hw

atom.xml

@@ -4,7 +4,7 @@
  <title>FLOW Lab</title>
  <link href="http://flow.byu.edu/atom.xml" rel="self"/>
  <link href="http://flow.byu.edu/"/>
- <updated>2024-11-11T13:38:02-07:00</updated>
+ <updated>2024-11-11T14:45:30-07:00</updated>
  <id>http://flow.byu.edu</id>
  <author>
    <name>Andrew Ning</name>

feed.xml

@@ -1 +1 @@
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Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">PJ Defense</title><link href="http://flow.byu.edu/posts/pj-defense" rel="alternate" type="text/html" title="PJ Defense" /><published>2020-09-30T00:00:00-06:00</published><updated>2020-09-30T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/pj-defense</id><content type="html" xml:base="http://flow.byu.edu/posts/pj-defense"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6714312529692237824" height="641" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Andrew Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">VPM Paper</title><link href="http://flow.byu.edu/posts/vpm-paper" rel="alternate" type="text/html" title="VPM Paper" 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src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6694076731474739200" height="949" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Judd Mehr and Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Eduardo’s Past Three Years</title><link href="http://flow.byu.edu/posts/eduardo-three-years" rel="alternate" type="text/html" title="Eduardo’s Past Three Years" /><published>2020-08-10T00:00:00-06:00</published><updated>2020-08-10T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/eduardo-three-years</id><content type="html" xml:base="http://flow.byu.edu/posts/eduardo-three-years"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6689985497042944000" height="797" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">FLOWUnsteady in Google Drive</title><link href="http://flow.byu.edu/posts/google-drive-vpm" rel="alternate" type="text/html" title="FLOWUnsteady in Google Drive" /><published>2020-08-02T00:00:00-06:00</published><updated>2020-08-02T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/google-drive-vpm</id><content type="html" xml:base="http://flow.byu.edu/posts/google-drive-vpm"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6689003185174118400" height="1094" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry></feed>
+<?xml version="1.0" encoding="utf-8"?><feed xmlns="http://www.w3.org/2005/Atom" ><generator uri="https://jekyllrb.com/" version="4.3.4">Jekyll</generator><link href="http://flow.byu.edu/feed.xml" rel="self" type="application/atom+xml" /><link href="http://flow.byu.edu/" rel="alternate" type="text/html" /><updated>2024-11-11T14:45:30-07:00</updated><id>http://flow.byu.edu/feed.xml</id><title type="html">FLOW Lab</title><subtitle>Flight, Optimization, and Wind Laboratory</subtitle><author><name>Andrew Ning</name></author><entry><title type="html">Optimization Book Available</title><link href="http://flow.byu.edu/posts/opt-book" rel="alternate" type="text/html" title="Optimization Book Available" /><published>2021-10-15T00:00:00-06:00</published><updated>2021-10-15T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/opt-book</id><content type="html" xml:base="http://flow.byu.edu/posts/opt-book"><![CDATA[<iframe 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href="http://flow.byu.edu/posts/eduardo-latest" rel="alternate" type="text/html" title="Eduardo Research Update" /><published>2021-03-01T00:00:00-07:00</published><updated>2021-03-01T00:00:00-07:00</updated><id>http://flow.byu.edu/posts/eduardo-latest</id><content type="html" xml:base="http://flow.byu.edu/posts/eduardo-latest"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6779795433318420480" height="1142" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Reformulated VPM</title><link href="http://flow.byu.edu/posts/reformulated-vpm" rel="alternate" type="text/html" title="Reformulated VPM" /><published>2021-02-01T00:00:00-07:00</published><updated>2021-02-01T00:00:00-07:00</updated><id>http://flow.byu.edu/posts/reformulated-vpm</id><content type="html" xml:base="http://flow.byu.edu/posts/reformulated-vpm"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6767685749157588992" height="990" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Optimization Book Announcement</title><link href="http://flow.byu.edu/posts/optimization-book" rel="alternate" type="text/html" title="Optimization Book Announcement" /><published>2021-01-20T00:00:00-07:00</published><updated>2021-01-20T00:00:00-07:00</updated><id>http://flow.byu.edu/posts/optimization-book</id><content type="html" xml:base="http://flow.byu.edu/posts/optimization-book"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6758135437300154368" height="679" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Andrew Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">PJ Defense</title><link href="http://flow.byu.edu/posts/pj-defense" rel="alternate" type="text/html" title="PJ Defense" /><published>2020-09-30T00:00:00-06:00</published><updated>2020-09-30T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/pj-defense</id><content type="html" xml:base="http://flow.byu.edu/posts/pj-defense"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6714312529692237824" height="641" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Andrew Ning</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">VPM Paper</title><link href="http://flow.byu.edu/posts/vpm-paper" rel="alternate" type="text/html" title="VPM Paper" /><published>2020-08-30T00:00:00-06:00</published><updated>2020-08-30T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/vpm-paper</id><content type="html" xml:base="http://flow.byu.edu/posts/vpm-paper"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:ugcPost:6711406263634419712" height="857" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry><entry><title type="html">Airborne Wind with Vortex Particle Method</title><link href="http://flow.byu.edu/posts/wind-harvesting" rel="alternate" type="text/html" title="Airborne Wind with Vortex Particle Method" /><published>2020-08-16T00:00:00-06:00</published><updated>2020-08-16T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/wind-harvesting</id><content type="html" xml:base="http://flow.byu.edu/posts/wind-harvesting"><![CDATA[<iframe 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type="html"><![CDATA[]]></summary></entry><entry><title type="html">FLOWUnsteady in Google Drive</title><link href="http://flow.byu.edu/posts/google-drive-vpm" rel="alternate" type="text/html" title="FLOWUnsteady in Google Drive" /><published>2020-08-02T00:00:00-06:00</published><updated>2020-08-02T00:00:00-06:00</updated><id>http://flow.byu.edu/posts/google-drive-vpm</id><content type="html" xml:base="http://flow.byu.edu/posts/google-drive-vpm"><![CDATA[<iframe src="https://www.linkedin.com/embed/feed/update/urn:li:share:6689003185174118400" height="1094" width="504" frameborder="0" allowfullscreen="" title="Embedded post"></iframe>]]></content><author><name>Eduardo Alvarez</name></author><summary type="html"><![CDATA[]]></summary></entry></feed>

