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      <revision>21</revision>
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      <exponentialThreshold>8</exponentialThreshold>
      <fractions>decimal</fractions>
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      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
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  </settings>
  <region id="0" left="0" top="0" width="775" height="28" color="#000000" bgColor="#ffffff" fontSize="12">
    <text lang="eng">
      <p>Calcualation for right sizing a check valve per Crane Technical Paper No. 410</p>
    </text>
  </region>
  <region id="1" left="0" top="27" width="390" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Calculation assume the use of water at standard conditions</p>
    </text>
  </region>
  <region id="2" left="90" top="54" width="90" height="41" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">ρ</e>
        <e type="operand">62.3</e>
        <e type="operand" style="unit">lb</e>
        <e type="operand" style="unit">ft</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="315" top="63" width="160" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Density of water at STP</p>
    </text>
  </region>
  <region id="4" left="90" top="90" width="83" height="29" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">Q</e>
        <e type="operand">v.el</e>
        <e type="operand">A.rea</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="5" left="315" top="99" width="136" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Continuity equation</p>
    </text>
  </region>
  <region id="6" left="90" top="126" width="41" height="35" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">Q</e>
        <e type="operand">ṁ</e>
        <e type="operand">ρ</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="7" left="315" top="126" width="101" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Mass flow rate</p>
    </text>
  </region>
  <region id="8" left="90" top="153" width="86" height="42" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">A.rea</e>
        <e type="operand">π</e>
        <e type="operand">D</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">4</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="315" top="171" width="252" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Cross sectional area of a circle/pipe</p>
    </text>
  </region>
  <region id="10" left="0" top="207" width="234" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>With algebraic manipulation</p>
    </text>
  </region>
  <region id="11" left="315" top="207" width="349" height="50" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">V.el</e>
        <e type="operand">Q</e>
        <e type="operand">v.el</e>
        <e type="operand">A.rea</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">v.el</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="symbolic">
        <e type="operand">4</e>
        <e type="operand">Q</e>
        <e type="operator" args="2">*</e>
        <e type="operand">π</e>
        <e type="operand">D</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="12" left="0" top="252" width="320" height="28" color="#000000" bgColor="#ffffff" fontSize="12">
    <text lang="eng">
      <p>Given the following parameters:</p>
    </text>
  </region>
  <region id="13" left="90" top="279" width="141" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Q</e>
        <e type="operand">570</e>
        <e type="operand">80</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="function" preserve="true" args="1">transpose</e>
        <e type="operand" style="unit">gal</e>
        <e type="operand" style="unit">min</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="315" top="279" width="226" height="21" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Flow from randomly selected pumps</p>
    </text>
  </region>
  <region id="15" left="0" top="315" width="736" height="104" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Find the "check valve" pipe diameter that meets the corresponding minimum flowvelocity (velocity is greater than the minimum velocity) in "standard weight" carbon andalloy steel-stainless steel IPS pipe.    Note that this is Sch 40 up to and including 10".NOTE: This is for "full" open.  Data table is provided to give the engineer the option toupsize the valve per their judgment.</p>
    </text>
  </region>
  <region id="16" left="783" top="360" width="471" height="40" color="#000000" bgColor="#ff8000" fontSize="10">
    <text lang="eng">
