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_posts/2021-04-01-air-propulsion-simulation/AeroTech_F10.csv
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_posts/2021-04-01-air-propulsion-simulation/AeroTech_F10.csv
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"Time (s)","Thrust (N)"
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0.01,16.81
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0.03,22.34
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0.11,22.23
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0.26,21.49
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0.37,20
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||||||
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0.47,20.21
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0.67,18.09
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0.99,15.74
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1.31,13.4
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1.81,10.85
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2.49,10.21
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3.13,8.94
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3.6,8.83
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4.11,8.62
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4.95,8.62
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5.45,8.62
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5.58,8.51
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5.88,8.72
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6.22,8.51
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6.46,8.51
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6.6,7.77
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6.71,7.02
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6.79,5.64
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6.91,3.83
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6.95,2.23
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7,0.96
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7.05,0
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"Time (s)","Thrust (N)"
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0.024,0.3704
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0.066,0.8746
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0.138,4.5044
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0.246,6.6207
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0.426,6.7351
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1.218,7.3232
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2.082,7.423
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3.306,7.183
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5.322,6.8385
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6.978,6.7193
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8.632,6.5512
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10.144,6.4792
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12.088,6.4254
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15.472,6.3333
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17.632,6.1305
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19.108,6.0385
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19.511,5.9607
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19.804,4.4295
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19.867,1.6687
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19.937,0.3341
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19.964,0
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_posts/2021-04-01-air-propulsion-simulation/Estes_F15.csv
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"Time (s)","Thrust (N)"
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0,0
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0.148,7.638
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0.228,12.253
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0.294,16.391
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0.353,20.21
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0.382,22.756
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0.419,25.26
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0.477,23.074
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0.52,20.845
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0.593,19.093
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0.688,17.5
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0.855,16.225
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1.037,15.427
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1.205,14.948
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1.423,14.627
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1.452,15.741
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1.503,14.785
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1.736,14.623
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1.955,14.303
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2.21,14.141
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2.494,13.819
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2.763,13.338
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3.12,13.334
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3.382,13.013
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3.404,9.352
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3.418,4.895
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3.45,0
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{"title":"Air Propulsion Simulation","description":"Simulating the performance of an air propulsion system as an alternative to solid rocket motors.","authors":[{"author":"Anson Biggs","authorURL":"https://ansonbiggs.com","affiliation":" ","affiliationURL":"#","orcidID":""}],"publishedDate":"2021-04-01T00:00:00.000-07:00","citationText":"Biggs, 2021"}
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<div class="dt=tag">Capstone</div>
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<div class="dt=tag">Capstone</div>
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<p><p>Simulating the performace of an air propulsion system as an alternative to solid rocket motors.</p></p>
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<p><p>Simulating the performance of an air propulsion system as an alternative to solid rocket motors.</p></p>
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<p>Boilerplate intro about why all of this was done</p>
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<p>For my team was tasked with designing a system capable of moving mining equipment and materials around the surface of the Moon using a propolsive landing. The system had to be tested on earth with something that was feasible for our team to build in 2 semesters. One of the first considerations my capstone advisor wanted was to test the feasibility of an air propulsion system instead of the obvious solution that of using solid rocket motors. This document is really just <em>napkin math</em> to determine if the system is even feasibly and is not mean’t to be a rigorous study of an air propulsion system which would easily keep a capstone team busy by itself.</p>
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<details>
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<details>
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<summary>
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<summary>
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@ -1497,69 +1496,305 @@ Show code
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<span id="cb1-5"><a href="#cb1-5" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Unitful</span>
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<span id="cb1-5"><a href="#cb1-5" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Unitful</span>
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<span id="cb1-6"><a href="#cb1-6" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> DataFrames</span>
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<span id="cb1-6"><a href="#cb1-6" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> DataFrames</span>
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<span id="cb1-7"><a href="#cb1-7" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Measurements</span>
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<span id="cb1-7"><a href="#cb1-7" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Measurements</span>
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<span id="cb1-8"><a href="#cb1-8" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Measurements<span class="op">:</span> value<span class="op">,</span> uncertainty</span></code></pre></div>
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<span id="cb1-8"><a href="#cb1-8" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Measurements<span class="op">:</span> value<span class="op">,</span> uncertainty</span>
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<span id="cb1-9"><a href="#cb1-9" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> CSV</span></code></pre></div>
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</details>
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</details>
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</div>
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<p>This code is just the setup, using values scraped from various parts of the world wide web.</p>
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<p>An off the shelf paintball gun tank was used for the pressure vessel. This was chosen because they are very high pressure for their weight, and are designed to be bumped around.</p>
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<div class="layout-chunk" data-layout="l-body">
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<div class="layout-chunk" data-layout="l-body">
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<div class="sourceCode" id="cb2"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Tank https://www.amazon.com/Empire-Paintball-BASICS-Pressure-Compressed/dp/B07B6M48SR/</span></span>
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<div class="sourceCode" id="cb2"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Tank https://www.amazon.com/Empire-Paintball-BASICS-Pressure-Compressed/dp/B07B6M48SR/</span></span>
