxAGVrUE52zMwaR55kZ3Vg\nj4j4R62DMasXTnbMzBpHngHKd5JmZJk1LCc7ZmaNI0/Pzs3AOEkbA4/zyQHKN9UiMLMi9esHDzxQ\ndBRmZlYLeZKdS7Ofp7dwzgOUrSG4Z8fMrHHk2fV8sfbTMiuDfv3gnXfSSsrduhUdjZmZLY48e2Ot\n2sa5rRYvHLP60K9f+vnWW8XGYWZmiy9PL83tklZoXihpW+BPeQORdKykGZLmSrpf0uaLqD9c0lRJ\n8yQ9K+nQFursK2l6ds9HJe3a7Pypkh6UNEfSLEnXS1q3hfuMlfSqpPck/VnS2nnbaeXQlOz4VZaZ\nWfnlSXbuJyU8yzcVSNoeuA34bp4gJO0PnA+cAWwGPApMktS3lfqDgFuAO0gzwy4EfilpZEWdbYBr\ngMuAIcCNwA2SBlfcajvgJ8CWwE5At6xtPSruczJwHPBVYAvg3Sy2pfO01crByY6ZWePIk+x8BXgJ\nuFlSd0k7ArcCp0fEuJxxjAF+HhFXRcTTwNHAe6Sd1VvydeD5iDgpIp6JiJ8Cf8ju0+R4YGJEXJDV\nOR2YRkpcAIiI3SLi1xExPSIeBw4DVgOGVdznBOB7EXFLRDwBHAKsAuyVs61WAk52zMwaR9XJTkQs\nAA4gTTm/E7gJODUiLswTgKRupOTijorvCGAysHUrl22Vna80qVn9rdtRp7nepBllb2exrQEMaBbb\nHOCBRdzHSq5nzzQw2cmOmVn5tWs2lqRNWig+E5gAXA3c01Qnx0agfUnT1Wc1K58FrNfKNQNaqd9T\nUveIeL+NOgNauqEkAT8G/hoRT1V8T1RzH2sM3h/LzKxxtHfq+SN8vNlnk6bPXyONZyn7RqCXAIOB\nbYsOxOqDkx0zs8bQ3mRnjQ6M4U3gI6B/s/L+wMxWrpnZSv05Wa9OW3U+cU9JFwO7AdtFxGvNvkfZ\ndZW9O/1Jm6G2asyYMfTq1WuhstGjRzN69Oi2LrM64mTHzKzjTJgwgQkTJixUNnv27A75rnYlOxHx\nYod8e7r3fElTgRGk8T9Nr5RGABe1ctkUYNdmZaOy8so6ze8xslmdpkRnT2CHiHipWWwzJM3M7vNY\nVr8nafbWT9tq17hx4xg6dGhbVazO9esHr75adBRmZo2ppQ6AadOmMWzYsFauyK9dA5SrWSxQ0rKS\nNqwyjguAoyQdIml90pYUywLjs3ueLenKivqXAmtKOkfSepKOAfbJ7tPkQmAXSSdmdc4kDYS+uCLW\nS4CDgAOBdyX1z45lKu7zY+A0SV/I9gO7CniFNJXdGph7dszMGkN7Z2P9WtKkbJG+5VqqIGmwpB8A\n/2ThqduLFBHXAv8DjCW9HtoE2Dkimv6qGQAMrKj/ArA7aW2cR0hTzo+MiMkVdaaQkpivZnW+COxZ\nMfgY0hT3nsBdwKsVx34V9zmXtBbPz0mzsHoAu0bEB9W00crHyY6ZWWNo75idwaS1bc4CrpH0LCkp\nmAf0AdYHPgVcD4zK1qypSkRcQhok3NK5w1sou4dFJFURcR1wXRvn25XsRcSZpNln1on065e2i1iw\nALp4Rzgzs9Jq75id+aSxLxdJ+gzwWWB1Ui/Ho8A44C8R8XZHBWq2pPXrlxKdt9+Gvi2u5W1mZmWQ\nZ9fzh4CHOiAWs7pSuYqykx0zs/Jy57xZK7xlhJlZY3CyY9aKFVdMP995p9g4zMxs8TjZMWtF797p\np5MdM7Nyc7Jj1opu3WC55ZzsmJmVnZMdszb06eNkx8ys7KqejQUgaQRpC4WVaJYwRcQRNYjLrC44\n2TEzK7+qkx1JZwCnk6afv0ba6dysIfXpA//+d9FRmJnZ4sjTs3M0cFhE/LrWwZjVG/fsmJmVX54x\nO0sD99U6ELN61Lu3kx0zs7LLk+z8krTBplnDc8+OmVn55XmNtQzwVUk7AY8B8ytPRsSJtQjMrB54\nzI6ZWfnlSXY2AR7Jft+o2TkPVraG4p4dM7Pyy7MR6I4dEYhZPerTB+bNS8cyyxQdjZmZ5bFYiwpK\nWlXSqrUKxqzeeMsIM7PyqzrZkdRF0umSZgMvAi9K+rek/5XkFZmtofTpk3462TEzK688Y3a+DxwJ\nnAL8LSv7LHAmafDyd2oSmVkdaEp2PEjZzKy88iQ7hwJfiYibKsoek/Qv4BKc7FgDcc+OmVn55Xnt\ntALwdAvlT2fnzBqGx+yYmZVfnmTnUeC4FsqPy86ZNYwePaB7dyc7ZmZlluc11knArdmiglOysq2B\ngcButQrMrF54rR0zs3KrumcnIu4G1gWuB3pnxx+B9SLi3tqGZ1Y8r6JsZlZueXp2iIhX8UBk6yTc\ns2NmVm7tSnYkbQI8ERELst9bFRGP1SQyszrhnc/NzMqtvT07jwADgNez3wNQC/UCWKo2oZnVhz59\n4OWXi47CzMzyam+yswbwRsXvZp1Gnz7w+ONFR2FmZnm1K9mJiBcrPq4O3BcRH1bWkdQV2Ia0hYRZ\nw/CYHTOzcsuzzs5faHnxwF7ZObOG4mTHzKzc8iQ7Io3NaW5F4N3FC8es/vTuDf/9L8yfX3QkZmaW\nR7unnkv6Y/ZrAOMlvV9xeilgE+C+GsZmVhcqNwPt16/YWMzMrHrVrLMzO/sp4D/A3IpzHwD3A5fV\nKC6zurFC9tL27bed7JiZlVG7k52IOBxA0gvAeRHhV1bWKfTtm36++Sast16xsZiZWfWqXkE5Ir7b\nEYGY1aum3pw33yw2DjMzyyfXdhGS9gH2A1YDlq48FxFDaxCXWd3o0wckJztmZmVV9WwsSccDVwCz\ngM2AB4G3gDWBiTWNzqwOdO2aEh4nO2Zm5ZRn6vkxwFcj4hukgcnnRsRI4CLSWjtmDadvX3jjjUXX\nMzOz+pMn2VmNj6eYzwWWz37/NTC6FkGZ1Zt+/dyzY2ZWVnmSnZl8vILyS8BW2e9r0PLmoGal17ev\nkx0zs7LKk+zcCeyR/X4FME7Sn4HfAdfXKjCzeuJkx8ysvPLMxvoqWZIUET+V9BZpA9CbgJ/XMDaz\nuuExO2Zm5VVVz062s/lpwICmsoj4bUQcHxE/iYgP8gYi6VhJMyTNlXS/pM0XUX+4pKmS5kl6VtKh\nLdTZV9L07J6PStq12fntJN0k6V+SFkjao4V7XJGdqzxuy9tOKyf37JiZlVdVyU5EfAicRM71eVoj\naX/gfOAM0nT2R4FJkvq2Un8QcAtwB7ApcCHwS0kjK+psA1xD2sJiCHAjcIOkwRW3Wg54hDTDrKXN\nTZtMBPqTkrwBeCB2p9OvH8yZAx/kTufNzKwoecbs3AHsUOM4xgA/j4irIuJp4GjgPeCIVup/HXg+\nIk6KiGci4qfAH7L7NDkemBgRF2R1TgemAcc1VYiIP0XE6RFxI20Prn4/It6IiNezY3Ybda0BNW0Z\n8dZbxcZhZmbVy9NDMxH4oaSNganAQntkRcRN1dxMUjdgGPCDinuEpMnA1q1cthUwuVnZJGBcxeet\nSb1FzevsWU18meGSZgHvkAZonxYRb+e4j5VUU7Lzxhuw8srFxmJmZtXJk+xckv08sYVzASxV5f36\nZtfMalY+C2ht28UBrdTvKal7RLzfRp0BVGcicB0wA1gLOBu4TdLWEdHWqy9rIJWbgZqZWbnk2Qg0\nz6uv0oqIays+PinpceCfwHDgL4UEZUucNwM1MyuvqpMdSYcAv8t6TyrLlwYOiIirqrzlm8BHpAHA\nlfqTFjBsycxW6s+piKu1Oq3ds10iYoakN4G1aSPZGTNmDL16Lbx7xujRoxk92mOby2j55aFbNyc7\nZma1MmHCBCZMmLBQ2ezZHTMkNs9rrCuAPwGvNytfPjtXVbITEfMlTQVGkNbqQZKyzxe1ctkUYNdm\nZaOy8so6ze8xslmdqklaFVgReK2teuPGjWPoUG8A3ygkr7VjZlZLLXUATJs2jWHDhtX8u/K8khIt\nT9NeFcibkl0AHCXpEEnrA5cCywLjASSdLenKivqXAmtKOkfSepKOAfbJ7tPkQmAXSSdmdc4kDYS+\n+P8aIi0naVNJQ7KiNbPPAyvOnytpS0mrSxoB3AA8SxrsbJ2I19oxMyundvfsSHqYlOQEcIekDytO\nL0XaG+tPeYKIiGuzNXXGkl41PQLsHBFN/44eAAysqP+CpN1Js6+OB14BjoyIyRV1pkg6EPh+djwH\n7BkRT1V89WdIr6Ka2tU0e+tK0rT3j4BNgEOA3sCrpCTn9IiYn6etVl7eDNTMrJyqeY11Q/ZzCOkv\n/P9WnPsAeIE0aymXiLiEj2d6NT93eAtl95B6atq653VtxRQRd9NG71ZEzAN2aes7rPNwz46ZWTm1\nO9mJiO8CSHqBNEB5XkcFZVaP+vaFZ54pOgozM6tWnqnnV8L/zb5aiWY9IxHxUm1CM6sv7tkxMyun\nPFPP1wEuJ+10vtAp8i0qaFYK/fql2VgLFkCXTrXalJlZueWZej4e+BD4PGn6tVcRtk5hzTXTRqCv\nvAKrrVZ0NGZm1l55kp0hwLBsw06zTmP99dPP6dOd7JiZlUmezvinSPtZmXUqq68OyywDTzvNNzMr\nlTzJzsnAuZKGS1pRUs/Ko9YBmtWLpZaCddd1smNmVjZ5XmM1Ldx3R7NyD1C2hrfBBuk1lpmZlUee\nZGfHmkdhVhLrrw933VV0FGZmVo086+zc3RGBmJXBBhvArFnwzjvQp0/R0ZiZWXvkWi1E0naSrpZ0\nn6RPZ2VflvTZ2oZnVl+aZmR53I6ZWXlUnexI+hJpb6y5wFCge3aqF/Dt2oVmVn/WXRckJztmZmWS\np2fnNODoiDgKqNz5+2+k5MesYfXoAYMGeZCymVmZ5El21gPuaaF8NtB78cIxq38bbOCeHTOzMsmT\n7MwE1m6h/LPA84sXjln923BDeOihtEeWmZnVvzzJzmXAhZK2JK2rs4qkg4DzgJ/VMjizerTXXvDa\na/DXvxYdiZmZtUeedXZ+SEqS7gCWJb3Seh84LyJ+UsPYzOrS1luncTvXXAPbb190NGZmtihV9+xE\n8n1gBWAjYCugX0T8b62DM6tHEhxwAPz+92kXdDMzq295pp73krRCRHwQEU9FxIMR8V9JK3hvLOss\nDjwQ3n4bbr+96EjMzGxR8ozZ+S2wXwvl+2XnzBrexhvDRhvBZZcVHYmZmS1KnmRnS+AvLZTflZ0z\n6xROPRVuugluvrnoSMzMrC15kp3uwNItlHcDeixeOGblMXo07LorfP3rMHt20dGYmVlr8iQ7DwJf\nbaH8aGDq4oVjVh4SXHppSnQOOwzmz1/kJWZmVoA8U89PAyZL2pQ0/RxgBLA5MKpWgZmVwWqrwYQJ\n8MUvpp6eCROgW7eiozIzs0p5pp7/DdgaeJk0KPkLwD+ATSLi3tqGZ1b/Pv95+MMf0vidESPglVeK\njsjMzCrleY1FRDwSEQdFxIYR8ZmIOCIinqt1cGZlsccecOed8PzzMGQIXH01RBQdlZmZQc5kR1IX\nSetK+qyk7SuPWgdoVhaf/Sw8+mjq3fnyl2HHHeGBB4qOyszM8iwquBXptdV00lYRd1UcLU1JN+s0\nVlwRfvc7mDQJ3ngDttoKvvAFePjhoiMzM+u88vTsXAo8RNoqYgWgT8WxQu1CMyuvUaPgscfS66yn\nn4ahQ2EOCVzxAAAgAElEQVTvveG++4qOzMys88mT7KwDfDsipkfEvyNiduVR6wDNymqppeCgg2D6\ndPjVr+Cpp2DbbWGbbeC66+Cjj4qO0Mysc8iT7DwArF3rQMwaVdeucMQRKem56SZYemnYZx9Yd134\nyU/gP/8pOkIzs8aWJ9n5CXC+pMMkDZO0SeVR6wDNGkWXLmn8zl13wd//DltuCWPGwKc/DcceC088\nUXSEZmaNKU+ycx2wAXA58HfgEeDhip9mtgif+Qxccw3MmAHf/Cb88Y9pc9Httkvl779fdIRmZo0j\nT7KzRgvHmhU/zaydBg6EsWPhpZfg979Pqy8fdFAqP/XUlAyZmdniybOC8ottHR0RpFmj69YtjeO5\n8840tufAA+FnP4M114SddkrbUMybV3SUZmbllHdRwbUk/UTS5Oy4SNJatQ7OrDNaf3348Y/hX/+C\n8ePTBqMHHggrrwzHHQfTphUdoZlZueRZVHBn4ClgC+Cx7NgSeFLSyNqGZ9Z5LbccHHoo3H03PPss\nHH10GtszbBhstlmayfX220VHaWZW//L07PwQGBcRW0bEidmxJfBj4JzahmdmAOusA2efncb23Hwz\nDBoEJ56YensOOCCt2Ox1e8zMWpYn2dkA+FUL5ZcDgxcvHDNrS9euaZf1669Pu6t///tppeZddoHV\nV4dvfxueeaboKM3M6kueZOcNYEgL5UOA1xcvHDNrr/794X/+B558Mm04usceaVDz+uunVZp/8QuY\n7TXNzcxyJTuXAb+QdLKk7bLjFODn2TkzW4Ik2GILuOQSeO01+O1voVcv+PrXYcCANJV98mS/5jKz\nzitPsvM9YCzwDeDu7DgOOBM4K28gko6VNEPSXEn3S9p8EfWHS5oqaZ6kZyUd2kKdfSVNz+75qKRd\nm53fTtJNkv4laYGkPVr5rrGSXpX0nqQ/S/J2GVaXllkG9t8fJk5M43vOOAOmToWRI2GNNeC00+C5\n54qO0sxsycqzzk5ExLiIWBXoBfSKiFUj4sKIiDxBSNofOB84A9gMeBSYJKlvK/UHAbcAdwCbAhcC\nv6ycDSZpG+AaUm/TEOBG4AZJleOKliOt/HwM0GLskk4mJXNfJc1AezeLbek8bTVbUj79aTjllLRu\nz333wa67phlc666bVmr+1a9gzpyiozQz63iqNj+RtAbQNSKea1a+DjA/Il6oOgjpfuCBiDgh+yzg\nZeCiiDi3hfrnALtGxCYVZRNIiddu2effAstGxB4VdaYAD0fEMS3ccwGwV0Tc1Kz8VeBHETEu+9wT\nmAUcGhHXtnCfocDUqVOnMnTo0Gr/KMw61Ny5cMMNcMUV6dVWjx7wpS/BYYfB8OFp/y4zs6JMmzaN\nYcOGAQyLiJqtKpbn/9rGk9bVaW7L7FxVJHUDhpF6aYDUewRMBrZu5bKtsvOVJjWrv3U76iwqtjWA\nAc1im0Pa+b3d9zGrFz16wOjRcPvt8OKL8J3vwJQpMGJEWq35jDPg+eeLjtLMrLbyJDubAVNaKL+f\nlmdpLUpfYClSb0mlWaREoyUDWqnfU1L3RdRp7Z6tfU/U4D5mdWfgwDRV/dln4a9/TeN6xo2DtdaC\nHXZIqzf/979FR2lmtvi65rgmgJ4tlPciJS0GjBkzhl69ei1UNnr0aEaPHl1QRGYtk2DbbdPx4x+n\nNXzGj4fDD0/bU+yzT/p9u+38msvMamfChAlMmDBhobLZHbReRp5k5x7gVEmjI+IjAElLAacCf81x\nvzeBj4D+zcr7AzNbuWZmK/XnRMT7i6jT2j1b+x5l11X27vQHHm7rwnHjxnnMjpXOcsvBwQen48UX\n4aqrUuJz5ZVpNtehh6Zj0KCiIzWzsmupA6BizE5N5fl32snA54BnJF0h6QrgGWB74P9Ve7OImA9M\nBUY0lWUDlEcA97Vy2ZTK+plRLPx6raU6I2n5FVxrsc0gJTyVsfUkjU9qLTazhrD66vC//wv/+Afc\nc08awPyjH6Wk53OfS4nQu+8WHaWZ2aLlmXr+FLAJcC2wErA8cBWwfkQ8kTOOC4CjJB0iaX3gUmBZ\nsgHPks6WdGVF/UuBNSWdI2k9SccA+2T3aXIhsIukE7M6Z5IGQl/cVEHScpI2ldQ01mjN7PPAivv8\nGDhN0hckbZy19RXSVHazhielV1iXXw4zZ6ZenojUwzNgABx5JNx7byozM6tHeV5jERGvAt+uVRAR\ncW22ps5Y0iuiR4CdI+KNrMoAYGBF/Rck7Q6MA44nJR9HRsTkijpTJB0IfD87ngP2zJK1Jp8B/kIa\nhxSktX4ArgSOyO5zrqRlSStE9wbuJU17/6BW7Tcri099Cg45JB0zZnz8muvyy9PA5sMOS+dWW63o\nSM3MPlb1OjvWNq+zY53NggXpNdf48fD736e1fEaMSInP3nvDsssWHaGZlUU9rbNjZvZ/unRJ43nG\nj0+vuX71K/jggzTIeeWV4RvfSKs4m5kVxcmOmdXM8sunaep3350GNh93HFx7LQwenHp7/vhH+PDD\noqM0s87GyY6ZdYi11oLvfz9tSPqb38C8eWlrikGD4HvfS71AZmZLQq5kR1JXSTtJ+pqk5bOyVSR9\nqrbhmVnZde8OBx4If/sbTJuWNiQ9++w0iHn06LR6s4cOmllHqjrZkbQ68Dhp6vVPgX7ZqZOB82oX\nmpk1ms02g8sug3/9C845Bx56KE1r/8xnUu/P/PlFR2hmjShPz86FwENAH2BuRfn1fHIRPzOzT+jT\nB8aMgWeegYkToW/fNKB5jTXg3HPh3/8uOkIzayR5kp3tgLNaWGfmBeDTix2RmXUaXbrALrvApEnw\n2GNpM9LTTkublH7zm2ktHzOzxZUn2elCyxt+rgr8Z/HCMbPOauON4Yor0p5cJ5wAv/41rL027Lcf\nPNzmTnRmZm3Lk+zcDnyz4nNkA5O/C9xWk6jMrNNaeWU46yx4+WW4+GKYOhWGDoXdd4f7vCOdmeWQ\nJ9n5FrCtpKeAZYBr+PgV1sm1C83MOrNll4Wvfz2N67n6anjhBdh2W9hxR7jjDs/gMrP2y7MR6CvA\npsAPSHtTPQycAmwWEa/XNjwz6+y6doWDDoLHH4frroM5c2CnnWDrreHmm530mNmi5VpnJyI+jIir\nI+KkiDgmIn4ZEXMXfaWZWT5dusAXv5imq0+cCN26wR57pGnrEyc66TGz1uXa9VzSOsCOwEo0S5gi\nYmwN4jIza5GUZnDtsgvcdVeavbXbbukV11lnpX26zMwq5VlU8ChgOjAW2AfYu+LYq6bRmZm1Yfhw\nuPde+NOf4P3303ienXaC++8vOjIzqyd5XmOdBnwnIgZExJCI2KziGFrrAM3M2iLBzjvDgw/C9dfD\nrFlpPM+++6bNSM3M8iQ7fYDf1zoQM7PFIcFee8Gjj8JVV6XencGD0+KEb71VdHRmVqQ8yc7vgVG1\nDsTMrBa6dIEvfxmefRa++124/PK0A/t556Wd182s88mT7PwD+J6k8ZK+Jen4yqPWAZqZ5dGjB5x6\nanqVddBBcMopsNFGcJuXPjXrdPIkO18F/gvsABwHjKk4vtnGdWZmS9xKK8FPf5rW6Rk0KK3EvOee\n3nfLrDPJs6jgGm0ca3ZEkGZ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UzxKqb2cZn2VLJJ2SxX7BIuot9jN1slOl9mwe2qz+IBax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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fb5c668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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z7ZI0ewwc0iZoeLg8mOyBBzZcHnxw4nWtvRIAO+xQwsQuu5TeiIMOar4e/brr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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fb5c5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FeHdmXhcR5zXtv52ywu6IVaHl9cBRmXl/87HMvC8iFlNmAv2mKj+JMi7loqrYPGB9Vebq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\nD0ckw/YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c6ac9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(times*1e3, concentrations[:,i_heptane])\n",
    "plt.ylabel(\"Heptane concentration (kmol/m3)\")\n",
    "plt.xlabel(\"Time (ms)\")\n",
    "plt.ylim(0,)\n",
    "plt.show()\n",
    "plt.plot(times*1e3, pressures/1e5)\n",
    "plt.xlabel(\"Time (ms)\")\n",
    "plt.ylabel(\"Pressure (bar)\")\n",
    "plt.show()\n",
    "plt.plot(times*1e3, temperatures)\n",
    "plt.xlabel(\"Time (ms)\")\n",
    "plt.ylabel(\"Temperature (K)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although the timescale is milliseconds instead of hours, that looks remarkably like the thermal runaway reaction that caused the T2 laboratory explosion that we studied last lecture. This time, however, it's not just a thermal runaway but a chemical runaway - it's the gradual accumulation of reactive radical species like `OH` that is auto-catalytic.\n",
    "\n",
    "Let's look at some of the other species:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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D2c659cBtwI+T1TgREWlp3xZe6pERSTzI1AOR6O9b8ObJAFQB/Q+1USIi0jqz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\nRYWMoiiKoihly/8Hzh3mIwuUl44AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bfa4400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# skip the zeroth species which is nitrogen\n",
    "plt.plot(times*1e3, concentrations[:,1:])\n",
    "plt.ylim(0,)\n",
    "plt.ylabel(\"Concentration\")\n",
    "plt.xlabel(\"Time (ms)\")\n",
    "for i, name in enumerate(gas.species_names):\n",
    "    if i==0: continue\n",
    "    concentration = concentrations[:,i]\n",
    "    peak_concentration = max(concentration)\n",
    "    if peak_concentration > 0.001:\n",
    "        peak_time = times[concentration.argmax()]\n",
    "        plt.text(peak_time*1e3, peak_concentration, name)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's zoom in on the y axis by making it logarithmic:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vueuuu0ind/yFr5Ti6quv5vpvXU8mn2G+MZ/GoJFTOIXqVDV1s+uonVtLRX0F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vYGiiycPxVb9Ca2G0UWGPewtJ0B4UwsDx9TQHczt0TqmbHGReR2F2M69mBDyucQXAwLmiHsDUHR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\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b7lE/MWBVHwr0MHuUP4s/3IhQ15tnZ3zBnH0LUVzuT7dxriSbTDwREEBGxqcolUdYtSqE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\nXh6YfAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bfa48d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.semilogy(times*1e3, concentrations)\n",
    "plt.ylim(1e-15,1)\n",
    "plt.ylabel(\"Concentration\")\n",
    "plt.xlabel(\"Time (ms)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What a mess! Let's zoom in a little and see if we can pick out any significant intermediates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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000+pqKhgWJ9hFFDgS1BiHLhc4Mn34OxW30RJkdDR1EWy/i7U1h3Irqf9AJDo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\n0zRN0zodnaBomqZpmtbp/H+3UtYtufn98QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bfd1128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.semilogy(times*1e3, concentrations)\n",
    "plt.ylim(1e-4,1)\n",
    "\n",
    "# Add some labels\n",
    "for t in [1.5, 3]:\n",
    "    i = (times*1e3>t).nonzero()[0][0]\n",
    "    time = times[i]*1e3\n",
    "    for j, name in enumerate(gas.species_names):\n",
    "        concentration = concentrations[i,j]\n",
    "        if concentration > 1e-4:\n",