      <p>Example of judgment would be tilting disc example below.8" 'same line size' piping may be acceptable</p>
    </text>
  </region>
  <region id="17" top="423" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>Pipe Data - Carbon and Alloy Steel-Stainless Steel</p>
      </title>
    </area>
    <region id="18" left="9" top="450" width="422" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Pipe Data - Carbon and Alloy Steel-Stainless SteelAppendix B-13 through 15</p>
      </text>
    </region>
    <region id="19" left="18" top="495" width="119" height="399" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <description active="true" position="Top" lang="eng">
          <p>This uses standard weightIPS Carbon steel Outer Diameter.</p>
        </description>
        <input>
          <e type="operand">D.outer</e>
          <e type="operand">.5</e>
          <e type="operand">.75</e>
          <e type="operand">1</e>
          <e type="operand">1.25</e>
          <e type="operand">1.5</e>
          <e type="operand">2</e>
          <e type="operand">2.5</e>
          <e type="operand">3</e>
          <e type="operand">4</e>
          <e type="operand">5</e>
          <e type="operand">6</e>
          <e type="operand">8</e>
          <e type="operand">10</e>
          <e type="operand">12</e>
          <e type="operand">14</e>
          <e type="operand">16</e>
          <e type="operand">18</e>
          <e type="operand">20</e>
          <e type="operand">22</e>
          <e type="operand">24</e>
          <e type="operand">26</e>
          <e type="operand">28</e>
          <e type="operand">30</e>
          <e type="operand">32</e>
          <e type="operand">34</e>
          <e type="operand">36</e>
          <e type="operand">26</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="28">mat</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="20" left="279" top="495" width="100" height="399" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <description active="true" position="Top" lang="eng">
          <p>This uses standard weightIPS Carbon steel Inner Diameter.</p>
        </description>
        <input>
          <e type="operand">D</e>
          <e type="operand">.622</e>
          <e type="operand">.824</e>
          <e type="operand">1.049</e>
          <e type="operand">1.38</e>
          <e type="operand">1.61</e>
          <e type="operand">2.067</e>
          <e type="operand">2.469</e>
          <e type="operand">3.068</e>
          <e type="operand">4.026</e>
          <e type="operand">5.047</e>
          <e type="operand">6.065</e>
          <e type="operand">7.981</e>
          <e type="operand">10.020</e>
          <e type="operand">12.000</e>
          <e type="operand">13.250</e>
          <e type="operand">15.250</e>
          <e type="operand">17.250</e>
          <e type="operand">19.250</e>
          <e type="operand">21.250</e>
          <e type="operand">23.250</e>
          <e type="operand">25.250</e>
          <e type="operand">27.250</e>
          <e type="operand">29.250</e>
          <e type="operand">31.250</e>
          <e type="operand">33.250</e>
          <e type="operand">35.250</e>
          <e type="operand">26</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="28">mat</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="21" left="9" top="945" width="516" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Pipe Friction Data  for Sch40 Clean Commercial Steel Pipe withFlow in Zones of Complete TurbulenceAppendix A-27</p>
      </text>
    </region>
    <region id="22" left="9" top="1008" width="75" height="339" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <description active="true" position="Top" lang="eng">
          <p>Diameters will assume "standard" weight in lieu of sch. 40.This is typical in construction</p>
        </description>
        <input>
          <e type="operand">f.t</e>
          <e type="operand">.026</e>
          <e type="operand">.024</e>
          <e type="operand">.022</e>
          <e type="operand">.021</e>
          <e type="operand">.020</e>
          <e type="operand">.019</e>
          <e type="operand">.018</e>
          <e type="operand">.017</e>
          <e type="operand">.016</e>
          <e type="operand">.015</e>
          <e type="operand">.015</e>
          <e type="operand">.014</e>
          <e type="operand">.013</e>
          <e type="operand">.013</e>
          <e type="operand">.013</e>
          <e type="operand">.012</e>
          <e type="operand">.012</e>
          <e type="operand">.012</e>
          <e type="operand">.012</e>