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<span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a>V <span class="op">=</span> (<span class="fl">85</span> ± <span class="fl">5</span>)u<span class="st">"inch^3"</span></span>
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<span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a>V <span class="op">=</span> (<span class="fl">85</span> ± <span class="fl">5</span>)u<span class="st">"inch^3"</span></span>
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<span id="cb2-3"><a href="#cb2-3" aria-hidden="true" tabindex="-1"></a>P0 <span class="op">=</span> (<span class="fl">4200.0</span> ± <span class="fl">300</span>)u<span class="st">"psi"</span></span>
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<span id="cb2-3"><a href="#cb2-3" aria-hidden="true" tabindex="-1"></a>P0 <span class="op">=</span> (<span class="fl">4200.0</span> ± <span class="fl">300</span>)u<span class="st">"psi"</span></span>
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<span id="cb2-4"><a href="#cb2-4" aria-hidden="true" tabindex="-1"></a>Wtank <span class="op">=</span> (<span class="fl">2.3</span> ± <span class="fl">0.2</span>)u<span class="st">"lb"</span></span>
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<span id="cb2-4"><a href="#cb2-4" aria-hidden="true" tabindex="-1"></a>Wtank <span class="op">=</span> (<span class="fl">2.3</span> ± <span class="fl">0.2</span>)u<span class="st">"lb"</span></span>
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<span id="cb2-5"><a href="#cb2-5" aria-hidden="true" tabindex="-1"></a>Pmax <span class="op">=</span> (<span class="fl">250</span> ± <span class="fl">50</span>)u<span class="st">"psi"</span> <span class="co"># Max Pressure that can come out the nozzle</span></span>
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<span id="cb2-5"><a href="#cb2-5" aria-hidden="true" tabindex="-1"></a>Pmax <span class="op">=</span> (<span class="fl">250</span> ± <span class="fl">50</span>)u<span class="st">"psi"</span> <span class="co"># Max Pressure that can come out the nozzle</span></span></code></pre></div>
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<span id="cb2-6"><a href="#cb2-6" aria-hidden="true" tabindex="-1"></a></span>
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</div>
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<span id="cb2-7"><a href="#cb2-7" aria-hidden="true" tabindex="-1"></a>Wsolenoid <span class="op">=</span> <span class="fl">1.5</span>u<span class="st">"kg"</span></span>
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<p>The nozzle diameter was changed until the air prop system had a <em>burn time</em> similar to a G18ST rocket motor.</p>
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<span id="cb2-8"><a href="#cb2-8" aria-hidden="true" tabindex="-1"></a></span>
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<div class="layout-chunk" data-layout="l-body">
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<span id="cb2-9"><a href="#cb2-9" aria-hidden="true" tabindex="-1"></a><span class="co"># Params</span></span>
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<div class="sourceCode" id="cb3"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Params</span></span>
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<span id="cb2-10"><a href="#cb2-10" aria-hidden="true" tabindex="-1"></a>d_nozzle <span class="op">=</span> ((<span class="fl">1</span> <span class="op">//</span> <span class="fl">18</span>) ± <span class="fl">0.001</span>)u<span class="st">"inch"</span></span>
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<span id="cb3-2"><a href="#cb3-2" aria-hidden="true" tabindex="-1"></a>d_nozzle <span class="op">=</span> ((<span class="fl">1</span> <span class="op">//</span> <span class="fl">18</span>) ± <span class="fl">0.001</span>)u<span class="st">"inch"</span></span>
|
||||||
<span id="cb2-11"><a href="#cb2-11" aria-hidden="true" tabindex="-1"></a>a_nozzle <span class="op">=</span> (<span class="cn">pi</span> <span class="op">/</span> <span class="fl">4</span>) <span class="op">*</span> d_nozzle<span class="op">^</span><span class="fl">2</span></span>
|
<span id="cb3-3"><a href="#cb3-3" aria-hidden="true" tabindex="-1"></a>a_nozzle <span class="op">=</span> (<span class="cn">pi</span> <span class="op">/</span> <span class="fl">4</span>) <span class="op">*</span> d_nozzle<span class="op">^</span><span class="fl">2</span></span></code></pre></div>
|
||||||
<span id="cb2-12"><a href="#cb2-12" aria-hidden="true" tabindex="-1"></a></span>
|
</div>
|
||||||
<span id="cb2-13"><a href="#cb2-13" aria-hidden="true" tabindex="-1"></a><span class="co"># Universal Stuff</span></span>
|
<p>These are just universal values for what a normal day would look like in Arizona. <span class="citation" data-cites="cengel_thermodynamics">(<a href="#ref-cengel_thermodynamics" role="doc-biblioref">Çengel and Boles 2015</a>)</span></p>
|
||||||
<span id="cb2-14"><a href="#cb2-14" aria-hidden="true" tabindex="-1"></a>P_amb <span class="op">=</span> (<span class="fl">1</span> ± <span class="fl">0.2</span>)u<span class="st">"atm"</span></span>
|
<div class="layout-chunk" data-layout="l-body">
|
||||||
<span id="cb2-15"><a href="#cb2-15" aria-hidden="true" tabindex="-1"></a>γ <span class="op">=</span> <span class="fl">1.4</span> ± <span class="fl">0.05</span></span>
|
<div class="sourceCode" id="cb4"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Universal Stuff</span></span>
|
||||||
<span id="cb2-16"><a href="#cb2-16" aria-hidden="true" tabindex="-1"></a>R <span class="op">=</span> <span class="fl">287.05</span>u<span class="st">"J/(kg * K)"</span></span>
|
<span id="cb4-2"><a href="#cb4-2" aria-hidden="true" tabindex="-1"></a>P_amb <span class="op">=</span> (<span class="fl">1</span> ± <span class="fl">0.2</span>)u<span class="st">"atm"</span></span>
|
||||||
<span id="cb2-17"><a href="#cb2-17" aria-hidden="true" tabindex="-1"></a>T <span class="op">=</span> (<span class="fl">300</span> ± <span class="fl">20</span>)u<span class="st">"K"</span></span></code></pre></div>
|
<span id="cb4-3"><a href="#cb4-3" aria-hidden="true" tabindex="-1"></a>γ <span class="op">=</span> <span class="fl">1.4</span> ± <span class="fl">0.05</span></span>
|
||||||
|
<span id="cb4-4"><a href="#cb4-4" aria-hidden="true" tabindex="-1"></a>R <span class="op">=</span> <span class="fl">287.05</span>u<span class="st">"J/(kg * K)"</span></span>
|
||||||
|
<span id="cb4-5"><a href="#cb4-5" aria-hidden="true" tabindex="-1"></a>T <span class="op">=</span> (<span class="fl">300</span> ± <span class="fl">20</span>)u<span class="st">"K"</span></span></code></pre></div>
|
||||||
</div>
|
</div>
|
||||||
<p>This is the actual simulation. Maybe throw some references in and explain some equations.</p>
|
<p>This is the actual simulation. Maybe throw some references in and explain some equations.</p>
|
||||||
<p>The rocket equation is pretty sick:</p>
|
<p>The following equations also came from <span class="citation" data-cites="cengel_thermodynamics">(<a href="#ref-cengel_thermodynamics" role="doc-biblioref">Çengel and Boles 2015</a>)</span></p>
|
||||||
<p><span class="math display">\[T = \dot{m} \cdot v_\text{Exit} + A_\text{Nozzle} \cdot (P - P_\text{Ambient}) \]</span> And thats about all you need to get to the moon<span class="citation" data-cites="curtis_orbital">(<a href="#ref-curtis_orbital" role="doc-biblioref">Curtis 2020</a>)</span>.</p>
|
<p>The rocket equation is pretty sick<span class="citation" data-cites="sutton_rocket_2001">(<a href="#ref-sutton_rocket_2001" role="doc-biblioref">Sutton and Biblarz 2001</a>, eq: 2-14)</span>:</p>
|
||||||
|
<p><span class="math display">\[T = \dot{m} \cdot v_\text{Exit} + A_\text{Nozzle} \cdot (P - P_\text{Ambient}) \]</span> And thats about all you need to get to the Moon<span class="citation" data-cites="curtis_orbital">(<a href="#ref-curtis_orbital" role="doc-biblioref">Curtis 2020</a>)</span>.</p>
|
||||||
<div class="layout-chunk" data-layout="l-body">
|
<div class="layout-chunk" data-layout="l-body">
|
||||||
<div class="sourceCode" id="cb3"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a><span class="kw">let</span></span>
|
<div class="sourceCode" id="cb5"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true" tabindex="-1"></a>df <span class="op">=</span> <span class="kw">let</span></span>
|
||||||
<span id="cb3-2"><a href="#cb3-2" aria-hidden="true" tabindex="-1"></a>t <span class="op">=</span> <span class="fl">0.0</span>u<span class="st">"s"</span></span>
|
<span id="cb5-2"><a href="#cb5-2" aria-hidden="true" tabindex="-1"></a>t <span class="op">=</span> <span class="fl">0.0</span>u<span class="st">"s"</span></span>
|
||||||
<span id="cb3-3"><a href="#cb3-3" aria-hidden="true" tabindex="-1"></a>P <span class="op">=</span> P0 <span class="op">|></span> u<span class="st">"Pa"</span></span>
|
<span id="cb5-3"><a href="#cb5-3" aria-hidden="true" tabindex="-1"></a>P <span class="op">=</span> P0 <span class="op">|></span> u<span class="st">"Pa"</span></span>
|
||||||
<span id="cb3-4"><a href="#cb3-4" aria-hidden="true" tabindex="-1"></a>M <span class="op">=</span> V <span class="op">*</span> (P <span class="op">/</span> (R <span class="op">*</span> T)) <span class="op">|></span> u<span class="st">"kg"</span></span>
|
<span id="cb5-4"><a href="#cb5-4" aria-hidden="true" tabindex="-1"></a>M <span class="op">=</span> V <span class="op">*</span> (P <span class="op">/</span> (R <span class="op">*</span> T)) <span class="op">|></span> u<span class="st">"kg"</span></span>
|
||||||
<span id="cb3-5"><a href="#cb3-5" aria-hidden="true" tabindex="-1"></a>ts <span class="op">=</span> <span class="fl">1</span>u<span class="st">"ms"</span></span>
|
<span id="cb5-5"><a href="#cb5-5" aria-hidden="true" tabindex="-1"></a>ts <span class="op">=</span> <span class="fl">1</span>u<span class="st">"ms"</span></span>
|
||||||
<span id="cb3-6"><a href="#cb3-6" aria-hidden="true" tabindex="-1"></a><span class="kw">global</span> df <span class="op">=</span> DataFrame(Thrust<span class="op">=</span>(<span class="fl">0</span> ± <span class="fl">0</span>)u<span class="st">"N"</span><span class="op">,</span> Pressure<span class="op">=</span>P0<span class="op">,</span> <span class="dt">Time</span><span class="op">=</span><span class="fl">0.0</span>u<span class="st">"s"</span><span class="op">,</span> Mass<span class="op">=</span>M)</span>
|
