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      <div class="title_refTopic" id="xps10_pagetitle">CAERO5 </div>
      <hr noshade="true">
      <h4 class="refClassification">Aerodynamic Panel Element Configuration </h4>
      <p class="para_refTopic">Defines an aerodynamic macro element for Piston theory. </p>
      <div class="title_refCategory">Format: </div>
      <div class="refCategoryContent">
         <table border="1" width="100%" align="center">
            <colgroup span="1">
               <col span="1" width="10*">
               <col span="1" width="10*">
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            </colgroup>
            <thead>
               <tr>
                  <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">2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">3 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">6 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">7 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">8 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">9 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">10 </p>
                  </td>
               </tr>
            </thead>
            <tbody>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">CAERO5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">EID </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">CP </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NSPAN </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">LSPAN </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NTHRY </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">NTHICK </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">&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">X1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Y1 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Z1 </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">X4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Y4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">Z4 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">X43 </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">CAERO5 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">6000 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">6001 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">100 </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">315 </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">0 </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">0.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">0.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">0.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.0 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">0.2 </p>
                  </td>
                  <td align="center" colspan="1" rowspan="1">
                     <p class="para_td">1.0 </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">0.8 </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="10" width="100%" align="center">
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               <col span="1" width="16*">
               <col span="1" width="84*">
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                  <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">EID </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Element identification number.  (Integer &gt; 0) </p>
                  </td>
               </tr>
               <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 of a PAERO5 entry.  (Integer &gt; 0) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">CP </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Coordinate system for locating points 1 and 4.  (Integer &ge; 0; Default = 0) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NSPAN </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Number of strips. If a positive value is given, equal strips are assumed.  If zero or blank, then LSPAN must be specified. (Integer) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">LSPAN </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">ID of an AEFACT entry containing a list of division points for strips.  Used only if NSPAN is zero or blank.  (Integer &gt; 0) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NTHRY </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Parameter to select Piston or van Dyke&rsquo;s theory.  (Integer = 0, 1, or 2; Default = 0) </p>
                     <p class="para_td">Blank - Piston theory is used to compute <img align="bottom" src="graphics/bulkc1-ufig01.gif" border="0"> and <img align="bottom" src="graphics/bulkc1-ufig02.gif" border="0"></p>
                     <p class="para_td">or 1 </p>
                     <p class="para_td">1 = van Dyke&rsquo;s theory is used to compute <img align="bottom" src="graphics/bulkc1-ufig01.gif" border="0"> and <img align="bottom" src="graphics/bulkc1-ufig02.gif" border="0"> with no sweep correction (sec&Lambda; = 1.0). 
                     </p>
                     <p class="para_td">2 = van Dyke&rsquo;s theory is used to compute <img align="bottom" src="graphics/bulkc1-ufig01.gif" border="0"> and <img align="bottom" src="graphics/bulkc1-ufig02.gif" border="0"> with a sweep correction based on the actual &Lambda;. 
                     </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">NTHICK </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Parameter to select thickness integrals input.  (Integer &ge; 0; Default = 0) </p>
                     <p class="para_td">0 or Blank - Thickness integrals are computed internally. </p>
                     <p class="para_td">&gt;0 - Thickness integrals are input directly and are the ID number of an AEFACT entry that lists the <em>I</em> and/or <em>J</em> integrals. 
                     </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">X1, Y1, Z1, X4, Y4, Z4 </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Location of points 1 and 4 in coordinate system CP.  (Real) </p>
                  </td>
               </tr>
               <tr>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">X12, X43 </p>
                  </td>
                  <td align="left" colspan="1" rowspan="1" valign="top">
                     <p class="para_td">Edge chord lengths in aerodynamic coordinate system.  (Real &ge; 0; X12 and X43 cannot both be zero.) </p>
                  </td>
               </tr>
            </tbody>
         </table><br><a name="ref15927"></a><div class="figure">
            <p align="center"><img align="bottom" src="graphics/bulkc1-fig05.gif"></p>
         </div>
         <div class="title_figure">Figure. CAERO5 Element Configuration </div>
      </div>
      <div class="title_refCategory">Remarks: </div>
      <div class="refCategoryContent">
         <ol type="1" start="1">
            <li>
               <p class="para_item">The strips are numbered sequentially, beginning with EID.  The user must ensure that all strip numbers are unique and different from structural grid IDs. </p>
            </li>
            <li>
               <p class="para_item">The number of division points is one greater than the number of boxes.  Thus, if NSPAN=3, the division points are 0.0, 0.333, 0.667, 1.000.  If the user supplies division points, the first and last points need not be 0.0 and 1.0 (in which case the corners of the panel would not be at the reference points). </p>
            </li>
            <li>
               <p class="para_item">A triangular element is formed if X12 or X43 = 0.0. </p>
            </li>
            <li>
               <p class="para_item"><img align="bottom" src="graphics/bulkc1-ufig01.gif" border="0"> = <em>m/</em> (<em>m</em><sup class="superscript">2</sup> − sec<sup class="superscript">2</sup> &Lambda;)<sup class="superscript">1/2</sup></p>
               <p class="para_item"><img align="bottom" src="graphics/bulkc1-ufig02.gif" border="0"> = [<em>m</em><sup class="superscript">4</sup> (&gamma; + 1) − 4 sec<sup class="superscript">2</sup> &Lambda; (<em>m</em><sup class="superscript">2</sup> − sec<sup class="superscript">2</sup> &Lambda;) ] / [4(<em>m</em><sup class="superscript">2</sup> − sec<sup class="superscript">2</sup> &Lambda;)<sup class="superscript">2</sup>] 
               </p>
               <p class="para_item">where: </p>
               <table cellpadding="8" width="100%" align="center">
                  <colgroup span="1">
                     <col span="1" width="9.94*">
                     <col span="1" width="6.39*">
                     <col span="1" width="83.67*">
                  </colgroup>
                  <tbody>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">m </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">Mach number </p>
                        </td>
                     </tr>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">&gamma; </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">Specific heat ratio </p>
                        </td>
                     </tr>
                     <tr>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">&Lambda; </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">= </p>
                        </td>
                        <td align="left" colspan="1" rowspan="1" valign="top">
                           <p class="para_td">Leading edge sweep angle </p>
                        </td>
                     </tr>
                  </tbody>
               </table><br><p class="para_item">When sec &Lambda; = 0.0, Piston theory coefficients are obtained (NTHRY = 1). </p>
               <p class="para_item">When sec &Lambda; = 1.0, van Dyke coefficients are obtained (NTHRY = blank or 0). </p>
               <p class="para_item">When sec &Lambda; &ne; 0.0 or &ne; 1.0, sweep corrections are included (NTHRY = 2). </p>
            </li>
            <li>
               <p class="para_item"><em>I</em> and <em>J</em> thickness integral definitions: 
               </p><a name="ref94520"></a><div class="figure">
                  <p align="center"><img align="bottom" src="graphics/bulkc1-fig06a.gif"></p>
                  <p align="center"><img align="bottom" src="graphics/bulkc1-fig06b.gif"></p>
               </div>
               <div class="title_figure">Figure. CAERO5 I and J Thickness Integral Definitions </div>
            </li>
         </ol>
      </div>
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