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charset="0" size="24"> <inlineAttr line-through="false">Airfoil Data</inlineAttr> </f> </text> </region> <region region-id="16821" left="258" top="188.25" width="237.75" height="12" align-x="275.25" align-y="198" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> modified Nov,21, 2005, 3:33 by Charles W. Barbour II </text> </region> <region region-id="17281" left="12" top="498.75" width="791.25" height="10.5" align-x="11.25" align-y="498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <reference> <originRef doc-id="d4a42c15-7dc4-4eb1-b98f-0040348eb27e" version-id="a3e33d4b-4f26-44ed-8306-1b0432c841f1" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="true" region-id="0" href="C:\Documents and Settings\Charles W. Barbour 2\Charles\Homework\Class\Aircraft Design\Winter 2006\mathcad\current_model\aerodynamics\Aero 2D values.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="0" is-modified="false" region-id="0" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> </reference> <link href="./Aero 2D values.xmcd"/> <rendering item-idref="2"/> </region> <region region-id="17315" left="12" top="545.25" width="198" height="15.75" align-x="27" align-y="558" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">Trailing Edge Flap Corrections</inlineAttr> </f> </text> </region> <region region-id="17331" left="0" top="566.25" width="6008.25" align-x="0" align-y="566.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="537"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="17329" bottom-lock-id="17300"> <region region-id="17316" left="162" top="23.25" width="344.25" height="12" align-x="171.75" align-y="33" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Data file for non-linear correction factor (K') data.<sp count="2"/>Taken from Fig. 9.9 of Nicolai. </text> </region> <region region-id="17317" left="96" top="66" width="56.25" height="21" align-x="118.5" align-y="81" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="e.K">δ</ml:id> <ml:apply> <ml:matcol/> <ml:id xml:space="preserve" subscript="e">Kδ</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="17318" left="204" top="72" width="195.75" height="21" align-x="253.5" align-y="87" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">Index</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="E">C</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:real>-21.471</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="E">C</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>27.985</ml:real> <ml:id xml:space="preserve" subscript="E">C</ml:id> </ml:apply> </ml:apply> <ml:real>1.6483</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="17319" left="102" top="105.75" width="135" height="23.25" align-x="135" align-y="123" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">K</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="E">C</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:matcol/> <ml:id xml:space="preserve" subscript="e">Kδ</ml:id> <ml:apply> <ml:id xml:space="preserve">round</ml:id> <ml:apply> <ml:id 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xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="d.0009">C</ml:id> <ml:boundVars> <ml:id xml:space="preserve">y</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">linterp</ml:id> <ml:sequence> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="NACA09">α</ml:id> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="d.NACA09">C</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="16805" left="36" top="898.5" width="214.5" height="15.75" align-x="89.25" align-y="908.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="m.0009">C</ml:id> <ml:boundVars> <ml:id xml:space="preserve">y</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">linterp</ml:id> <ml:sequence> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="NACA09">α</ml:id> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="m.NACA09">C</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="17279" left="420" top="942" width="165.75" height="20.25" align-x="515.25" align-y="956.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="l.0009.Plain">C</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.08</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.0092363636363636259</ml:real> </result> </ml:eval> </math> </region> <region region-id="17072" left="228" top="976.5" width="421.5" height="24" align-x="237.75" align-y="986.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Data file for change in Cl for change in <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">d</inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">e </inlineAttr> </f>data for t/c = 0.09 only.<sp count="2"/>Taken from Fig. 9.10 of Nicolai. </text> </region> <region region-id="17075" left="240" top="1013.25" width="84.75" height="21" align-x="261.75" align-y="1028.25" show-border="false" 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height="21" align-x="150.75" align-y="1058.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="dδ.e">dCl</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="E">C</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">linterp</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="c">Ce</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="δ0009">dCl</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">rad</ml:id> <ml:real>-1</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="E">C</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="17080" left="144" top="1084.5" width="87.75" height="15.75" align-x="161.25" align-y="1094.