<span id="cb5-6"><a href="#cb5-6" aria-hidden="true" tabindex="-1"></a>df <span class="op">=</span> DataFrame(Thrust<span class="op">=</span>(<span class="fl">0</span> ± <span class="fl">0</span>)u<span class="st">"N"</span><span class="op">,</span> Pressure<span class="op">=</span>P0<span class="op">,</span> <span class="dt">Time</span><span class="op">=</span><span class="fl">0.0</span>u<span class="st">"s"</span><span class="op">,</span> Mass<span class="op">=</span>M)</span>
|
||||||
<span id="cb3-7"><a href="#cb3-7" aria-hidden="true" tabindex="-1"></a> <span class="kw">while</span> M <span class="op">></span> <span class="fl">0.005</span>u<span class="st">"kg"</span></span>
|
<span id="cb5-7"><a href="#cb5-7" aria-hidden="true" tabindex="-1"></a> <span class="kw">while</span> M <span class="op">></span> <span class="fl">0.005</span>u<span class="st">"kg"</span></span>
|
||||||
<span id="cb3-8"><a href="#cb3-8" aria-hidden="true" tabindex="-1"></a> <span class="co"># while t < 30u"s"</span></span>
|
<span id="cb5-8"><a href="#cb5-8" aria-hidden="true" tabindex="-1"></a> <span class="co"># while t < 30u"s"</span></span>
|
||||||
<span id="cb3-9"><a href="#cb3-9" aria-hidden="true" tabindex="-1"></a> <span class="co"># Calculate what is leaving tank</span></span>
|
<span id="cb5-9"><a href="#cb5-9" aria-hidden="true" tabindex="-1"></a> <span class="co"># Calculate what is leaving tank</span></span>
|
||||||
<span id="cb3-10"><a href="#cb3-10" aria-hidden="true" tabindex="-1"></a> P <span class="op">=</span> minimum([P<span class="op">,</span> Pmax])</span>
|
<span id="cb5-10"><a href="#cb5-10" aria-hidden="true" tabindex="-1"></a> P <span class="op">=</span> minimum([P<span class="op">,</span> Pmax])</span>
|
||||||
<span id="cb3-11"><a href="#cb3-11" aria-hidden="true" tabindex="-1"></a> ve <span class="op">=</span> sqrt((<span class="fl">2</span> <span class="op">*</span> γ <span class="op">/</span> (γ <span class="op">-</span> <span class="fl">1</span>)) <span class="op">*</span> R <span class="op">*</span> T <span class="op">*</span> (<span class="fl">1</span> <span class="op">-</span> P_amb <span class="op">/</span> P)<span class="op">^</span>((γ <span class="op">-</span> <span class="fl">1</span>) <span class="op">/</span> γ)) <span class="op">|></span> u<span class="st">"m/s"</span></span>
|
<span id="cb5-11"><a href="#cb5-11" aria-hidden="true" tabindex="-1"></a> ve <span class="op">=</span> sqrt((<span class="fl">2</span> <span class="op">*</span> γ <span class="op">/</span> (γ <span class="op">-</span> <span class="fl">1</span>)) <span class="op">*</span> R <span class="op">*</span> T <span class="op">*</span> (<span class="fl">1</span> <span class="op">-</span> P_amb <span class="op">/</span> P)<span class="op">^</span>((γ <span class="op">-</span> <span class="fl">1</span>) <span class="op">/</span> γ)) <span class="op">|></span> u<span class="st">"m/s"</span></span>
|
||||||
<span id="cb3-12"><a href="#cb3-12" aria-hidden="true" tabindex="-1"></a> ρ <span class="op">=</span> P <span class="op">/</span> (R <span class="op">*</span> T) <span class="op">|></span> u<span class="st">"kg/m^3"</span></span>
|
<span id="cb5-12"><a href="#cb5-12" aria-hidden="true" tabindex="-1"></a> ρ <span class="op">=</span> P <span class="op">/</span> (R <span class="op">*</span> T) <span class="op">|></span> u<span class="st">"kg/m^3"</span></span>
|
||||||
<span id="cb3-13"><a href="#cb3-13" aria-hidden="true" tabindex="-1"></a> ṁ <span class="op">=</span> ρ <span class="op">*</span> a_nozzle <span class="op">*</span> ve <span class="op">|></span> u<span class="st">"kg/s"</span></span>
|
<span id="cb5-13"><a href="#cb5-13" aria-hidden="true" tabindex="-1"></a> ṁ <span class="op">=</span> ρ <span class="op">*</span> a_nozzle <span class="op">*</span> ve <span class="op">|></span> u<span class="st">"kg/s"</span></span>
|
||||||
<span id="cb3-14"><a href="#cb3-14" aria-hidden="true" tabindex="-1"></a> </span>
|
<span id="cb5-14"><a href="#cb5-14" aria-hidden="true" tabindex="-1"></a> </span>
|
||||||
<span id="cb3-15"><a href="#cb3-15" aria-hidden="true" tabindex="-1"></a> Thrust <span class="op">=</span> ṁ <span class="op">*</span> ve <span class="op">+</span> a_nozzle <span class="op">*</span> (P <span class="op">-</span> P_amb) <span class="op">|></span> u<span class="st">"N"</span></span>
|
<span id="cb5-15"><a href="#cb5-15" aria-hidden="true" tabindex="-1"></a> Thrust <span class="op">=</span> ṁ <span class="op">*</span> ve <span class="op">+</span> a_nozzle <span class="op">*</span> (P <span class="op">-</span> P_amb) <span class="op">|></span> u<span class="st">"N"</span></span>
|
||||||
<span id="cb3-16"><a href="#cb3-16" aria-hidden="true" tabindex="-1"></a> </span>
|
<span id="cb5-16"><a href="#cb5-16" aria-hidden="true" tabindex="-1"></a> </span>
|
||||||
<span id="cb3-17"><a href="#cb3-17" aria-hidden="true" tabindex="-1"></a> <span class="co"># Calculate what is still in the tank</span></span>
|
<span id="cb5-17"><a href="#cb5-17" aria-hidden="true" tabindex="-1"></a> <span class="co"># Calculate what is still in the tank</span></span>
|
||||||
<span id="cb3-18"><a href="#cb3-18" aria-hidden="true" tabindex="-1"></a> M <span class="op">=</span> M <span class="op">-</span> ṁ <span class="op">*</span> ts <span class="op">|></span> u<span class="st">"kg"</span></span>
|
<span id="cb5-18"><a href="#cb5-18" aria-hidden="true" tabindex="-1"></a> M <span class="op">=</span> M <span class="op">-</span> ṁ <span class="op">*</span> ts <span class="op">|></span> u<span class="st">"kg"</span></span>
|
||||||
<span id="cb3-19"><a href="#cb3-19" aria-hidden="true" tabindex="-1"></a> P <span class="op">=</span> (M <span class="op">*</span> R <span class="op">*</span> T) <span class="op">/</span> V <span class="op">|></span> u<span class="st">"Pa"</span></span>
|
<span id="cb5-19"><a href="#cb5-19" aria-hidden="true" tabindex="-1"></a> P <span class="op">=</span> (M <span class="op">*</span> R <span class="op">*</span> T) <span class="op">/</span> V <span class="op">|></span> u<span class="st">"Pa"</span></span>
|
||||||
<span id="cb3-20"><a href="#cb3-20" aria-hidden="true" tabindex="-1"></a> t <span class="op">=</span> t <span class="op">+</span> ts</span>
|
<span id="cb5-20"><a href="#cb5-20" aria-hidden="true" tabindex="-1"></a> t <span class="op">=</span> t <span class="op">+</span> ts</span>
|
||||||
<span id="cb3-21"><a href="#cb3-21" aria-hidden="true" tabindex="-1"></a> </span>
|
<span id="cb5-21"><a href="#cb5-21" aria-hidden="true" tabindex="-1"></a> </span>
|
||||||
<span id="cb3-22"><a href="#cb3-22" aria-hidden="true" tabindex="-1"></a> df_step <span class="op">=</span> DataFrame(Thrust<span class="op">=</span>Thrust<span class="op">,</span> Pressure<span class="op">=</span>P<span class="op">,</span> <span class="dt">Time</span><span class="op">=</span>t<span class="op">,</span> Mass<span class="op">=</span>M)</span>
|
<span id="cb5-22"><a href="#cb5-22" aria-hidden="true" tabindex="-1"></a> df_step <span class="op">=</span> DataFrame(Thrust<span class="op">=</span>Thrust<span class="op">,</span> Pressure<span class="op">=</span>P<span class="op">,</span> <span class="dt">Time</span><span class="op">=</span>t<span class="op">,</span> Mass<span class="op">=</span>M)</span>
|
||||||
<span id="cb3-23"><a href="#cb3-23" aria-hidden="true" tabindex="-1"></a> <span class="cn">append</span><span class="op">!</span>(df<span class="op">,</span> df_step)</span>
|
<span id="cb5-23"><a href="#cb5-23" aria-hidden="true" tabindex="-1"></a> <span class="cn">append</span><span class="op">!</span>(df<span class="op">,</span> df_step)</span>
|
||||||
<span id="cb3-24"><a href="#cb3-24" aria-hidden="true" tabindex="-1"></a> <span class="kw">end</span></span>
|
<span id="cb5-24"><a href="#cb5-24" aria-hidden="true" tabindex="-1"></a> <span class="kw">end</span></span>
|
||||||
<span id="cb3-25"><a href="#cb3-25" aria-hidden="true" tabindex="-1"></a><span class="kw">end</span></span></code></pre></div>
|
<span id="cb5-25"><a href="#cb5-25" aria-hidden="true" tabindex="-1"></a> df</span>
|
||||||
|
<span id="cb5-26"><a href="#cb5-26" aria-hidden="true" tabindex="-1"></a><span class="kw">end</span></span></code></pre></div>
|
||||||
|
</div>
|
||||||
|
<p>breakdown of the data</p>
|
||||||
|
<div class="layout-chunk" data-layout="l-body">
|
||||||
|
"
|
||||||
|
<table class="\"data-frame\"">
|
||||||
|
<thead>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
variable
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
mean
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
min
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
median
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
max
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
nmissing
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
eltype
|
||||||
|
</th>
|
||||||
|
</tr>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Symbol
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Quantity
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Quantity
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Quantity
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Quantity
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Int64
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
DataType
|
||||||
|
</th>
|
||||||
|
</tr>
|
||||||
|
</thead>
|
||||||
|
<tbody>
|
||||||
|
<p>
|
||||||
|
4 rows × 7 columns
|
||||||
|
</p>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
1
|
||||||
|
</th>
|
||||||
|
<td>
|
||||||
|
Thrust
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
20.0±2.0 N
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.0±0.0 N
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
21.1±4.7 N
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
21.1±4.7 N
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
Quantity{Measurement{Float64}, 𝐋 𝐌 𝐓^-2, FreeUnits{(N,), 𝐋 𝐌 𝐓^-2, nothing}}
|
||||||
|
</td>
|
||||||
|
</tr>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
2
|
||||||
|
</th>
|
||||||
|
<td>
|
||||||
|
Pressure
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
2020.0±520.0 psi
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
40.0±160.0 psi
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
2010.0±570.0 psi
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
4200.0±300.0 psi
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