    "            plt.text(time, concentration, name)\n",
    "plt.ylabel(\"Concentration\")\n",
    "plt.xlabel(\"Time (ms)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Not really!  We would have to do a flux analysis and [reaction path diagram](http://www.cantera.org/docs/sphinx/html/cython/examples/kinetics_reaction_path.html) to see what is going on. \n",
    "\n",
    "## Defining ignition delay time.\n",
    "We want to identify when the ignition occurs, so that we could compare our simulation with an experiment.\n",
    "Some experiments measure pressure rise; some monitor the concentration of an intermediate like `OH` via laser absorption; but other studies monitor the luminescence of excited `OH*` decaying to ground state `OH` (which it does by emitting a photon). This process is proportional to the rate of formation (not concentration) of `OH*`, which is predominantly made by reaction of `CH` with `O2`, so it is pretty closely proportional to the product `[CH][O2]`, i.e. \"brightest flash of light\" is propontional to “peak `OH*` emission” which can be modeled as “peak in the product of `[CH]` and `[O2]`”.  Likewise photoemission from creation of excited `CH*` can be modeled reasonably as the product `[C2H][O]`. When modeling an experiment it's important to know precisely what the experimenter measurend and how they defined their derived parameters. For now we'll look for the peak in `OH*` emission:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4MyK2HvS+JakfrmordVdlzMcrgQd2aX8gcMTMyunJUuCLmXlSZl4JvB64G3j1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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c0d40f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ignition delay time is 2.496 ms\n"
     ]
    }
   ],
   "source": [
    "i_ch = gas.species_index('ch')\n",
    "i_o2 = gas.species_index('o2')\n",
    "excited_oh_generation = concentrations[:,i_ch] * concentrations[:,i_o2]\n",
    "plt.plot(times*1e3, excited_oh_generation)\n",
    "plt.xlabel(\"Time (ms)\")\n",
    "plt.ylabel(\"Excited OH* emission (arbitrary units)\")\n",
    "plt.show()\n",
    "ignition_time = times[excited_oh_generation.argmax()]\n",
    "print(\"Ignition delay time is {0} ms\".format(ignition_time * 1e3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Now let's put it all together, into a function that takes temperature, pressure, and stoichiometry, and predicts ignition delay time for n-heptane. It's a bit different from before - now we let the ODE solver choose the array of times, which means we don't know how long it will be when we begin, so we have to use lists (which can grow as we add to them) and convert to arrays when we've finished. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def get_ignition_delay(temperature, pressure = 10.,\n",
    "                       stoichiometry = 1.0, plot = False):\n",
    "    \"\"\"\n",
    "    Get the ignition delay time in miliseconds, at the specified\n",
    "    temperature (K), pressure (bar), and stoichiometry \n",
    "    (stoichiometric = 1.0, fuel-rich > 1.0, oxygen-rich < 1.0).\n",
    "    Default pressure is 10.0 bar, default stoichoimetry is 1.0.\n",
    "    If plot=True then it draws a plot (default is False).\n",
    "    \"\"\"\n",
    "    oxygen_mole = 1. \n",
    "    nitrogen_mole = 4*oxygen_mole\n",
    "    heptane_mole = stoichiometry/11\n",
    "    X_string = 'nc7h16:{0},o2:{1},n2:{2}'.format(heptane_mole, oxygen_mole, nitrogen_mole)\n",
    "\n",
    "    gas.TPX = temperature, pressure*1e5, X_string\n",
    "    reactor = ct.IdealGasReactor(gas)\n",
    "    reactor_network = ct.ReactorNet([reactor])\n",
    "\n",
    "    time = 0.0\n",
    "    end_time = 10e-3 \n",
    "    \n",
    "    # Use lists instead of arrays, so they can be any length\n",
    "    times = []\n",
    "    concentrations = []\n",
    "    pressures = []\n",
    "    temperatures = []\n",
    "    \n",
    "    print_data = True\n",
    "    while time < end_time:\n",
    "        time = reactor_network.time\n",
    "        times.append(time)\n",
    "        temperatures.append(reactor.T)\n",
    "        pressures.append(reactor.thermo.P)\n",
    "        concentrations.append(reactor.thermo.concentrations)\n",
    "        # take a timestep towards the end_time.\n",
    "        # the size of the step will be determined by the ODE solver\n",
    "        # depending on how quickly things are changing.\n",
    "        reactor_network.step(end_time)\n",
    "    \n",
    "    print(\"Reached end time {0:.2f} ms in {1} steps\".format(times[-1]*1e3, len(times)))\n",