          <e type="operand">.011</e>
          <e type="operand">.011</e>
          <e type="operand">.011</e>
          <e type="operand">22</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="24">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="23" left="783" top="1053" width="273" height="24" color="#000000" bgColor="#ff8000" fontSize="10">
      <text lang="eng">
        <p>Updade to Moody to solve for f.t</p>
      </text>
    </region>
    <region id="24" top="1386" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="25" top="1413" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>User Function</p>
      </title>
    </area>
    <region id="26" left="9" top="1431" width="565" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Vectors - Column matrix are multiplied getting their scalar product (sum of products of their elements)in this program.  To get the elemental product we need to use "for" loops.</p>
      </text>
    </region>
    <region id="27" left="9" top="1494" width="469" height="419" color="#000000" bgColor="#ffffff" fontSize="8">
      <math>
        <description active="true" position="Top" lang="eng">
          <p>Counter by CGB, Table inspired by jMG</p>
        </description>
        <input>
          <e type="operand">Answer</e>
          <e type="operand">Header</e>
          <e type="operand" style="string">D nom (in)</e>
          <e type="operand" style="string">D(in)</e>
          <e type="operand" style="string">Q1(fpm)</e>
          <e type="operand" style="string">Q2(fpm)</e>
          <e type="function" preserve="true" args="4">augment</e>
          <e type="operator" args="2">:</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operand">D</e>
          <e type="function" preserve="true" args="1">rows</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">j</e>
          <e type="operand">1</e>
          <e type="operand">Q</e>
          <e type="function" preserve="true" args="1">rows</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">#v</e>
          <e type="operand">i</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">4</e>
          <e type="operand">Q</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="2">*</e>
          <e type="operand">π</e>
          <e type="operand">D</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
          <e type="operand">#v</e>
          <e type="operand">i</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">Vel.min</e>
          <e type="operator" args="2">≥</e>
          <e type="operand">#D.o</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">D.outer</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">#D</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">D</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">#V</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">#v</e>
          <e type="operand">i</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="5">line</e>
          <e type="operand">continue</e>
          <e type="function" preserve="true" args="3">if</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">line</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">Answer.collect</e>
          <e type="operand">#D.o</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operand">#D</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operand">#V</e>
          <e type="function" preserve="true" args="1">diag</e>
          <e type="operand" style="unit">ft</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">/</e>
          <e type="function" preserve="true" args="3">augment</e>
          <e type="operator" args="2">:</e>
          <e type="operand">M</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand" style="string">TABLE</e>
          <e type="operator" args="2">:</e>
          <e type="operand">u</e>
          <e type="operand">2</e>
          <e type="operand">Answer.collect</e>
          <e type="function" preserve="true" args="1">cols</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">M</e>
          <e type="operand">1</e>
          <e type="operand">u</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand" style="string">---</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">Table.collect</e>
          <e type="operand">D.outer</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operand">D</e>
          <e type="operand" style="unit">in</e>
          <e type="operator" args="2">/</e>
          <e type="operand">#v</e>
          <e type="operand" style="unit">ft</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">/</e>
          <e type="function" preserve="true" args="3">augment</e>