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="e">C</ml:id> <ml:range> <ml:sequence> <ml:real>0.05</ml:real> <ml:real>0.10</ml:real> </ml:sequence> <ml:real>0.50</ml:real> </ml:range> </ml:define> </math> </region> <region region-id="17057" left="744" top="1039.5" width="65.25" height="116.25" align-x="765" align-y="1100.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="c">Ce</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="7" cols="1"> <ml:real>0.1</ml:real> <ml:real>0.15</ml:real> <ml:real>0.2</ml:real> <ml:real>0.25</ml:real> <ml:real>0.3</ml:real> <ml:real>0.4</ml:real> <ml:real>0.5</ml:real> </ml:matrix> </result> </ml:eval> </math> </region> <region region-id="17122" left="828" top="1045.5" width="89.25" height="116.25" align-x="868.5" align-y="1106.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="δ0009">dCl</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="7" cols="1"> <ml:real>2.5</ml:real> <ml:real>3.125</ml:real> <ml:real>3.625</ml:real> <ml:real>4</ml:real> <ml:real>4.375</ml:real> <ml:real>5.125</ml:real> <ml:real>5.625</ml:real> </ml:matrix> </result> </ml:eval> </math> </region> <region region-id="17079" left="66" top="1112.25" width="201" height="209.25" align-x="66" align-y="1112.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="34"/> </region> <region region-id="17084" left="318" top="1174.5" width="228" height="12" align-x="326.25" align-y="1184.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> This should be relatively close to Fig. 9.10 in Nicolai. </text> </region> <region region-id="17096" left="30" top="1329" width="192" height="14.25" align-x="30" align-y="1340.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">NACA 0009 Airfoil Summary Data:</inlineAttr> </f> </text> </region> <region region-id="17097" left="36" top="1366.5" width="60" height="15.75" align-x="77.25" align-y="1376.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="0009">T_C</ml:id> <ml:real>.09</ml:real> </ml:define> </math> </region> <region region-id="17098" left="144" top="1366.5" width="80.25" height="12" align-x="144" align-y="1376.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> thickness to chord </text> </region> <region region-id="17099" left="36" top="1384.5" width="82.5" height="15.75" align-x="90.75" align-y="1394.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="L.max.0009">C</ml:id> <ml:real>0.792</ml:real> </ml:define> </math> </region> <region region-id="17100" left="36" top="1402.5" width="86.25" height="15.75" align-x="89.25" align-y="1412.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="L.min.0009">C</ml:id> <ml:real>-0.792</ml:real> </ml:define> </math> </region> <region region-id="17147" left="36" top="1426.5" width="69" height="15.75" align-x="77.25" align-y="1436.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="OL0009">α</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="17150" left="36" top="1450.5" width="79.5" height="15.75" align-x="81" align-y="1460.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="stall0009">α</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>9.3</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="17278" left="42" top="1489.5" width="255" height="15.75" align-x="42" align-y="1502.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">NACA 0009 performance at Re=302,900</inlineAttr> </f> </text> </region> <region 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subscript="e">δ</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:neg/> <ml:apply> <ml:id xml:space="preserve" subscript="dδ.e">dCl</ml:id> <ml:id xml:space="preserve" subscript="E">C</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="lα.0009">C</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="e">δ</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="δe.FCE">K</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="E">C</ml:id> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="e">δ</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="17238" left="378" top="1612.5" width="326.25" height="24" align-x="387" align-y="1622.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Zero Lift angle of attack correction for a given ce/c and <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">d</inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">e, Page 9-9 Nicolai.</inlineAttr> </f> </text> </region> <region region-id="17239" left="378" top="1642.5" width="128.25" height="15.75" align-x="457.5" align-y="1652.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="OL">Δα</ml:id> <ml:sequence> <ml:real>0.4</ml:real> <ml:apply> <ml:mult style="auto-select"/> <ml:real>-5</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">deg</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>4.93593217915075</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="degree"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="17136" left="54" top="1681.5" width="65.25" height="116.25" align-x="87.75" align-y="1742.