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      <div class="title_refTopic" id="xps10_pagetitle">PAERO3 </div>
      <hr noshade="true">
      <h4 class="refClassification">Aerodynamic Panel Property </h4>
      <p class="para_refTopic">Defines the number of Mach boxes in the flow direction and the location of cranks and control surfaces of a Mach box lifting surface. </p>
      <div class="title_refCategory">Format: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
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            <thead>
               <tr>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">1 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">2 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">3 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">4 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">5 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">6 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">7 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">8 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">9 </p>
                  </th>
                  <th align="center" colspan="1" rowspan="1">
                     <p class="para_th">10 </p>
                  </th>
               </tr>
            </thead>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">PAERO3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">PID </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NBOX </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NCTRL </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">X5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Y5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">X6 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Y6 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">X7 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Y7 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">X8 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Y8 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">X9 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Y9 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">X10 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Y10 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">X11 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Y11 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">X12 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Y12 </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" bgcolor="gray" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Example: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
            <colgroup span="1">
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            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">PAERO3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">2001 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">15 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">0. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">65. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">78. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">65. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">108. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">65. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">82. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">97.5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">112. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">97.5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">86. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">130. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">116. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">130. </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">&nbsp; </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Fields:</div>
      <div class="refCategoryContent">
         <table cellpadding="9" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="23.06*">
               <col span="1" width="76.94*">
            </colgroup>
            <thead>
               <tr>
                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Field </b></p>
                  </th>
                  <th align="left" colspan="1" rowspan="1">
                     <p class="para_th"><b class="uiTerm">Contents </b></p>
                  </th>
               </tr>
            </thead>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">PID </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Property identification number.  (Integer &gt; 0) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NBOX </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Number of Mach boxes in the flow direction.  (0 &lt; Integer &lt; 50) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NCTRL </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Number of control surfaces.  (Integer 0, 1, or 2) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">X5 through Y12 </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Locations of points 5 through 12, which are in the aerodynamic coordinate system, to define the cranks and control surface geometry.  (Real) </p>
                  </td>
               </tr>
            </tbody>
         </table><br></div>
      <div class="title_refCategory">Remarks: </div>
      <div class="refCategoryContent">
         <ol type="1" start="1">
            <li>
               <p class="para_item">For an illustration of the geometry, see the CAERO3 entry description. </p>
            </li>
            <li>
               <p class="para_item">If Y5 &le; 0.0, there is no leading edge crank.  Also, if Y6 &le; 0.0, there is no trailing edge crank. </p>
            </li>
            <li>
               <p class="para_item">If NCTRL = 0, no continuations are required.  If NCTRL = 1 or 2, then NCTRL continuations are required. </p>
            </li>
            <li>
               <p class="para_item">Y7 &ge; Y8, Y9 &ge; Y10, and Y11 &ge; Y12. </p>
            </li>
            <li>
               <p class="para_item">The number of Mach boxes in the spanwise direction (NSB) may be found from the following formula: </p>
               <p align="center"><img align="bottom" src="graphics/bulkp-equ04.gif"></p>
               <p class="para_item">where </p>
               <table border="" cellpadding="7" width="100%" align="center">
                  <colgroup span="1">
                     <col span="1" width="11.43*">
                     <col span="1" width="5.28*">
                     <col span="1" width="83.29*">
                  </colgroup>
                  <tbody>
                     <tr>
                        <td align="right" colspan="1" rowspan="1">
                           <p class="para_td">&beta; </p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p align="center"><img align="bottom" src="graphics/bulkp-equ05.gif"></p>
                        </td>
                     </tr>
                     <tr>
                        <td align="right" colspan="1" rowspan="1">
                           <p class="para_td"><em>x<sub class="subscript">max</sub></em></p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">maximum chordwise direction </p>
                        </td>
                     </tr>
                     <tr>
                        <td align="right" colspan="1" rowspan="1">
                           <p class="para_td"><em>y<sub class="subscript">max</sub></em></p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">maximum spanwise direction </p>
                        </td>
                     </tr>
                     <tr>
                        <td align="right" colspan="1" rowspan="1">
                           <p class="para_td">NBOX </p>
                        </td>
                        <td align="center" colspan="1" rowspan="1">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">initial number of boxes specified in field 3 </p>
                        </td>
                     </tr>
                  </tbody>
               </table><br><p class="para_item">The number of Mach boxes in the streamwise direction may then be computed from: </p>
               <p align="center"><img align="bottom" src="graphics/bulkp-equ06.gif"></p>
               <p class="para_item">The number of chordwise boxes specified by the user (NBOX &ge; 50) will be replaced by a floating point number (usually slightly higher than NBOX).  The method contracts the mesh equally in both dimensions until a box edge lies on the surface tip.  This mesh size is then used to compute the number of chordwise boxes. </p>
               <table border="0">
                  <tr>
                     <td valign="top" align="left"><img align="left" src="../graphics/note.gif" alt="Note" title="Note"></td>
                     <td valign="bottom" align="left" width="100%">
                        <div class="para_note">
                           <p class="para_note_body">A minimum of seven Mach boxes in the flow direction (NBOX) is recommended. </p>
                        </div>
                     </td>
                  </tr>
               </table>
            </li>
         </ol>
      </div>
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