Quantity{Measurement{Float64}, 𝐌 𝐋^-1 𝐓^-2, FreeUnits{(psi,), 𝐌 𝐋^-1 𝐓^-2, nothing}}
|
||||||
|
</td>
|
||||||
|
</tr>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
3
|
||||||
|
</th>
|
||||||
|
<td>
|
||||||
|
Time
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
10.1515 s
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.0 s
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
10.1515 s
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
20.303 s
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
Quantity{Float64, 𝐓, FreeUnits{(s,), 𝐓, nothing}}
|
||||||
|
</td>
|
||||||
|
</tr>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
4
|
||||||
|
</th>
|
||||||
|
<td>
|
||||||
|
Mass
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.225±0.066 kg
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.005±0.018 kg
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.224±0.071 kg
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.468±0.053 kg
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
Quantity{Measurement{Float64}, 𝐌, FreeUnits{(kg,), 𝐌, nothing}}
|
||||||
|
</td>
|
||||||
|
</tr>
|
||||||
|
</tbody>
|
||||||
|
</table>
|
||||||
|
<p>"</p>
|
||||||
</div>
|
</div>
|
||||||
<p>Heres the results plotted. Notice the massive error once the tank starts running low.</p>
|
<p>Heres the results plotted. Notice the massive error once the tank starts running low.</p>
|
||||||
<div class="layout-chunk" data-layout="l-body">
|
<div class="layout-chunk" data-layout="l-body-outset">
|
||||||
<p><img src="air-propulsion-simulation_files/figure-html5/unnamed-chunk-4-J1.png" width="350" /></p>
|
<details>
|
||||||
|
<summary>
|
||||||
|
Show code
|
||||||
|
</summary>
|
||||||
|
<div class="sourceCode" id="cb6"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb6-1"><a href="#cb6-1" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb6-2"><a href="#cb6-2" aria-hidden="true" tabindex="-1"></a>thrust_values <span class="op">=</span> df.Thrust .<span class="op">|></span> ustrip .<span class="op">|></span> value<span class="op">;</span></span>
|
||||||
|
<span id="cb6-3"><a href="#cb6-3" aria-hidden="true" tabindex="-1"></a>thrust_uncertainties <span class="op">=</span> df.Thrust .<span class="op">|></span> ustrip .<span class="op">|></span> uncertainty<span class="op">;</span></span>
|
||||||
|
<span id="cb6-4"><a href="#cb6-4" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb6-5"><a href="#cb6-5" aria-hidden="true" tabindex="-1"></a>air <span class="op">=</span> DataFrame(Thrust<span class="op">=</span>thrust_values<span class="op">,</span> Uncertainty<span class="op">=</span>thrust_uncertainties<span class="op">,</span> <span class="dt">Time</span><span class="op">=</span>df.<span class="dt">Time</span> .<span class="op">|></span> u<span class="st">"s"</span> .<span class="op">|></span> ustrip)<span class="op">;</span></span>
|
||||||
|
<span id="cb6-6"><a href="#cb6-6" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb6-7"><a href="#cb6-7" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb6-8"><a href="#cb6-8" aria-hidden="true" tabindex="-1"></a>plot(df.<span class="dt">Time</span> .<span class="op">|></span> ustrip<span class="op">,</span> thrust_values<span class="op">,</span> </span>
|
||||||
|
<span id="cb6-9"><a href="#cb6-9" aria-hidden="true" tabindex="-1"></a> title<span class="op">=</span><span class="st">"Thrust Over Time"</span><span class="op">,</span> </span>
|
||||||
|
<span id="cb6-10"><a href="#cb6-10" aria-hidden="true" tabindex="-1"></a> ribbon<span class="op">=</span>(thrust_uncertainties<span class="op">,</span> thrust_uncertainties)<span class="op">,</span> </span>
|
||||||
|
<span id="cb6-11"><a href="#cb6-11" aria-hidden="true" tabindex="-1"></a> fillalpha<span class="op">=</span><span class="fl">.2</span><span class="op">,</span>label<span class="op">=</span><span class="st">"Thrust"</span><span class="op">,</span></span>
|
||||||
|
<span id="cb6-12"><a href="#cb6-12" aria-hidden="true" tabindex="-1"></a> xlabel<span class="op">=</span><span class="st">"Time (s)"</span><span class="op">,</span> </span>
|
||||||
|
<span id="cb6-13"><a href="#cb6-13" aria-hidden="true" tabindex="-1"></a> ylabel<span class="op">=</span><span class="st">"Thrust (N)"</span><span class="op">,</span></span>
|
||||||
|
<span id="cb6-14"><a href="#cb6-14" aria-hidden="true" tabindex="-1"></a> size <span class="op">=</span> (<span class="fl">1200</span><span class="op">,</span> <span class="fl">800</span>)<span class="op">,</span></span>
|
||||||
|
<span id="cb6-15"><a href="#cb6-15" aria-hidden="true" tabindex="-1"></a> )</span></code></pre></div>
|
||||||
|
</details>
|
||||||
|
<div class="figure"><span id="fig:unnamed-chunk-7"></span>
|
||||||
|
<img src="air-propulsion-simulation_files/figure-html5/unnamed-chunk-7-J1.png" alt="Air Proplsion Simulation" width="350" />
|
||||||
|
<p class="caption">
|
||||||
|
Figure 1: Air Proplsion Simulation
|
||||||
|
</p>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
<p>Here the air prop is plotted along with rocket motors that are being</p>
|
||||||
|
<div class="layout-chunk" data-layout="l-body-outset">
|
||||||
|
<details>
|
||||||
|
<summary>
|
||||||
|
Show code
|
||||||
|
</summary>
|
||||||
|
<div class="sourceCode" id="cb7"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb7-1"><a href="#cb7-1" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb7-2"><a href="#cb7-2" aria-hidden="true" tabindex="-1"></a>f10 <span class="op">=</span> CSV.<span class="cn">read</span>(<span class="st">"AeroTech_F10.csv"</span><span class="op">,</span> DataFrame)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-3"><a href="#cb7-3" aria-hidden="true" tabindex="-1"></a>f15 <span class="op">=</span> CSV.<span class="cn">read</span>(<span class="st">"Estes_F15.csv"</span><span class="op">,</span> DataFrame)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-4"><a href="#cb7-4" aria-hidden="true" tabindex="-1"></a>g8 <span class="op">=</span> CSV.<span class="cn">read</span>(<span class="st">"AeroTech_G8ST.csv"</span><span class="op">,</span> DataFrame)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-5"><a href="#cb7-5" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb7-6"><a href="#cb7-6" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb7-7"><a href="#cb7-7" aria-hidden="true" tabindex="-1"></a>plot(air.<span class="dt">Time</span><span class="op">,</span> air.Thrust<span class="op">,</span> label<span class="op">=</span><span class="st">"Air Propulsion"</span><span class="op">,</span> fillalpha<span class="op">=</span><span class="fl">.1</span><span class="op">,</span> legend<span class="op">=:</span>topleft<span class="op">,</span> size <span class="op">=</span> (<span class="fl">1200</span><span class="op">,</span> <span class="fl">800</span>))<span class="op">;</span></span>
|
||||||
|
<span id="cb7-8"><a href="#cb7-8" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb7-9"><a href="#cb7-9" aria-hidden="true" tabindex="-1"></a><span class="kw">for</span> (d<span class="op">,</span> l) <span class="kw">in</span> [(f10<span class="op">,</span> <span class="st">"F10"</span>)<span class="op">,</span> (f15<span class="op">,</span> <span class="st">"F15"</span>)<span class="op">,</span> (g8<span class="op">,</span> <span class="st">"G8ST"</span>)]</span>
|
||||||
|
<span id="cb7-10"><a href="#cb7-10" aria-hidden="true" tabindex="-1"></a> plot<span class="op">!</span>(d[<span class="op">!,</span><span class="st">"Time (s)"</span>]<span class="op">,</span> d[<span class="op">!,</span> <span class="st">"Thrust (N)"</span>]<span class="op">,</span> label<span class="op">=</span>l)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-11"><a href="#cb7-11" aria-hidden="true" tabindex="-1"></a><span class="kw">end</span></span>
|
||||||
|
<span id="cb7-12"><a href="#cb7-12" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb7-13"><a href="#cb7-13" aria-hidden="true" tabindex="-1"></a>title<span class="op">!</span>(<span class="st">"Propulsion Comparison"</span>)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-14"><a href="#cb7-14" aria-hidden="true" tabindex="-1"></a>xlabel<span class="op">!</span>(<span class="st">"Time (s)"</span>)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-15"><a href="#cb7-15" aria-hidden="true" tabindex="-1"></a>ylabel<span class="op">!</span>(<span class="st">"Thrust (N)"</span>)</span></code></pre></div>
|
||||||
|
</details>
|
||||||
|
<div class="figure"><span id="fig:unnamed-chunk-8"></span>
|
||||||
|
<img src="air-propulsion-simulation_files/figure-html5/unnamed-chunk-8-J1.png" alt="Rocket Motor Data: [@thrustcurve]" width="350" />
|
||||||
|
<p class="caption">
|
||||||
|
Figure 2: Rocket Motor Data: <span class="citation" data-cites="thrustcurve">(<a href="#ref-thrustcurve" role="doc-biblioref">Coker, n.d.</a>)</span>
|
||||||
|
</p>
|
||||||
|
</div>
|
||||||
</div>
|
</div>
|
||||||
<p>Big conclusion about things.</p>
|
<p>Big conclusion about things.</p>
|
||||||
<div class="sourceCode" id="cb4"><pre class="sourceCode r distill-force-highlighting-css"><code class="sourceCode r"></code></pre></div>
|
<div class="sourceCode" id="cb8"><pre class="sourceCode r distill-force-highlighting-css"><code class="sourceCode r"></code></pre></div>
|
||||||
<div id="refs" class="references csl-bib-body hanging-indent" role="doc-bibliography">
|
<div id="refs" class="references csl-bib-body hanging-indent" role="doc-bibliography">
|
||||||
|
<div id="ref-thrustcurve" class="csl-entry" role="doc-biblioentry">
|
||||||
|
Coker, John. n.d. <span>“Rocket <span>Motor</span> <span>Data</span>.”</span> <a href="https://www.thrustcurve.org/">https://www.thrustcurve.org/</a>.
|
||||||
|
</div>
|
||||||
<div id="ref-curtis_orbital" class="csl-entry" role="doc-biblioentry">
|
<div id="ref-curtis_orbital" class="csl-entry" role="doc-biblioentry">
|
||||||
Curtis, Howard D. 2020. <em>Orbital Mechanics for Engineering Students</em>. Fourth edition. Butterworth-Heinemann Publications.
|
Curtis, Howard D. 2020. <em>Orbital Mechanics for Engineering Students</em>. Fourth edition. Butterworth-Heinemann Publications.
|
||||||
</div>
|
</div>
|
||||||
|
<div id="ref-cengel_thermodynamics" class="csl-entry" role="doc-biblioentry">
|
||||||
|
Çengel, Yunus A., and Michael A. Boles. 2015. <em>Thermodynamics: An Engineering Approach</em>. Eighth edition. New York: McGraw-Hill Education.