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="αstall">δe</ml:id> <ml:matrix rows="7" cols="1"> <ml:real>0</ml:real> <ml:real>10</ml:real> <ml:real>20</ml:real> <ml:real>30</ml:real> <ml:real>40</ml:real> <ml:real>50</ml:real> <ml:real>60</ml:real> </ml:matrix> 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</ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>-19.5</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>20</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:range> </ml:define> </math> </region> <region region-id="16813" left="318" top="2888.25" width="324.75" height="208.5" align-x="318" align-y="2888.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="38"/> </region> <region region-id="16814" left="24" top="2894.25" width="234" height="196.5" align-x="24" align-y="2894.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="39"/> </region> <region region-id="16815" left="318" top="3098.25" width="336" height="205.5" align-x="318" align-y="3098.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="40"/> </region> <region region-id="16816" left="24" top="3104.25" width="246" height="196.5" align-x="24" align-y="3104.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="41"/> </region> </area> <rendering item-idref="42"/> </region> <region region-id="17297" left="6" top="2340" width="115.5" height="15.75" align-x="6" align-y="2352.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> NACA 0012 Airfoil </f> </text> </region> <region region-id="17337" left="0" top="2361" width="6008.25" align-x="0" align-y="2361" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="1574.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="17290" bottom-lock-id="17293"> <region region-id="16824" left="186" top="23.25" width="107.25" height="21" align-x="231" align-y="38.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="horz.tail">x1</ml:id> <ml:apply> <ml:matcol/> <ml:id xml:space="preserve" subscript="0012">Coord</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="16825" left="186" top="47.25" width="107.25" height="21" align-x="231" align-y="62.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="horz.tail">y1</ml:id> <ml:apply> <ml:matcol/> <ml:id xml:space="preserve" subscript="0012">Coord</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="16826" left="24" top="92.25" width="627" height="280.5" align-x="24" align-y="92.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="43"/> </region> <region region-id="16827" left="18" top="523.5" width="353.25" height="15.75" align-x="30.75" align-y="536.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">NACA 0012 performance at approximately Re=200,000</inlineAttr> </f> </text> 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<ml:real>0</ml:real> </ml:otherwise> </ml:program> </ml:define> </math> </region> <region region-id="16831" left="48" top="795" width="192" height="14.25" align-x="48" align-y="806.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">NACA 0012 Airfoil Summary Data:</inlineAttr> </f> </text> </region> <region region-id="16832" left="54" top="832.5" width="69" height="15.75" align-x="95.25" align-y="842.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="0012">T_C</ml:id> <ml:real>.1283</ml:real> </ml:define> </math> </region> <region region-id="16833" left="162" top="832.5" width="80.25" height="12" align-x="162" align-y="842.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> thickness to chord </text> </region> <region region-id="16834" left="54" top="856.5" width="69" height="15.75" align-x="108.75" align-y="866.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="L.max.0012">C</ml:id> <ml:real>.9</ml:real> </ml:define> </math> </region> <region region-id="16835" left="54" top="880.5" width="77.25" height="15.75" align-x="107.25" align-y="890.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="L.min.0012">C</ml:id> <ml:real>-0.9</ml:real> </ml:define> </math> </region> <region region-id="16836" left="36" top="1015.5" width="353.25" height="15.75" align-x="36" align-y="1028.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">NACA 0012 performance at approximately Re=200,000</inlineAttr> </f> </text> </region> <region region-id="16837" left="36" top="1076.25" width="297.75" height="225" align-x="36" align-y="1076.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="44"/> </region> <region region-id="16838" left="372" top="1076.25" width="294.75" height="207.75" align-x="372" align-y="1076.25" 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Barbour II </text> </region> <region region-id="17281" left="12" top="498.75" width="791.25" height="10.5" align-x="11.25" align-y="498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <reference> <originRef doc-id="d4a42c15-7dc4-4eb1-b98f-0040348eb27e" version-id="a3e33d4b-4f26-44ed-8306-1b0432c841f1" branch-id="00000000-0000-0000-0000-000000000000" revision-num="7" is-modified="true" region-id="0" href="C:\Documents and Settings\Charles W. 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<inlineAttr line-through="false">Trailing Edge Flap Corrections</inlineAttr> </f> </text> </region> <region region-id="17331" left="0" top="566.25" width="6008.25" align-x="0" align-y="566.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="537"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="17329" bottom-lock-id="17300"> <region region-id="17316" left="162" top="23.25" width="344.25" height="12" align-x="171.75" align-y="33" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Data file for non-linear correction factor (K') data.