    "    # convert the lists into arrays\n",
    "    concentrations = np.array(concentrations)\n",
    "    times = np.array(times)\n",
    "    pressures = np.array(pressures)\n",
    "    temperatures = np.array(temperatures)\n",
    "\n",
    "    if plot:\n",
    "        plt.subplot(2,1,1)\n",
    "        plt.plot(times*1e3, pressures/1e5)\n",
    "        plt.ylabel(\"Pressure (bar)\", color='b')\n",
    "        ax2 = plt.gca().twinx()\n",
    "        ax2.set_ylabel('Temperature (K)', color='r')\n",
    "        ax2.plot(times*1e3, temperatures, 'r')\n",
    "    i_ch = gas.species_index('ch')\n",
    "    i_o2 = gas.species_index('o2')\n",
    "    excited_oh_generation = concentrations[:,i_o2] * concentrations[:,i_ch]\n",
    "    if plot:\n",
    "        plt.subplot(2,1,2)\n",
    "        plt.plot(times*1e3, excited_oh_generation, 'g')\n",
    "        plt.ylabel(\"OH* emission\")\n",
    "        plt.ylim(0,max(1e-8,1.1*max(excited_oh_generation)))\n",
    "        plt.xlabel(\"Time (ms)\")\n",
    "        plt.tight_layout()\n",
    "        plt.show()\n",
    "    step_with_highest_oh_gen = excited_oh_generation.argmax()\n",
    "    if step_with_highest_oh_gen > 1 and excited_oh_generation.max()>1e-20:\n",
    "        ignition_time_ms = 1e3 * times[step_with_highest_oh_gen]\n",
    "        print(\"At {0} K {1} bar, ignition delay time is {2} ms\".format(temperature, pressure, ignition_time_ms))\n",
    "        return ignition_time_ms\n",
    "    else:\n",
    "        print(\"At {0} K {1} bar, no ignition detected\".format(temperature, pressure))\n",
    "        return np.infty\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's test it at 1000 K, 10 bar."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reached end time 16.46 ms in 3844 steps\n"
     ]
    },
    {
     "data": {
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lfzJ//c0bHYmZmfUnEb0yfKeQxEniWFKf4WTgm6xs8noZ+Ao4cbJuPPssg5ct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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bf4a860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "At 1000 K 10 bar, ignition delay time is 4.076377939233235 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "4.0763779392332351"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "get_ignition_delay(1000, 10, plot=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's repeat it at a range of temperatures and pressures, and plot all the delay times on one graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reached end time 16.46 ms in 3844 steps\n",
      "At 1000.0 K 10 bar, ignition delay time is 4.076377939233235 ms\n",
      "Reached end time 12.30 ms in 3749 steps\n",
      "At 1020.8333333333334 K 10 bar, ignition delay time is 3.031301714993015 ms\n",
      "Reached end time 16.25 ms in 3570 steps\n",
      "At 1041.6666666666667 K 10 bar, ignition delay time is 2.2619690437251014 ms\n",
      "Reached end time 15.01 ms in 3711 steps\n",
      "At 1062.5 K 10 bar, ignition delay time is 1.7024844250438584 ms\n",
      "Reached end time 18.54 ms in 3752 steps\n",
      "At 1083.3333333333333 K 10 bar, ignition delay time is 1.293966504435399 ms\n",
      "Reached end time 18.38 ms in 3699 steps\n",
      "At 1104.1666666666667 K 10 bar, ignition delay time is 0.9922337993995051 ms\n",
      "Reached end time 19.20 ms in 3460 steps\n",
      "At 1125.0 K 10 bar, ignition delay time is 0.7663617661996656 ms\n",
      "Reached end time 13.64 ms in 3823 steps\n",
      "At 1145.8333333333333 K 10 bar, ignition delay time is 0.5952239664936644 ms\n",
      "Reached end time 13.20 ms in 3510 steps\n",
      "At 1166.6666666666667 K 10 bar, ignition delay time is 0.464331297438793 ms\n",
      "Reached end time 12.29 ms in 3444 steps\n",
      "At 1187.5 K 10 bar, ignition delay time is 0.36352633353175234 ms\n",
      "Reached end time 13.55 ms in 3454 steps\n",
      "At 1208.3333333333333 K 10 bar, ignition delay time is 0.28549109297524033 ms\n",
      "Reached end time 11.62 ms in 3406 steps\n",
      "At 1229.1666666666667 K 10 bar, ignition delay time is 0.2248297419457599 ms\n",
      "Reached end time 19.34 ms in 3230 steps\n",
      "At 1250.0 K 10 bar, ignition delay time is 0.17750816296397395 ms\n",
      "Reached end time 15.45 ms in 3413 steps\n",
      "At 1270.8333333333333 K 10 bar, ignition delay time is 0.14048393998102873 ms\n",
      "Reached end time 13.55 ms in 3476 steps\n",
      "At 1291.6666666666665 K 10 bar, ignition delay time is 0.11144925992367564 ms\n",