          <e type="operator" args="2">:</e>
          <e type="operand">Header</e>
          <e type="operand">Answer.collect</e>
          <e type="operand">M</e>
          <e type="operand">Table.collect</e>
          <e type="function" preserve="true" args="4">stack</e>
          <e type="operand">7</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="9">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="28" top="1926" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="29" top="1953" color="#000000" bgColor="#ffffff">
    <area single="true" collapsed="true" />
  </region>
  <region id="30" left="0" top="1980" width="337" height="28" color="#000000" bgColor="#ffffff" fontSize="12">
    <text lang="eng">
      <p>AWWA swing check valve (pg. A-28)</p>
    </text>
  </region>
  <region id="31" left="90" top="2007" width="163" height="43" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">Vel.min</e>
        <e type="operand">60</e>
        <e type="operand">1</e>
        <e type="operand">ρ</e>
        <e type="operator" args="2">/</e>
        <e type="operand" style="unit">lb</e>
        <e type="operand" style="unit">ft</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">ft</e>
        <e type="operand" style="unit">s</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="32" left="315" top="2007" width="446" height="47" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Minimum Velocity(Note that the constant 60 should be changed depending on the styleof check valve)</p>
    </text>
  </region>
  <region id="33" left="90" top="2052" width="125" height="36" color="#000000" bgColor="#ffff00" fontSize="8">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>Check Valve Minimum Velocity</p>
      </description>
      <input>
        <e type="operand">Vel.min</e>
      </input>
      <contract>
        <e type="operand" style="unit">ft</e>
        <e type="operand" style="unit">s</e>
        <e type="operator" args="2">/</e>
      </contract>
      <result action="numeric">
        <e type="operand">7.6016</e>
      </result>
    </math>
  </region>
  <region id="34" left="315" top="2079" width="404" height="34" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Minimum velocity of a parrallel flow  AWWA swing check valve.Notice that physical size is not a factor</p>
    </text>
  </region>
  <region id="35" left="0" top="2124" width="425" height="549" color="#000000" bgColor="#ffffff" fontSize="10">
    <math matrixOptions="0,0,4,30">
      <input>
        <e type="operand">Answer</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">D nom (in)</e>
        <e type="operand" style="string">D(in)</e>
        <e type="operand" style="string">Q1(fpm)</e>
        <e type="operand" style="string">Q2(fpm)</e>
        <e type="operand">5</e>
        <e type="operand">5.047</e>
        <e type="operand">9.1411</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">2.067</e>
        <e type="operand">0</e>
        <e type="operand">7.6489</e>
        <e type="operand" style="string">TABLE</e>
        <e type="operand" style="string">---</e>
        <e type="operand" style="string">---</e>
        <e type="operand" style="string">---</e>
        <e type="operand">0.5</e>
        <e type="operand">0.622</e>
        <e type="operand">601.8437</e>
        <e type="operand">84.4693</e>
        <e type="operand">0.75</e>
        <e type="operand">0.824</e>
        <e type="operand">342.9336</e>
        <e type="operand">48.131</e>
        <e type="operand">1</e>
        <e type="operand">1.049</e>
        <e type="operand">211.5989</e>
        <e type="operand">29.6981</e>
        <e type="operand">1.25</e>
        <e type="operand">1.38</e>
        <e type="operand">122.2662</e>
        <e type="operand">17.1602</e>
        <e type="operand">1.5</e>
        <e type="operand">1.61</e>
        <e type="operand">89.8282</e>
        <e type="operand">12.6075</e>
        <e type="operand">2</e>
        <e type="operand">2.067</e>
        <e type="operand">54.4984</e>
        <e type="operand">7.6489</e>
        <e type="operand">2.5</e>
        <e type="operand">2.469</e>
        <e type="operand">38.1964</e>
        <e type="operand">5.3609</e>
        <e type="operand">3</e>
        <e type="operand">3.068</e>
        <e type="operand">24.7374</e>
        <e type="operand">3.4719</e>
        <e type="operand">4</e>
        <e type="operand">4.026</e>
        <e type="operand">14.3654</e>
        <e type="operand">2.0162</e>
        <e type="operand">5</e>
        <e type="operand">5.047</e>
        <e type="operand">9.1411</e>