|
||||||
|
</div>
|
||||||
|
<div id="ref-sutton_rocket_2001" class="csl-entry" role="doc-biblioentry">
|
||||||
|
Sutton, George P., and Oscar Biblarz. 2001. <em>Rocket Propulsion Elements</em>. 7th ed. New York: John Wiley & Sons.
|
||||||
|
</div>
|
||||||
</div>
|
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|
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{"title":"Air Propulsion Simulation","description":"Simulating the performace of an air propulsion system as an alternative to solid rocket motors.","authors":[{"author":"Anson Biggs","authorURL":"https://ansonbiggs.com","affiliation":" ","affiliationURL":"#","orcidID":""}],"publishedDate":"2021-04-01T00:00:00.000-07:00","citationText":"Biggs, 2021"}
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{"title":"Air Propulsion Simulation","description":"Simulating the performance of an air propulsion system as an alternative to solid rocket motors.","authors":[{"author":"Anson Biggs","authorURL":"https://ansonbiggs.com","affiliation":" ","affiliationURL":"#","orcidID":""}],"publishedDate":"2021-04-01T00:00:00.000-07:00","citationText":"Biggs, 2021"}
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<a href="../../index.html#category:Capstone" class="dt-tag">Capstone</a>
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<a href="../../index.html#category:Capstone" class="dt-tag">Capstone</a>
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<p><p>Simulating the performace of an air propulsion system as an alternative to solid rocket motors.</p></p>
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<p><p>Simulating the performance of an air propulsion system as an alternative to solid rocket motors.</p></p>
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<p>Boilerplate intro about why all of this was done</p>
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<p>For my team was tasked with designing a system capable of moving mining equipment and materials around the surface of the Moon using a propolsive landing. The system had to be tested on earth with something that was feasible for our team to build in 2 semesters. One of the first considerations my capstone advisor wanted was to test the feasibility of an air propulsion system instead of the obvious solution that of using solid rocket motors. This document is really just <em>napkin math</em> to determine if the system is even feasibly and is not mean’t to be a rigorous study of an air propulsion system which would easily keep a capstone team busy by itself.</p>
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<details>
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<details>
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<summary>
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<summary>
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@ -2118,69 +2117,305 @@ Show code
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<span id="cb1-5"><a href="#cb1-5" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Unitful</span>
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<span id="cb1-5"><a href="#cb1-5" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Unitful</span>
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<span id="cb1-6"><a href="#cb1-6" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> DataFrames</span>
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<span id="cb1-6"><a href="#cb1-6" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> DataFrames</span>
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<span id="cb1-7"><a href="#cb1-7" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Measurements</span>
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<span id="cb1-7"><a href="#cb1-7" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Measurements</span>
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||||||
<span id="cb1-8"><a href="#cb1-8" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Measurements<span class="op">:</span> value<span class="op">,</span> uncertainty</span></code></pre></div>
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<span id="cb1-8"><a href="#cb1-8" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> Measurements<span class="op">:</span> value<span class="op">,</span> uncertainty</span>
|
||||||
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<span id="cb1-9"><a href="#cb1-9" aria-hidden="true" tabindex="-1"></a><span class="kw">using</span> CSV</span></code></pre></div>
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</details>
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</details>
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<p>This code is just the setup, using values scraped from various parts of the world wide web.</p>
|
<p>An off the shelf paintball gun tank was used for the pressure vessel. This was chosen because they are very high pressure for their weight, and are designed to be bumped around.</p>
|
||||||
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<div class="layout-chunk" data-layout="l-body">
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||||||
<div class="sourceCode" id="cb2"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Tank https://www.amazon.com/Empire-Paintball-BASICS-Pressure-Compressed/dp/B07B6M48SR/</span></span>
|
<div class="sourceCode" id="cb2"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Tank https://www.amazon.com/Empire-Paintball-BASICS-Pressure-Compressed/dp/B07B6M48SR/</span></span>
|
||||||
<span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a>V <span class="op">=</span> (<span class="fl">85</span> ± <span class="fl">5</span>)u<span class="st">"inch^3"</span></span>
|
<span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a>V <span class="op">=</span> (<span class="fl">85</span> ± <span class="fl">5</span>)u<span class="st">"inch^3"</span></span>
|
||||||
<span id="cb2-3"><a href="#cb2-3" aria-hidden="true" tabindex="-1"></a>P0 <span class="op">=</span> (<span class="fl">4200.0</span> ± <span class="fl">300</span>)u<span class="st">"psi"</span></span>
|
<span id="cb2-3"><a href="#cb2-3" aria-hidden="true" tabindex="-1"></a>P0 <span class="op">=</span> (<span class="fl">4200.0</span> ± <span class="fl">300</span>)u<span class="st">"psi"</span></span>
|
||||||
<span id="cb2-4"><a href="#cb2-4" aria-hidden="true" tabindex="-1"></a>Wtank <span class="op">=</span> (<span class="fl">2.3</span> ± <span class="fl">0.2</span>)u<span class="st">"lb"</span></span>
|
<span id="cb2-4"><a href="#cb2-4" aria-hidden="true" tabindex="-1"></a>Wtank <span class="op">=</span> (<span class="fl">2.3</span> ± <span class="fl">0.2</span>)u<span class="st">"lb"</span></span>
|
||||||
<span id="cb2-5"><a href="#cb2-5" aria-hidden="true" tabindex="-1"></a>Pmax <span class="op">=</span> (<span class="fl">250</span> ± <span class="fl">50</span>)u<span class="st">"psi"</span> <span class="co"># Max Pressure that can come out the nozzle</span></span>
|
<span id="cb2-5"><a href="#cb2-5" aria-hidden="true" tabindex="-1"></a>Pmax <span class="op">=</span> (<span class="fl">250</span> ± <span class="fl">50</span>)u<span class="st">"psi"</span> <span class="co"># Max Pressure that can come out the nozzle</span></span></code></pre></div>
|
||||||
<span id="cb2-6"><a href="#cb2-6" aria-hidden="true" tabindex="-1"></a></span>
|
</div>
|
||||||
<span id="cb2-7"><a href="#cb2-7" aria-hidden="true" tabindex="-1"></a>Wsolenoid <span class="op">=</span> <span class="fl">1.5</span>u<span class="st">"kg"</span></span>
|
<p>The nozzle diameter was changed until the air prop system had a <em>burn time</em> similar to a G18ST rocket motor.</p>
|
||||||
<span id="cb2-8"><a href="#cb2-8" aria-hidden="true" tabindex="-1"></a></span>
|
<div class="layout-chunk" data-layout="l-body">
|
||||||
<span id="cb2-9"><a href="#cb2-9" aria-hidden="true" tabindex="-1"></a><span class="co"># Params</span></span>
|
<div class="sourceCode" id="cb3"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Params</span></span>
|
||||||
<span id="cb2-10"><a href="#cb2-10" aria-hidden="true" tabindex="-1"></a>d_nozzle <span class="op">=</span> ((<span class="fl">1</span> <span class="op">//</span> <span class="fl">18</span>) ± <span class="fl">0.001</span>)u<span class="st">"inch"</span></span>
|
<span id="cb3-2"><a href="#cb3-2" aria-hidden="true" tabindex="-1"></a>d_nozzle <span class="op">=</span> ((<span class="fl">1</span> <span class="op">//</span> <span class="fl">18</span>) ± <span class="fl">0.001</span>)u<span class="st">"inch"</span></span>
|
||||||
<span id="cb2-11"><a href="#cb2-11" aria-hidden="true" tabindex="-1"></a>a_nozzle <span class="op">=</span> (<span class="cn">pi</span> <span class="op">/</span> <span class="fl">4</span>) <span class="op">*</span> d_nozzle<span class="op">^</span><span class="fl">2</span></span>
|
<span id="cb3-3"><a href="#cb3-3" aria-hidden="true" tabindex="-1"></a>a_nozzle <span class="op">=</span> (<span class="cn">pi</span> <span class="op">/</span> <span class="fl">4</span>) <span class="op">*</span> d_nozzle<span class="op">^</span><span class="fl">2</span></span></code></pre></div>