      "Reached end time 13.14 ms in 3417 steps\n",
      "At 1312.5 K 10 bar, ignition delay time is 0.08863956687117934 ms\n",
      "Reached end time 11.62 ms in 3293 steps\n",
      "At 1333.3333333333333 K 10 bar, ignition delay time is 0.07069725463540605 ms\n",
      "Reached end time 17.48 ms in 3255 steps\n",
      "At 1354.1666666666665 K 10 bar, ignition delay time is 0.05656740858482571 ms\n",
      "Reached end time 11.67 ms in 3224 steps\n",
      "At 1375.0 K 10 bar, ignition delay time is 0.04542794660328178 ms\n",
      "Reached end time 14.09 ms in 3290 steps\n",
      "At 1395.8333333333333 K 10 bar, ignition delay time is 0.036631650442572564 ms\n",
      "Reached end time 15.54 ms in 3161 steps\n",
      "At 1416.6666666666665 K 10 bar, ignition delay time is 0.029673116319775004 ms\n",
      "Reached end time 18.63 ms in 3236 steps\n",
      "At 1437.5 K 10 bar, ignition delay time is 0.024154492027510088 ms\n",
      "Reached end time 12.68 ms in 3137 steps\n",
      "At 1458.3333333333333 K 10 bar, ignition delay time is 0.019763261836431425 ms\n",
      "Reached end time 17.26 ms in 3052 steps\n",
      "At 1479.1666666666665 K 10 bar, ignition delay time is 0.016256339187557717 ms\n",
      "Reached end time 16.61 ms in 3106 steps\n",
      "At 1500.0 K 10 bar, ignition delay time is 0.01344412081528574 ms\n",
      "Reached end time 12.95 ms in 3614 steps\n",
      "At 1000.0 K 50 bar, ignition delay time is 0.6292080231511363 ms\n",
      "Reached end time 16.49 ms in 3547 steps\n",
      "At 1020.8333333333334 K 50 bar, ignition delay time is 0.5838900726356984 ms\n",
      "Reached end time 16.61 ms in 3750 steps\n",
      "At 1041.6666666666667 K 50 bar, ignition delay time is 0.4967603422719247 ms\n",
      "Reached end time 12.93 ms in 3520 steps\n",
      "At 1062.5 K 50 bar, ignition delay time is 0.40125012199946775 ms\n",
      "Reached end time 12.73 ms in 3298 steps\n",
      "At 1083.3333333333333 K 50 bar, ignition delay time is 0.3161212117486007 ms\n",
      "Reached end time 12.32 ms in 3273 steps\n",
      "At 1104.1666666666667 K 50 bar, ignition delay time is 0.24706916175561436 ms\n",
      "Reached end time 18.43 ms in 3594 steps\n",
      "At 1125.0 K 50 bar, ignition delay time is 0.19342332337756657 ms\n",
      "Reached end time 12.22 ms in 3225 steps\n",
      "At 1145.8333333333333 K 50 bar, ignition delay time is 0.15242501094099517 ms\n",
      "Reached end time 16.07 ms in 3076 steps\n",
      "At 1166.6666666666667 K 50 bar, ignition delay time is 0.12112737142666861 ms\n",
      "Reached end time 11.64 ms in 3153 steps\n",
      "At 1187.5 K 50 bar, ignition delay time is 0.09704640014033789 ms\n",
      "Reached end time 11.78 ms in 3285 steps\n",
      "At 1208.3333333333333 K 50 bar, ignition delay time is 0.07828929344293985 ms\n",
      "Reached end time 12.62 ms in 3247 steps\n",
      "At 1229.1666666666667 K 50 bar, ignition delay time is 0.06348416618445184 ms\n",
      "Reached end time 12.93 ms in 3428 steps\n",
      "At 1250.0 K 50 bar, ignition delay time is 0.051662041484255336 ms\n",
      "Reached end time 13.42 ms in 3155 steps\n",
      "At 1270.8333333333333 K 50 bar, ignition delay time is 0.042139814724123155 ms\n",
      "Reached end time 19.31 ms in 3122 steps\n",
      "At 1291.6666666666665 K 50 bar, ignition delay time is 0.034427410287145147 ms\n",
      "Reached end time 15.19 ms in 3020 steps\n",
      "At 1312.5 K 50 bar, ignition delay time is 0.028161882095232404 ms\n",
      "Reached end time 19.94 ms in 3161 steps\n",
      "At 1333.3333333333333 K 50 bar, ignition delay time is 0.023064886638918935 ms\n",
      "Reached end time 19.13 ms in 3041 steps\n",
      "At 1354.1666666666665 K 50 bar, ignition delay time is 0.01891689190388982 ms\n",
      "Reached end time 19.78 ms in 3205 steps\n",
      "At 1375.0 K 50 bar, ignition delay time is 0.015540849844321096 ms\n",
      "Reached end time 13.02 ms in 2987 steps\n",
      "At 1395.8333333333333 K 50 bar, ignition delay time is 0.012792764922705768 ms\n",
      "Reached end time 10.55 ms in 3035 steps\n",
      "At 1416.6666666666665 K 50 bar, ignition delay time is 0.010555479879624984 ms\n",
      "Reached end time 12.11 ms in 2939 steps\n",
      "At 1437.5 K 50 bar, ignition delay time is 0.008732762156627001 ms\n",
      "Reached end time 13.96 ms in 2923 steps\n",
      "At 1458.3333333333333 K 50 bar, ignition delay time is 0.007246698709252861 ms\n",
      "Reached end time 19.75 ms in 2790 steps\n",