        <e type="operand">1.283</e>
        <e type="operand">6</e>
        <e type="operand">6.065</e>
        <e type="operand">6.33</e>
        <e type="operand">0.8884</e>
        <e type="operand">8</e>
        <e type="operand">7.981</e>
        <e type="operand">3.6555</e>
        <e type="operand">0.5131</e>
        <e type="operand">10</e>
        <e type="operand">10.02</e>
        <e type="operand">2.3192</e>
        <e type="operand">0.3255</e>
        <e type="operand">12</e>
        <e type="operand">12</e>
        <e type="operand">1.617</e>
        <e type="operand">0.2269</e>
        <e type="operand">14</e>
        <e type="operand">13.25</e>
        <e type="operand">1.3263</e>
        <e type="operand">0.1861</e>
        <e type="operand">16</e>
        <e type="operand">15.25</e>
        <e type="operand">1.0012</e>
        <e type="operand">0.1405</e>
        <e type="operand">18</e>
        <e type="operand">17.25</e>
        <e type="operand">0.7825</e>
        <e type="operand">0.1098</e>
        <e type="operand">20</e>
        <e type="operand">19.25</e>
        <e type="operand">0.6284</e>
        <e type="operand">0.0882</e>
        <e type="operand">22</e>
        <e type="operand">21.25</e>
        <e type="operand">0.5156</e>
        <e type="operand">0.0724</e>
        <e type="operand">24</e>
        <e type="operand">23.25</e>
        <e type="operand">0.4307</e>
        <e type="operand">0.0605</e>
        <e type="operand">26</e>
        <e type="operand">25.25</e>
        <e type="operand">0.3652</e>
        <e type="operand">0.0513</e>
        <e type="operand">28</e>
        <e type="operand">27.25</e>
        <e type="operand">0.3136</e>
        <e type="operand">0.044</e>
        <e type="operand">30</e>
        <e type="operand">29.25</e>
        <e type="operand">0.2722</e>
        <e type="operand">0.0382</e>
        <e type="operand">32</e>
        <e type="operand">31.25</e>
        <e type="operand">0.2384</e>
        <e type="operand">0.0335</e>
        <e type="operand">34</e>
        <e type="operand">33.25</e>
        <e type="operand">0.2106</e>
        <e type="operand">0.0296</e>
        <e type="operand">36</e>
        <e type="operand">35.25</e>
        <e type="operand">0.1874</e>
        <e type="operand">0.0263</e>
        <e type="operand">30</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="122">mat</e>
      </result>
    </math>
  </region>
  <region id="36" top="2691" color="#000000" bgColor="#ffffff">
    <area single="true" collapsed="true" />
  </region>
  <region id="37" left="0" top="2709" width="505" height="28" color="#000000" bgColor="#ffffff" fontSize="12">
    <text lang="eng">
      <p>Parallel tilting disk swing check valve (pg. A-28)</p>
    </text>
  </region>
  <region id="38" left="90" top="2736" width="163" height="43" color="#000000" bgColor="#ffffff" fontSize="8">
    <math>
      <input>
        <e type="operand">Vel.min</e>
        <e type="operand">30</e>
        <e type="operand">1</e>
        <e type="operand">ρ</e>
        <e type="operator" args="2">/</e>
        <e type="operand" style="unit">lb</e>
        <e type="operand" style="unit">ft</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="unit">ft</e>
        <e type="operand" style="unit">s</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="39" left="315" top="2736" width="446" height="47" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Minimum Velocity(Note that the constant 30 should be changed depending on the styleof check valve or the angle "α").  This corresponds to 15 degrees.</p>
    </text>
  </region>
  <region id="40" left="90" top="2781" width="125" height="36" color="#000000" bgColor="#ffff00" fontSize="8">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>Check Valve Minimum Velocity</p>
      </description>
      <input>
        <e type="operand">Vel.min</e>
      </input>
      <contract>
        <e type="operand" style="unit">ft</e>
        <e type="operand" style="unit">s</e>
        <e type="operator" args="2">/</e>
      </contract>
      <result action="numeric">
        <e type="operand">3.8008</e>
      </result>
    </math>
  </region>
  <region id="41" left="315" top="2808" width="317" height="34" color="#000000" bgColor="#ffffff" fontSize="8">
    <text lang="eng">
      <p>Minimum velocity of a tilting disc check valve.Notice that physical size is not a factor</p>
    </text>
  </region>
  <region id="42" left="18" top="2853" width="425" height="549" color="#000000" bgColor="#ffffff" fontSize="10">
    <math matrixOptions="0,0,4,30">