|
||||||
<span id="cb2-12"><a href="#cb2-12" aria-hidden="true" tabindex="-1"></a></span>
|
</div>
|
||||||
<span id="cb2-13"><a href="#cb2-13" aria-hidden="true" tabindex="-1"></a><span class="co"># Universal Stuff</span></span>
|
<p>These are just universal values for what a normal day would look like in Arizona. <span class="citation" data-cites="cengel_thermodynamics">(<a href="#ref-cengel_thermodynamics" role="doc-biblioref">Çengel and Boles 2015</a>)</span></p>
|
||||||
<span id="cb2-14"><a href="#cb2-14" aria-hidden="true" tabindex="-1"></a>P_amb <span class="op">=</span> (<span class="fl">1</span> ± <span class="fl">0.2</span>)u<span class="st">"atm"</span></span>
|
<div class="layout-chunk" data-layout="l-body">
|
||||||
<span id="cb2-15"><a href="#cb2-15" aria-hidden="true" tabindex="-1"></a>γ <span class="op">=</span> <span class="fl">1.4</span> ± <span class="fl">0.05</span></span>
|
<div class="sourceCode" id="cb4"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Universal Stuff</span></span>
|
||||||
<span id="cb2-16"><a href="#cb2-16" aria-hidden="true" tabindex="-1"></a>R <span class="op">=</span> <span class="fl">287.05</span>u<span class="st">"J/(kg * K)"</span></span>
|
<span id="cb4-2"><a href="#cb4-2" aria-hidden="true" tabindex="-1"></a>P_amb <span class="op">=</span> (<span class="fl">1</span> ± <span class="fl">0.2</span>)u<span class="st">"atm"</span></span>
|
||||||
<span id="cb2-17"><a href="#cb2-17" aria-hidden="true" tabindex="-1"></a>T <span class="op">=</span> (<span class="fl">300</span> ± <span class="fl">20</span>)u<span class="st">"K"</span></span></code></pre></div>
|
<span id="cb4-3"><a href="#cb4-3" aria-hidden="true" tabindex="-1"></a>γ <span class="op">=</span> <span class="fl">1.4</span> ± <span class="fl">0.05</span></span>
|
||||||
|
<span id="cb4-4"><a href="#cb4-4" aria-hidden="true" tabindex="-1"></a>R <span class="op">=</span> <span class="fl">287.05</span>u<span class="st">"J/(kg * K)"</span></span>
|
||||||
|
<span id="cb4-5"><a href="#cb4-5" aria-hidden="true" tabindex="-1"></a>T <span class="op">=</span> (<span class="fl">300</span> ± <span class="fl">20</span>)u<span class="st">"K"</span></span></code></pre></div>
|
||||||
</div>
|
</div>
|
||||||
<p>This is the actual simulation. Maybe throw some references in and explain some equations.</p>
|
<p>This is the actual simulation. Maybe throw some references in and explain some equations.</p>
|
||||||
<p>The rocket equation is pretty sick:</p>
|
<p>The following equations also came from <span class="citation" data-cites="cengel_thermodynamics">(<a href="#ref-cengel_thermodynamics" role="doc-biblioref">Çengel and Boles 2015</a>)</span></p>
|
||||||
<p><span class="math display">\[T = \dot{m} \cdot v_\text{Exit} + A_\text{Nozzle} \cdot (P - P_\text{Ambient}) \]</span> And thats about all you need to get to the moon<span class="citation" data-cites="curtis_orbital">(<a href="#ref-curtis_orbital" role="doc-biblioref">Curtis 2020</a>)</span>.</p>
|
<p>The rocket equation is pretty sick<span class="citation" data-cites="sutton_rocket_2001">(<a href="#ref-sutton_rocket_2001" role="doc-biblioref">Sutton and Biblarz 2001</a>, eq: 2-14)</span>:</p>
|
||||||
|
<p><span class="math display">\[T = \dot{m} \cdot v_\text{Exit} + A_\text{Nozzle} \cdot (P - P_\text{Ambient}) \]</span> And thats about all you need to get to the Moon<span class="citation" data-cites="curtis_orbital">(<a href="#ref-curtis_orbital" role="doc-biblioref">Curtis 2020</a>)</span>.</p>
|
||||||
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|
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|
||||||
<div class="sourceCode" id="cb3"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a><span class="kw">let</span></span>
|
<div class="sourceCode" id="cb5"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true" tabindex="-1"></a>df <span class="op">=</span> <span class="kw">let</span></span>
|
||||||
<span id="cb3-2"><a href="#cb3-2" aria-hidden="true" tabindex="-1"></a>t <span class="op">=</span> <span class="fl">0.0</span>u<span class="st">"s"</span></span>
|
<span id="cb5-2"><a href="#cb5-2" aria-hidden="true" tabindex="-1"></a>t <span class="op">=</span> <span class="fl">0.0</span>u<span class="st">"s"</span></span>
|
||||||
<span id="cb3-3"><a href="#cb3-3" aria-hidden="true" tabindex="-1"></a>P <span class="op">=</span> P0 <span class="op">|></span> u<span class="st">"Pa"</span></span>
|
<span id="cb5-3"><a href="#cb5-3" aria-hidden="true" tabindex="-1"></a>P <span class="op">=</span> P0 <span class="op">|></span> u<span class="st">"Pa"</span></span>
|
||||||
<span id="cb3-4"><a href="#cb3-4" aria-hidden="true" tabindex="-1"></a>M <span class="op">=</span> V <span class="op">*</span> (P <span class="op">/</span> (R <span class="op">*</span> T)) <span class="op">|></span> u<span class="st">"kg"</span></span>
|
<span id="cb5-4"><a href="#cb5-4" aria-hidden="true" tabindex="-1"></a>M <span class="op">=</span> V <span class="op">*</span> (P <span class="op">/</span> (R <span class="op">*</span> T)) <span class="op">|></span> u<span class="st">"kg"</span></span>
|
||||||
<span id="cb3-5"><a href="#cb3-5" aria-hidden="true" tabindex="-1"></a>ts <span class="op">=</span> <span class="fl">1</span>u<span class="st">"ms"</span></span>
|
<span id="cb5-5"><a href="#cb5-5" aria-hidden="true" tabindex="-1"></a>ts <span class="op">=</span> <span class="fl">1</span>u<span class="st">"ms"</span></span>
|
||||||
<span id="cb3-6"><a href="#cb3-6" aria-hidden="true" tabindex="-1"></a><span class="kw">global</span> df <span class="op">=</span> DataFrame(Thrust<span class="op">=</span>(<span class="fl">0</span> ± <span class="fl">0</span>)u<span class="st">"N"</span><span class="op">,</span> Pressure<span class="op">=</span>P0<span class="op">,</span> <span class="dt">Time</span><span class="op">=</span><span class="fl">0.0</span>u<span class="st">"s"</span><span class="op">,</span> Mass<span class="op">=</span>M)</span>
|
<span id="cb5-6"><a href="#cb5-6" aria-hidden="true" tabindex="-1"></a>df <span class="op">=</span> DataFrame(Thrust<span class="op">=</span>(<span class="fl">0</span> ± <span class="fl">0</span>)u<span class="st">"N"</span><span class="op">,</span> Pressure<span class="op">=</span>P0<span class="op">,</span> <span class="dt">Time</span><span class="op">=</span><span class="fl">0.0</span>u<span class="st">"s"</span><span class="op">,</span> Mass<span class="op">=</span>M)</span>
|
||||||
<span id="cb3-7"><a href="#cb3-7" aria-hidden="true" tabindex="-1"></a> <span class="kw">while</span> M <span class="op">></span> <span class="fl">0.005</span>u<span class="st">"kg"</span></span>
|
<span id="cb5-7"><a href="#cb5-7" aria-hidden="true" tabindex="-1"></a> <span class="kw">while</span> M <span class="op">></span> <span class="fl">0.005</span>u<span class="st">"kg"</span></span>
|
||||||
<span id="cb3-8"><a href="#cb3-8" aria-hidden="true" tabindex="-1"></a> <span class="co"># while t < 30u"s"</span></span>
|
<span id="cb5-8"><a href="#cb5-8" aria-hidden="true" tabindex="-1"></a> <span class="co"># while t < 30u"s"</span></span>
|
||||||
<span id="cb3-9"><a href="#cb3-9" aria-hidden="true" tabindex="-1"></a> <span class="co"># Calculate what is leaving tank</span></span>
|
<span id="cb5-9"><a href="#cb5-9" aria-hidden="true" tabindex="-1"></a> <span class="co"># Calculate what is leaving tank</span></span>
|
||||||
<span id="cb3-10"><a href="#cb3-10" aria-hidden="true" tabindex="-1"></a> P <span class="op">=</span> minimum([P<span class="op">,</span> Pmax])</span>
|
<span id="cb5-10"><a href="#cb5-10" aria-hidden="true" tabindex="-1"></a> P <span class="op">=</span> minimum([P<span class="op">,</span> Pmax])</span>
|
||||||
<span id="cb3-11"><a href="#cb3-11" aria-hidden="true" tabindex="-1"></a> ve <span class="op">=</span> sqrt((<span class="fl">2</span> <span class="op">*</span> γ <span class="op">/</span> (γ <span class="op">-</span> <span class="fl">1</span>)) <span class="op">*</span> R <span class="op">*</span> T <span class="op">*</span> (<span class="fl">1</span> <span class="op">-</span> P_amb <span class="op">/</span> P)<span class="op">^</span>((γ <span class="op">-</span> <span class="fl">1</span>) <span class="op">/</span> γ)) <span class="op">|></span> u<span class="st">"m/s"</span></span>
|
<span id="cb5-11"><a href="#cb5-11" aria-hidden="true" tabindex="-1"></a> ve <span class="op">=</span> sqrt((<span class="fl">2</span> <span class="op">*</span> γ <span class="op">/</span> (γ <span class="op">-</span> <span class="fl">1</span>)) <span class="op">*</span> R <span class="op">*</span> T <span class="op">*</span> (<span class="fl">1</span> <span class="op">-</span> P_amb <span class="op">/</span> P)<span class="op">^</span>((γ <span class="op">-</span> <span class="fl">1</span>) <span class="op">/</span> γ)) <span class="op">|></span> u<span class="st">"m/s"</span></span>
|
||||||
<span id="cb3-12"><a href="#cb3-12" aria-hidden="true" tabindex="-1"></a> ρ <span class="op">=</span> P <span class="op">/</span> (R <span class="op">*</span> T) <span class="op">|></span> u<span class="st">"kg/m^3"</span></span>