      "At 1479.1666666666665 K 50 bar, ignition delay time is 0.006033286933873012 ms\n",
      "Reached end time 19.09 ms in 2873 steps\n",
      "At 1500.0 K 50 bar, ignition delay time is 0.005040947711789171 ms\n"
     ]
    },
    {
     "data": {
      "image/png": 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3n0q+dlJyEnF417B069aNbt26nfg8v1lo3749o0aN4v333wfgyJEjAJx55plFrpE/4nHk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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c1c93c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "temperatures = np.linspace(1000,1500.,25)\n",
    "ignition_delay_times = np.zeros_like(temperatures)\n",
    "for P in [10,50]:\n",
    "    for i,T in enumerate(temperatures):\n",
    "        ignition_delay_times[i] = get_ignition_delay(T, P)\n",
    "    plt.semilogy(1000./temperatures, ignition_delay_times, 'o-', label='{0} bar'.format(P))\n",
    "\n",
    "plt.legend(loc='best')\n",
    "plt.xlabel(\"1000K / temperature\")\n",
    "plt.ylabel(\"Ignition delay time (ms)\")\n",
    "plt.ylim(1e-2,)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Question (d)\n",
    "Explain why this look as you would expect from Arrhenius behaviour."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Question (e)\n",
    "Repeat the analysis but going down to 650K (i.e. cover the range 650-1500K).\n",
    "Describe and try to explain what you find."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reached end time 10.14 ms in 41 steps\n",
      "At 650.0 K 10 bar, no ignition detected\n",
      "Reached end time 10.02 ms in 171 steps\n",
      "At 685.4166666666666 K 10 bar, no ignition detected\n",
      "Reached end time 18.55 ms in 5360 steps\n",
      "At 720.8333333333334 K 10 bar, ignition delay time is 5.600085215879025 ms\n",
      "Reached end time 10.46 ms in 5212 steps\n",
      "At 756.25 K 10 bar, ignition delay time is 3.046857331779307 ms\n",
      "Reached end time 15.07 ms in 4993 steps\n",
      "At 791.6666666666666 K 10 bar, ignition delay time is 2.4699814213865374 ms\n",
      "Reached end time 13.71 ms in 4891 steps\n",
      "At 827.0833333333333 K 10 bar, ignition delay time is 2.9739623772888204 ms\n",
      "Reached end time 11.10 ms in 4595 steps\n",
      "At 862.5 K 10 bar, ignition delay time is 4.751325560071203 ms\n",
      "Reached end time 17.29 ms in 4117 steps\n",
      "At 897.9166666666666 K 10 bar, ignition delay time is 7.7486164086108715 ms\n",
      "Reached end time 15.01 ms in 3923 steps\n",
      "At 933.3333333333333 K 10 bar, ignition delay time is 8.539998761866903 ms\n",
      "Reached end time 13.57 ms in 3839 steps\n",
      "At 968.75 K 10 bar, ignition delay time is 6.210130966723334 ms\n",
      "Reached end time 10.97 ms in 3936 steps\n",
      "At 1004.1666666666666 K 10 bar, ignition delay time is 3.842558045668073 ms\n",
      "Reached end time 18.68 ms in 3833 steps\n",
      "At 1039.5833333333333 K 10 bar, ignition delay time is 2.3283734867883363 ms\n",
      "Reached end time 13.19 ms in 3723 steps\n",
      "At 1075.0 K 10 bar, ignition delay time is 1.4424160215707247 ms\n",
      "Reached end time 14.25 ms in 3506 steps\n",
      "At 1110.4166666666665 K 10 bar, ignition delay time is 0.9176265973357445 ms\n",
      "Reached end time 13.64 ms in 3823 steps\n",
      "At 1145.8333333333333 K 10 bar, ignition delay time is 0.5952239664936644 ms\n",
      "Reached end time 12.01 ms in 3549 steps\n",
      "At 1181.25 K 10 bar, ignition delay time is 0.39108790797370346 ms\n",
      "Reached end time 12.41 ms in 3459 steps\n",
      "At 1216.6666666666665 K 10 bar, ignition delay time is 0.25939315071658214 ms\n",
      "Reached end time 14.72 ms in 3449 steps\n",
      "At 1252.0833333333333 K 10 bar, ignition delay time is 0.17338533000415118 ms\n",
      "Reached end time 11.62 ms in 3216 steps\n",
      "At 1287.5 K 10 bar, ignition delay time is 0.11670834227625083 ms\n",
      "Reached end time 14.45 ms in 3360 steps\n",
      "At 1322.9166666666665 K 10 bar, ignition delay time is 0.07913224000243622 ms\n",
      "Reached end time 14.78 ms in 3216 steps\n",
      "At 1358.3333333333333 K 10 bar, ignition delay time is 0.054123081851168195 ms\n",
      "Reached end time 11.78 ms in 3114 steps\n",
      "At 1393.75 K 10 bar, ignition delay time is 0.037421270378981866 ms\n",
      "Reached end time 12.97 ms in 3131 steps\n",
      "At 1429.1666666666665 K 10 bar, ignition delay time is 0.026210982453745188 ms\n",
      "Reached end time 10.53 ms in 3034 steps\n",