      <input>
        <e type="operand">Answer</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">D nom (in)</e>
        <e type="operand" style="string">D(in)</e>
        <e type="operand" style="string">Q1(fpm)</e>
        <e type="operand" style="string">Q2(fpm)</e>
        <e type="operand">6</e>
        <e type="operand">6.065</e>
        <e type="operand">6.33</e>
        <e type="operand">0</e>
        <e type="operand">2.5</e>
        <e type="operand">2.469</e>
        <e type="operand">0</e>
        <e type="operand">5.3609</e>
        <e type="operand" style="string">TABLE</e>
        <e type="operand" style="string">---</e>
        <e type="operand" style="string">---</e>
        <e type="operand" style="string">---</e>
        <e type="operand">0.5</e>
        <e type="operand">0.622</e>
        <e type="operand">601.8437</e>
        <e type="operand">84.4693</e>
        <e type="operand">0.75</e>
        <e type="operand">0.824</e>
        <e type="operand">342.9336</e>
        <e type="operand">48.131</e>
        <e type="operand">1</e>
        <e type="operand">1.049</e>
        <e type="operand">211.5989</e>
        <e type="operand">29.6981</e>
        <e type="operand">1.25</e>
        <e type="operand">1.38</e>
        <e type="operand">122.2662</e>
        <e type="operand">17.1602</e>
        <e type="operand">1.5</e>
        <e type="operand">1.61</e>
        <e type="operand">89.8282</e>
        <e type="operand">12.6075</e>
        <e type="operand">2</e>
        <e type="operand">2.067</e>
        <e type="operand">54.4984</e>
        <e type="operand">7.6489</e>
        <e type="operand">2.5</e>
        <e type="operand">2.469</e>
        <e type="operand">38.1964</e>
        <e type="operand">5.3609</e>
        <e type="operand">3</e>
        <e type="operand">3.068</e>
        <e type="operand">24.7374</e>
        <e type="operand">3.4719</e>
        <e type="operand">4</e>
        <e type="operand">4.026</e>
        <e type="operand">14.3654</e>
        <e type="operand">2.0162</e>
        <e type="operand">5</e>
        <e type="operand">5.047</e>
        <e type="operand">9.1411</e>
        <e type="operand">1.283</e>
        <e type="operand">6</e>
        <e type="operand">6.065</e>
        <e type="operand">6.33</e>
        <e type="operand">0.8884</e>
        <e type="operand">8</e>
        <e type="operand">7.981</e>
        <e type="operand">3.6555</e>
        <e type="operand">0.5131</e>
        <e type="operand">10</e>
        <e type="operand">10.02</e>
        <e type="operand">2.3192</e>
        <e type="operand">0.3255</e>
        <e type="operand">12</e>
        <e type="operand">12</e>
        <e type="operand">1.617</e>
        <e type="operand">0.2269</e>
        <e type="operand">14</e>
        <e type="operand">13.25</e>
        <e type="operand">1.3263</e>
        <e type="operand">0.1861</e>
        <e type="operand">16</e>
        <e type="operand">15.25</e>
        <e type="operand">1.0012</e>
        <e type="operand">0.1405</e>
        <e type="operand">18</e>
        <e type="operand">17.25</e>
        <e type="operand">0.7825</e>
        <e type="operand">0.1098</e>
        <e type="operand">20</e>
        <e type="operand">19.25</e>
        <e type="operand">0.6284</e>
        <e type="operand">0.0882</e>
        <e type="operand">22</e>
        <e type="operand">21.25</e>
        <e type="operand">0.5156</e>
        <e type="operand">0.0724</e>
        <e type="operand">24</e>
        <e type="operand">23.25</e>
        <e type="operand">0.4307</e>
        <e type="operand">0.0605</e>
        <e type="operand">26</e>
        <e type="operand">25.25</e>
        <e type="operand">0.3652</e>
        <e type="operand">0.0513</e>
        <e type="operand">28</e>
        <e type="operand">27.25</e>
        <e type="operand">0.3136</e>
        <e type="operand">0.044</e>
        <e type="operand">30</e>
        <e type="operand">29.25</e>
        <e type="operand">0.2722</e>
        <e type="operand">0.0382</e>
        <e type="operand">32</e>
        <e type="operand">31.25</e>
        <e type="operand">0.2384</e>
        <e type="operand">0.0335</e>
        <e type="operand">34</e>
        <e type="operand">33.25</e>
        <e type="operand">0.2106</e>
        <e type="operand">0.0296</e>
        <e type="operand">36</e>
        <e type="operand">35.25</e>
        <e type="operand">0.1874</e>
        <e type="operand">0.0263</e>
        <e type="operand">30</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="122">mat</e>
      </result>
    </math>
  </region>
</regions>