|
<span id="cb5-12"><a href="#cb5-12" aria-hidden="true" tabindex="-1"></a> ρ <span class="op">=</span> P <span class="op">/</span> (R <span class="op">*</span> T) <span class="op">|></span> u<span class="st">"kg/m^3"</span></span>
|
||||||
<span id="cb3-13"><a href="#cb3-13" aria-hidden="true" tabindex="-1"></a> ṁ <span class="op">=</span> ρ <span class="op">*</span> a_nozzle <span class="op">*</span> ve <span class="op">|></span> u<span class="st">"kg/s"</span></span>
|
<span id="cb5-13"><a href="#cb5-13" aria-hidden="true" tabindex="-1"></a> ṁ <span class="op">=</span> ρ <span class="op">*</span> a_nozzle <span class="op">*</span> ve <span class="op">|></span> u<span class="st">"kg/s"</span></span>
|
||||||
<span id="cb3-14"><a href="#cb3-14" aria-hidden="true" tabindex="-1"></a> </span>
|
<span id="cb5-14"><a href="#cb5-14" aria-hidden="true" tabindex="-1"></a> </span>
|
||||||
<span id="cb3-15"><a href="#cb3-15" aria-hidden="true" tabindex="-1"></a> Thrust <span class="op">=</span> ṁ <span class="op">*</span> ve <span class="op">+</span> a_nozzle <span class="op">*</span> (P <span class="op">-</span> P_amb) <span class="op">|></span> u<span class="st">"N"</span></span>
|
<span id="cb5-15"><a href="#cb5-15" aria-hidden="true" tabindex="-1"></a> Thrust <span class="op">=</span> ṁ <span class="op">*</span> ve <span class="op">+</span> a_nozzle <span class="op">*</span> (P <span class="op">-</span> P_amb) <span class="op">|></span> u<span class="st">"N"</span></span>
|
||||||
<span id="cb3-16"><a href="#cb3-16" aria-hidden="true" tabindex="-1"></a> </span>
|
<span id="cb5-16"><a href="#cb5-16" aria-hidden="true" tabindex="-1"></a> </span>
|
||||||
<span id="cb3-17"><a href="#cb3-17" aria-hidden="true" tabindex="-1"></a> <span class="co"># Calculate what is still in the tank</span></span>
|
<span id="cb5-17"><a href="#cb5-17" aria-hidden="true" tabindex="-1"></a> <span class="co"># Calculate what is still in the tank</span></span>
|
||||||
<span id="cb3-18"><a href="#cb3-18" aria-hidden="true" tabindex="-1"></a> M <span class="op">=</span> M <span class="op">-</span> ṁ <span class="op">*</span> ts <span class="op">|></span> u<span class="st">"kg"</span></span>
|
<span id="cb5-18"><a href="#cb5-18" aria-hidden="true" tabindex="-1"></a> M <span class="op">=</span> M <span class="op">-</span> ṁ <span class="op">*</span> ts <span class="op">|></span> u<span class="st">"kg"</span></span>
|
||||||
<span id="cb3-19"><a href="#cb3-19" aria-hidden="true" tabindex="-1"></a> P <span class="op">=</span> (M <span class="op">*</span> R <span class="op">*</span> T) <span class="op">/</span> V <span class="op">|></span> u<span class="st">"Pa"</span></span>
|
<span id="cb5-19"><a href="#cb5-19" aria-hidden="true" tabindex="-1"></a> P <span class="op">=</span> (M <span class="op">*</span> R <span class="op">*</span> T) <span class="op">/</span> V <span class="op">|></span> u<span class="st">"Pa"</span></span>
|
||||||
<span id="cb3-20"><a href="#cb3-20" aria-hidden="true" tabindex="-1"></a> t <span class="op">=</span> t <span class="op">+</span> ts</span>
|
<span id="cb5-20"><a href="#cb5-20" aria-hidden="true" tabindex="-1"></a> t <span class="op">=</span> t <span class="op">+</span> ts</span>
|
||||||
<span id="cb3-21"><a href="#cb3-21" aria-hidden="true" tabindex="-1"></a> </span>
|
<span id="cb5-21"><a href="#cb5-21" aria-hidden="true" tabindex="-1"></a> </span>
|
||||||
<span id="cb3-22"><a href="#cb3-22" aria-hidden="true" tabindex="-1"></a> df_step <span class="op">=</span> DataFrame(Thrust<span class="op">=</span>Thrust<span class="op">,</span> Pressure<span class="op">=</span>P<span class="op">,</span> <span class="dt">Time</span><span class="op">=</span>t<span class="op">,</span> Mass<span class="op">=</span>M)</span>
|
<span id="cb5-22"><a href="#cb5-22" aria-hidden="true" tabindex="-1"></a> df_step <span class="op">=</span> DataFrame(Thrust<span class="op">=</span>Thrust<span class="op">,</span> Pressure<span class="op">=</span>P<span class="op">,</span> <span class="dt">Time</span><span class="op">=</span>t<span class="op">,</span> Mass<span class="op">=</span>M)</span>
|
||||||
<span id="cb3-23"><a href="#cb3-23" aria-hidden="true" tabindex="-1"></a> <span class="cn">append</span><span class="op">!</span>(df<span class="op">,</span> df_step)</span>
|
<span id="cb5-23"><a href="#cb5-23" aria-hidden="true" tabindex="-1"></a> <span class="cn">append</span><span class="op">!</span>(df<span class="op">,</span> df_step)</span>
|
||||||
<span id="cb3-24"><a href="#cb3-24" aria-hidden="true" tabindex="-1"></a> <span class="kw">end</span></span>
|
<span id="cb5-24"><a href="#cb5-24" aria-hidden="true" tabindex="-1"></a> <span class="kw">end</span></span>
|
||||||
<span id="cb3-25"><a href="#cb3-25" aria-hidden="true" tabindex="-1"></a><span class="kw">end</span></span></code></pre></div>
|
<span id="cb5-25"><a href="#cb5-25" aria-hidden="true" tabindex="-1"></a> df</span>
|
||||||
|
<span id="cb5-26"><a href="#cb5-26" aria-hidden="true" tabindex="-1"></a><span class="kw">end</span></span></code></pre></div>
|
||||||
|
</div>
|
||||||
|
<p>breakdown of the data</p>
|
||||||
|
<div class="layout-chunk" data-layout="l-body">
|
||||||
|
"
|
||||||
|
<table class="\"data-frame\"">
|
||||||
|
<thead>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
variable
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
mean
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
min
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
median
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
max
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
nmissing
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
eltype
|
||||||
|
</th>
|
||||||
|
</tr>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Symbol
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Quantity
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Quantity
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Quantity
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Quantity
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
Int64
|
||||||
|
</th>
|
||||||
|
<th>
|
||||||
|
DataType
|
||||||
|
</th>
|
||||||
|
</tr>
|
||||||
|
</thead>
|
||||||
|
<tbody>
|
||||||
|
<p>
|
||||||
|
4 rows × 7 columns
|
||||||
|
</p>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
1
|
||||||
|
</th>
|
||||||
|
<td>
|
||||||
|
Thrust
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
20.0±2.0 N
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.0±0.0 N
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
21.1±4.7 N
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
21.1±4.7 N
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
Quantity{Measurement{Float64}, 𝐋 𝐌 𝐓^-2, FreeUnits{(N,), 𝐋 𝐌 𝐓^-2, nothing}}
|
||||||
|
</td>
|
||||||
|
</tr>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
2
|
||||||
|
</th>
|
||||||
|
<td>
|
||||||
|
Pressure
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
2020.0±520.0 psi
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
40.0±160.0 psi
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
2010.0±570.0 psi
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
4200.0±300.0 psi
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
Quantity{Measurement{Float64}, 𝐌 𝐋^-1 𝐓^-2, FreeUnits{(psi,), 𝐌 𝐋^-1 𝐓^-2, nothing}}
|
||||||
|
</td>
|
||||||
|
</tr>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
3
|
||||||
|
</th>
|
||||||
|
<td>
|
||||||
|
Time
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
10.1515 s
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.0 s
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
10.1515 s
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
20.303 s
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
Quantity{Float64, 𝐓, FreeUnits{(s,), 𝐓, nothing}}
|
||||||
|
</td>
|
||||||
|
</tr>
|
||||||
|
<tr>
|
||||||
|
<th>
|
||||||
|
4
|
||||||
|
</th>
|
||||||
|
<td>
|
||||||
|
Mass
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.225±0.066 kg
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.005±0.018 kg
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.224±0.071 kg
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0.468±0.053 kg
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
0
|
||||||
|
</td>
|
||||||
|
<td>
|
||||||
|
Quantity{Measurement{Float64}, 𝐌, FreeUnits{(kg,), 𝐌, nothing}}
|
||||||
|
</td>
|
||||||
|
</tr>
|
||||||
|
</tbody>
|
||||||
|
</table>
|
||||||
|
<p>"</p>
|
||||||
</div>
|
</div>
|
||||||
<p>Heres the results plotted. Notice the massive error once the tank starts running low.</p>
|
<p>Heres the results plotted. Notice the massive error once the tank starts running low.</p>
|
||||||
<div class="layout-chunk" data-layout="l-body">
|
<div class="layout-chunk" data-layout="l-body-outset">
|
||||||
<p><img src="air-propulsion-simulation_files/figure-html5/unnamed-chunk-4-J1.png" width="350" /></p>
|
<details>
|
||||||
|
<summary>
|
||||||
|
Show code
|
||||||
|
</summary>
|
||||||