      "At 1464.5833333333333 K 10 bar, ignition delay time is 0.018627783061155936 ms\n",
      "Reached end time 16.61 ms in 3106 steps\n",
      "At 1500.0 K 10 bar, ignition delay time is 0.01344412081528574 ms\n",
      "Reached end time 10.18 ms in 91 steps\n",
      "At 650.0 K 50 bar, no ignition detected\n",
      "Reached end time 10.00 ms in 267 steps\n",
      "At 685.4166666666666 K 50 bar, no ignition detected\n",
      "Reached end time 10.30 ms in 4812 steps\n",
      "At 720.8333333333334 K 50 bar, ignition delay time is 3.9929255728929802 ms\n",
      "Reached end time 15.37 ms in 4751 steps\n",
      "At 756.25 K 50 bar, ignition delay time is 1.6786731689993457 ms\n",
      "Reached end time 13.95 ms in 4494 steps\n",
      "At 791.6666666666666 K 50 bar, ignition delay time is 0.8349588607028383 ms\n",
      "Reached end time 13.68 ms in 4441 steps\n",
      "At 827.0833333333333 K 50 bar, ignition delay time is 0.5054641823624016 ms\n",
      "Reached end time 13.36 ms in 4292 steps\n",
      "At 862.5 K 50 bar, ignition delay time is 0.3861282490717692 ms\n",
      "Reached end time 12.42 ms in 4231 steps\n",
      "At 897.9166666666666 K 50 bar, ignition delay time is 0.3763488538480387 ms\n",
      "Reached end time 11.73 ms in 4034 steps\n",
      "At 933.3333333333333 K 50 bar, ignition delay time is 0.4469799959498358 ms\n",
      "Reached end time 17.75 ms in 3589 steps\n",
      "At 968.75 K 50 bar, ignition delay time is 0.5746940345447102 ms\n",
      "Reached end time 19.65 ms in 3681 steps\n",
      "At 1004.1666666666666 K 50 bar, ignition delay time is 0.625180252004019 ms\n",
      "Reached end time 18.11 ms in 3800 steps\n",
      "At 1039.5833333333333 K 50 bar, ignition delay time is 0.5063075275485517 ms\n",
      "Reached end time 12.64 ms in 3542 steps\n",
      "At 1075.0 K 50 bar, ignition delay time is 0.34835504392353966 ms\n",
      "Reached end time 11.14 ms in 3401 steps\n",
      "At 1110.4166666666665 K 50 bar, ignition delay time is 0.22946688724027564 ms\n",
      "Reached end time 12.22 ms in 3225 steps\n",
      "At 1145.8333333333333 K 50 bar, ignition delay time is 0.15242501094099517 ms\n",
      "Reached end time 11.09 ms in 3411 steps\n",
      "At 1181.25 K 50 bar, ignition delay time is 0.1036366610449206 ms\n",
      "Reached end time 12.34 ms in 3157 steps\n",
      "At 1216.6666666666665 K 50 bar, ignition delay time is 0.07195484747208845 ms\n",
      "Reached end time 17.45 ms in 3248 steps\n",
      "At 1252.0833333333333 K 50 bar, ignition delay time is 0.050615716334895276 ms\n",
      "Reached end time 10.63 ms in 3112 steps\n",
      "At 1287.5 K 50 bar, ignition delay time is 0.03584389234299902 ms\n",
      "Reached end time 18.82 ms in 3050 steps\n",
      "At 1322.9166666666665 K 50 bar, ignition delay time is 0.025482359326289467 ms\n",
      "Reached end time 11.44 ms in 3243 steps\n",
      "At 1358.3333333333333 K 50 bar, ignition delay time is 0.018184903842240627 ms\n",
      "Reached end time 15.94 ms in 3133 steps\n",
      "At 1393.75 K 50 bar, ignition delay time is 0.01304279140352751 ms\n",
      "Reached end time 11.65 ms in 3081 steps\n",
      "At 1429.1666666666665 K 50 bar, ignition delay time is 0.009417487535320825 ms\n",
      "Reached end time 11.51 ms in 2923 steps\n",
      "At 1464.5833333333333 K 50 bar, ignition delay time is 0.006856583150446243 ms\n",
      "Reached end time 19.09 ms in 2873 steps\n",
      "At 1500.0 K 50 bar, ignition delay time is 0.005040947711789171 ms\n"
     ]
    },
    {
     "data": {
      "image/png": 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HRo69/DPZ761AK+2s87KzDuTOt5JIToTrkd9j2WW3az1qlPGO9s47ZkfjXj76SGtPT607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\niIhklf8PW+TpQMCIybkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x103e74e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "temperatures = np.linspace(650,1500.,25)\n",
    "ignition_delay_times = np.zeros_like(temperatures)\n",
    "for P in [10,50]:\n",
    "    for i,T in enumerate(temperatures):\n",
    "        ignition_delay_times[i] = get_ignition_delay(T, P)\n",
    "    plt.semilogy(1000./temperatures, ignition_delay_times, 'o-', label='{0} bar'.format(P))\n",
    "\n",
    "plt.legend(loc='best')\n",
    "plt.xlabel(\"1000K / temperature\")\n",
    "plt.ylabel(\"Ignition delay time (ms)\")\n",
    "plt.ylim(1e-2,)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": true
   },
   "source": []
  }
 ],
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