{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "*This notebook contains course material from [CBE30338](https://jckantor.github.io/CBE30338)\n", "by Jeffrey Kantor (jeff at nd.edu); the content is available [on Github](https://github.com/jckantor/CBE30338.git).\n", "The text is released under the [CC-BY-NC-ND-4.0 license](https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode),\n", "and code is released under the [MIT license](https://opensource.org/licenses/MIT).*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Linear Blending Problem](http://nbviewer.jupyter.org/github/jckantor/CBE30338/blob/master/notebooks/06.06-Linear-Blending-Problem.ipynb) | [Contents](toc.ipynb) | [Gasoline Blending](http://nbviewer.jupyter.org/github/jckantor/CBE30338/blob/master/notebooks/06.08-Gasoline-Blending.ipynb) >
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Design of a Cold Weather Fuel"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The venerable alcohol stove has been invaluable camping accessory for generations. They are simple, reliable, and in a pinch, can be made from aluminum soda cans. \n",
"\n",
"![](./figures/alcohol_stove.jpeg)\n",
"\n",
"Alcohol stoves are typically fueled with denatured alcohol. Denatured alcohol, sometimes called methylated spirits, is a generally a mixture of ethanol and other alcohols and compounds designed to make it unfit for human consumption. An MSDS description of one [manufacturer's product](https://www.korellis.com/wordpress/wp-content/uploads/2016/05/Alcohol-Denatured.pdf) describes a roughly fifity/fifty mixture of ethanol and methanol.\n",
"\n",
"The problem with alcohol stoves is they can be difficult to light in below freezing weather. The purpose of this notebook is to design of an alternative cold weather fuel that could be mixed from other materials commonly available from hardware or home improvement stores."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Data\n",
"\n",
"The following data was collected for potential fuels commonly available at hardware and home improvement stores. The data consists of price (\\$/gal.) and parameters to predict vapor pressure using the Antoine equation,\n",
"\n",
"\\begin{align}\n",
"\\log_{10}P^{vap}_{s}(T) & = A_s - \\frac{B_s}{T + C_s}\n",
"\\end{align}\n",
"\n",
"where the subscript $s$ refers to species, temperature $T$ is in units of degrees Celcius, and pressure $P$ is in units of mmHg. The additional information for molecular weight and specific gravity will be needed to present the final results in volume fraction."
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {},
"outputs": [],
"source": [
"data = {\n",
" 'ethanol' : {'MW': 46.07, 'SG': 0.791, 'A': 8.04494, 'B': 1554.3, 'C': 222.65},\n",
" 'methanol' : {'MW': 32.04, 'SG': 0.791, 'A': 7.89750, 'B': 1474.08, 'C': 229.13},\n",
" 'isopropyl alcohol': {'MW': 60.10, 'SG': 0.785, 'A': 8.11778, 'B': 1580.92, 'C': 219.61},\n",
" 'acetone' : {'MW': 58.08, 'SG': 0.787, 'A': 7.02447, 'B': 1161.0, 'C': 224.0},\n",
" 'xylene' : {'MW': 106.16, 'SG': 0.870, 'A': 6.99052, 'B': 1453.43, 'C': 215.31},\n",
" 'toluene' : {'MW': 92.14, 'SG': 0.865, 'A': 6.95464, 'B': 1344.8, 'C': 219.48},\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Denatured Alcohol\n",
"\n",
"The first step is to determine the vapor pressure of denatured alcohol over a typical range of operating temperatures. For this we assume denatured alcohol is a 40/60 (mole fraction) mixture of ethanol and methanol. "
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Vapor Pressure at 0C = 22.1 mmHg\n"
]
},
{
"data": {
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\n",
"text/plain": [
" "
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.4"
}
},
"nbformat": 4,
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}
\n",
" \n",
"
\n",
"\n",
" \n",
" \n",
" \n",
" \n",
" A \n",
" B \n",
" C \n",
" MW \n",
" SG \n",
" mole fraction \n",
" mass fraction \n",
" vol fraction \n",
" \n",
" \n",
" acetone \n",
" 7.02447 \n",
" 1161.00 \n",
" 224.00 \n",
" 58.08 \n",
" 0.787 \n",
" 0.428164 \n",
" 0.2906 \n",
" 0.311695 \n",
" \n",
" \n",
" ethanol \n",
" 8.04494 \n",
" 1554.30 \n",
" 222.65 \n",
" 46.07 \n",
" 0.791 \n",
" 0.000000 \n",
" 0.0000 \n",
" 0.000000 \n",
" \n",
" \n",
" isopropyl alcohol \n",
" 8.11778 \n",
" 1580.92 \n",
" 219.61 \n",
" 60.10 \n",
" 0.785 \n",
" 0.000000 \n",
" 0.0000 \n",
" 0.000000 \n",
" \n",
" \n",
" methanol \n",
" 7.89750 \n",
" 1474.08 \n",
" 229.13 \n",
" 32.04 \n",
" 0.791 \n",
" 0.000000 \n",
" 0.0000 \n",
" 0.000000 \n",
" \n",
" \n",
" toluene \n",
" 6.95464 \n",
" 1344.80 \n",
" 219.48 \n",
" 92.14 \n",
" 0.865 \n",
" 0.000000 \n",
" 0.0000 \n",
" 0.000000 \n",
" \n",
" \n",
" \n",
"xylene \n",
" 6.99052 \n",
" 1453.43 \n",
" 215.31 \n",
" 106.16 \n",
" 0.870 \n",
" 0.571836 \n",
" 0.7094 \n",
" 0.688305 \n",
"