|
<div class="sourceCode" id="cb6"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb6-1"><a href="#cb6-1" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb6-2"><a href="#cb6-2" aria-hidden="true" tabindex="-1"></a>thrust_values <span class="op">=</span> df.Thrust .<span class="op">|></span> ustrip .<span class="op">|></span> value<span class="op">;</span></span>
|
||||||
|
<span id="cb6-3"><a href="#cb6-3" aria-hidden="true" tabindex="-1"></a>thrust_uncertainties <span class="op">=</span> df.Thrust .<span class="op">|></span> ustrip .<span class="op">|></span> uncertainty<span class="op">;</span></span>
|
||||||
|
<span id="cb6-4"><a href="#cb6-4" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb6-5"><a href="#cb6-5" aria-hidden="true" tabindex="-1"></a>air <span class="op">=</span> DataFrame(Thrust<span class="op">=</span>thrust_values<span class="op">,</span> Uncertainty<span class="op">=</span>thrust_uncertainties<span class="op">,</span> <span class="dt">Time</span><span class="op">=</span>df.<span class="dt">Time</span> .<span class="op">|></span> u<span class="st">"s"</span> .<span class="op">|></span> ustrip)<span class="op">;</span></span>
|
||||||
|
<span id="cb6-6"><a href="#cb6-6" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb6-7"><a href="#cb6-7" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb6-8"><a href="#cb6-8" aria-hidden="true" tabindex="-1"></a>plot(df.<span class="dt">Time</span> .<span class="op">|></span> ustrip<span class="op">,</span> thrust_values<span class="op">,</span> </span>
|
||||||
|
<span id="cb6-9"><a href="#cb6-9" aria-hidden="true" tabindex="-1"></a> title<span class="op">=</span><span class="st">"Thrust Over Time"</span><span class="op">,</span> </span>
|
||||||
|
<span id="cb6-10"><a href="#cb6-10" aria-hidden="true" tabindex="-1"></a> ribbon<span class="op">=</span>(thrust_uncertainties<span class="op">,</span> thrust_uncertainties)<span class="op">,</span> </span>
|
||||||
|
<span id="cb6-11"><a href="#cb6-11" aria-hidden="true" tabindex="-1"></a> fillalpha<span class="op">=</span><span class="fl">.2</span><span class="op">,</span>label<span class="op">=</span><span class="st">"Thrust"</span><span class="op">,</span></span>
|
||||||
|
<span id="cb6-12"><a href="#cb6-12" aria-hidden="true" tabindex="-1"></a> xlabel<span class="op">=</span><span class="st">"Time (s)"</span><span class="op">,</span> </span>
|
||||||
|
<span id="cb6-13"><a href="#cb6-13" aria-hidden="true" tabindex="-1"></a> ylabel<span class="op">=</span><span class="st">"Thrust (N)"</span><span class="op">,</span></span>
|
||||||
|
<span id="cb6-14"><a href="#cb6-14" aria-hidden="true" tabindex="-1"></a> size <span class="op">=</span> (<span class="fl">1200</span><span class="op">,</span> <span class="fl">800</span>)<span class="op">,</span></span>
|
||||||
|
<span id="cb6-15"><a href="#cb6-15" aria-hidden="true" tabindex="-1"></a> )</span></code></pre></div>
|
||||||
|
</details>
|
||||||
|
<div class="figure"><span id="fig:unnamed-chunk-7"></span>
|
||||||
|
<img src="air-propulsion-simulation_files/figure-html5/unnamed-chunk-7-J1.png" alt="Air Proplsion Simulation" width="350" />
|
||||||
|
<p class="caption">
|
||||||
|
Figure 1: Air Proplsion Simulation
|
||||||
|
</p>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
<p>Here the air prop is plotted along with rocket motors that are being</p>
|
||||||
|
<div class="layout-chunk" data-layout="l-body-outset">
|
||||||
|
<details>
|
||||||
|
<summary>
|
||||||
|
Show code
|
||||||
|
</summary>
|
||||||
|
<div class="sourceCode" id="cb7"><pre class="sourceCode julia"><code class="sourceCode julia"><span id="cb7-1"><a href="#cb7-1" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb7-2"><a href="#cb7-2" aria-hidden="true" tabindex="-1"></a>f10 <span class="op">=</span> CSV.<span class="cn">read</span>(<span class="st">"AeroTech_F10.csv"</span><span class="op">,</span> DataFrame)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-3"><a href="#cb7-3" aria-hidden="true" tabindex="-1"></a>f15 <span class="op">=</span> CSV.<span class="cn">read</span>(<span class="st">"Estes_F15.csv"</span><span class="op">,</span> DataFrame)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-4"><a href="#cb7-4" aria-hidden="true" tabindex="-1"></a>g8 <span class="op">=</span> CSV.<span class="cn">read</span>(<span class="st">"AeroTech_G8ST.csv"</span><span class="op">,</span> DataFrame)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-5"><a href="#cb7-5" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb7-6"><a href="#cb7-6" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb7-7"><a href="#cb7-7" aria-hidden="true" tabindex="-1"></a>plot(air.<span class="dt">Time</span><span class="op">,</span> air.Thrust<span class="op">,</span> label<span class="op">=</span><span class="st">"Air Propulsion"</span><span class="op">,</span> fillalpha<span class="op">=</span><span class="fl">.1</span><span class="op">,</span> legend<span class="op">=:</span>topleft<span class="op">,</span> size <span class="op">=</span> (<span class="fl">1200</span><span class="op">,</span> <span class="fl">800</span>))<span class="op">;</span></span>
|
||||||
|
<span id="cb7-8"><a href="#cb7-8" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb7-9"><a href="#cb7-9" aria-hidden="true" tabindex="-1"></a><span class="kw">for</span> (d<span class="op">,</span> l) <span class="kw">in</span> [(f10<span class="op">,</span> <span class="st">"F10"</span>)<span class="op">,</span> (f15<span class="op">,</span> <span class="st">"F15"</span>)<span class="op">,</span> (g8<span class="op">,</span> <span class="st">"G8ST"</span>)]</span>
|
||||||
|
<span id="cb7-10"><a href="#cb7-10" aria-hidden="true" tabindex="-1"></a> plot<span class="op">!</span>(d[<span class="op">!,</span><span class="st">"Time (s)"</span>]<span class="op">,</span> d[<span class="op">!,</span> <span class="st">"Thrust (N)"</span>]<span class="op">,</span> label<span class="op">=</span>l)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-11"><a href="#cb7-11" aria-hidden="true" tabindex="-1"></a><span class="kw">end</span></span>
|
||||||
|
<span id="cb7-12"><a href="#cb7-12" aria-hidden="true" tabindex="-1"></a></span>
|
||||||
|
<span id="cb7-13"><a href="#cb7-13" aria-hidden="true" tabindex="-1"></a>title<span class="op">!</span>(<span class="st">"Propulsion Comparison"</span>)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-14"><a href="#cb7-14" aria-hidden="true" tabindex="-1"></a>xlabel<span class="op">!</span>(<span class="st">"Time (s)"</span>)<span class="op">;</span></span>
|
||||||
|
<span id="cb7-15"><a href="#cb7-15" aria-hidden="true" tabindex="-1"></a>ylabel<span class="op">!</span>(<span class="st">"Thrust (N)"</span>)</span></code></pre></div>
|
||||||
|
</details>
|
||||||
|
<div class="figure"><span id="fig:unnamed-chunk-8"></span>
|
||||||
|
<img src="air-propulsion-simulation_files/figure-html5/unnamed-chunk-8-J1.png" alt="Rocket Motor Data: [@thrustcurve]" width="350" />
|
||||||
|
<p class="caption">
|
||||||
|
Figure 2: Rocket Motor Data: <span class="citation" data-cites="thrustcurve">(<a href="#ref-thrustcurve" role="doc-biblioref">Coker, n.d.</a>)</span>
|
||||||
|
</p>
|
||||||
|
</div>
|
||||||
</div>
|
</div>
|
||||||
<p>Big conclusion about things.</p>
|
<p>Big conclusion about things.</p>
|
||||||
<div class="sourceCode" id="cb4"><pre class="sourceCode r distill-force-highlighting-css"><code class="sourceCode r"></code></pre></div>
|
<div class="sourceCode" id="cb8"><pre class="sourceCode r distill-force-highlighting-css"><code class="sourceCode r"></code></pre></div>
|
||||||
<div id="refs" class="references csl-bib-body hanging-indent" role="doc-bibliography">
|
<div id="refs" class="references csl-bib-body hanging-indent" role="doc-bibliography">
|
||||||
|
<div id="ref-thrustcurve" class="csl-entry" role="doc-biblioentry">
|
||||||
|
Coker, John. n.d. <span>“Rocket <span>Motor</span> <span>Data</span>.”</span> <a href="https://www.thrustcurve.org/">https://www.thrustcurve.org/</a>.
|
||||||
|
</div>
|
||||||
<div id="ref-curtis_orbital" class="csl-entry" role="doc-biblioentry">
|
<div id="ref-curtis_orbital" class="csl-entry" role="doc-biblioentry">
|
||||||
Curtis, Howard D. 2020. <em>Orbital Mechanics for Engineering Students</em>. Fourth edition. Butterworth-Heinemann Publications.
|
Curtis, Howard D. 2020. <em>Orbital Mechanics for Engineering Students</em>. Fourth edition. Butterworth-Heinemann Publications.
|
||||||
</div>
|
</div>
|
||||||
|
<div id="ref-cengel_thermodynamics" class="csl-entry" role="doc-biblioentry">
|
||||||
|
Çengel, Yunus A., and Michael A. Boles. 2015. <em>Thermodynamics: An Engineering Approach</em>. Eighth edition. New York: McGraw-Hill Education.
|
||||||
|
</div>
|
||||||
|
<div id="ref-sutton_rocket_2001" class="csl-entry" role="doc-biblioentry">
|
||||||
|
Sutton, George P., and Oscar Biblarz. 2001. <em>Rocket Propulsion Elements</em>. 7th ed. New York: John Wiley & Sons.
|
||||||
|
</div>
|
||||||
</div>
|
</div>
|
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