me415/schedule/hw8/index.html

@@ -153,7 +153,7 @@ <h1 id="hw-8">HW 8</h1>
 
 <p><img src="../tanks.png" height="400px" class="img-center" /></p>
 
-<p>The fuel tanks and rocket body are made of aluminum.  Note that a stacked configuration is used and that about 10 meters of extra length is required below the tanks for the engines.  As shown on the right, it is easiest to estimate the required tank size by assuming that the tanks are cylinders and then add on about 3 meters per tank to account for the fact that the round end caps will need to be longer than a pure cylinder and that there will be some ullage volume (that means the tanks won’t be 100% filled).  For simplicity, I’d treat the diameter of the tanks as the same as that of the rocket body (it’s a really small difference).</p>
+<p>The fuel tanks and rocket body are made of aluminum.  Note that a stacked configuration is used and that about 10 meters of extra length is required below the tanks for the engines.  As shown on the right, it is easiest to estimate the required tank size by assuming that the tanks are cylinders and then add on about 3 meters per tank to account for the fact that the round end caps will need to be longer than a pure cylinder and that there will be some ullage volume (that means the tanks won’t be 100% filled).  For simplicity, I’d treat the diameter of the tanks as the same as that of the rocket body (it’s a really small difference).  Note that the cylindrical tanks are meant to have the same volume as the rounded tanks (see right-most figure).  So for a fixed volume they will be shorter (which is why we add in the extra length), but the surface area should be roughly the same.  In other words, the added 3m length per tank should only affect the total length calculation of the stage, it should not affect the structural mass calculation.</p>
 
 <p>Because the structural mass depends on the propellant mass, and the propellant mass depends on the structural mass, an iterative process is required (i.e., root finding).  If you’re struggling to know if you’re on the right track, because this is an actual rocket, you could start with the known propellant mass and work your way through the equations checking your numbers against the actual rocket, then fine tune from there.</p>