<sp count="2"/>Taken from Fig. 9.9 of Nicolai. </text> </region> <region region-id="17317" left="96" top="66" width="56.25" height="21" align-x="118.5" align-y="81" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="e.K">δ</ml:id> <ml:apply> <ml:matcol/> <ml:id xml:space="preserve" subscript="e">Kδ</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="17318" left="204" top="72" width="195.75" height="21" align-x="253.5" align-y="87" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">Index</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="E">C</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:real>-21.471</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="E">C</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>27.985</ml:real> <ml:id xml:space="preserve" subscript="E">C</ml:id> </ml:apply> </ml:apply> <ml:real>1.6483</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="17319" left="102" top="105.75" width="135" height="23.25" align-x="135" align-y="123" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">K</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="E">C</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:matcol/> <ml:id xml:space="preserve" subscript="e">Kδ</ml:id> <ml:apply> <ml:id xml:space="preserve">round</ml:id> <ml:apply> <ml:id xml:space="preserve">Index</ml:id> <ml:id xml:space="preserve" subscript="E">C</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="17320" left="384" top="113.25" width="147" height="12" align-x="416.25" align-y="123" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Reconstructing Fig. 9.9 of Nicolai. </text> </region> <region region-id="17321" left="42" top="143.25" width="198.75" height="15.75" align-x="114.75" align-y="153" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="δe.FCE">K</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="E">C</ml:id> <ml:id xml:space="preserve" subscript="e">δ</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">linterp</ml:id> <ml:sequence> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="e.K">δ</ml:id> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">K</ml:id> <ml:id xml:space="preserve" subscript="E">C</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="e">δ</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="17322" left="342" top="161.25" width="119.25" height="13.5" align-x="357" align-y="171" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">δe</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10.5</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>60</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:range> </ml:define> </math> </region> <region region-id="17323" left="756" top="124.5" width="270.75" height="99" align-x="776.25" align-y="177" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="e">Kδ</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="6" cols="8"> <ml:real>10</ml:real> <ml:real>20</ml:real> <ml:real>30</ml:real> <ml:real>40</ml:real> <ml:real>50</ml:real> <ml:real>60</ml:real> <ml:real>1</ml:real> <ml:real>0.9</ml:real> <ml:real>0.715</ml:real> <ml:real>0.65</ml:real> <ml:real>0.6</ml:real> <ml:real>0.575</ml:real> <ml:real>1</ml:real> <ml:real>0.89</ml:real> <ml:real>0.7</ml:real> <ml:real>0.62</ml:real> <ml:real>0.575</ml:real> <ml:real>0.54</ml:real> <ml:real>1</ml:real> <ml:real>0.875</ml:real> <ml:real>0.675</ml:real> <ml:real>0.6</ml:real> <ml:real>0.55</ml:real> <ml:real>0.51</ml:real> <ml:real>1</ml:real> <ml:real>0.85</ml:real> <ml:real>0.65</ml:real> <ml:real>0.575</ml:real> <ml:real>0.525</ml:real> <ml:real>0.4875</ml:real> <ml:real>1</ml:real> <ml:real>0.8</ml:real> <ml:real>0.6125</ml:real> <ml:real>0.55</ml:real> <ml:real>0.5</ml:real> <ml:real>0.4625</ml:real> <ml:real>1</ml:real> <ml:real>0.75</ml:real> <ml:real>0.575</ml:real> <ml:real>0.515</ml:real> <ml:real>0.475</ml:real> <ml:real>0.4375</ml:real> <ml:real>1</ml:real> <ml:real>0.7</ml:real> <ml:real>0.55</ml:real> <ml:real>0.49</ml:real> <ml:real>0.45</ml:real> <ml:real>0.425</ml:real> </ml:matrix> </result> </ml:eval> </math> </region> <region region-id="17324" left="42" top="183" width="283.5" height="335.25" align-x="42" align-y="183" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="3"/> </region> <region region-id="17325" left="714" top="238.5" width="59.25" height="99" align-x="735.75" align-y="291" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="e.K">δ</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="6" cols="1"> <ml:real>10</ml:real> <ml:real>20</ml:real> <ml:real>30</ml:real> <ml:real>40</ml:real> <ml:real>50</ml:real> <ml:real>60</ml:real> </ml:matrix> </result> </ml:eval> </math> </region> <region region-id="17326" left="834" top="238.5" width="84.75" height="99" align-x="870" align-y="291" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">K</ml:id> <ml:real>0.15</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="6" cols="1"> <ml:real>1</ml:real> <ml:real>0.89</ml:real> <ml:real>0.7</ml:real> <ml:real>0.62</ml:real> <ml:real>0.575</ml:real> <ml:real>0.54</ml:real> </ml:matrix> </result> </ml:eval> </math> </region> <region region-id="17327" left="360" top="287.25" width="228" height="12" align-x="368.25" align-y="297" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> This should match Fig. 9.9 of Nicolai relatively close. </text> </region> </area> <rendering item-idref="4"/> </region> <region region-id="17295" left="6" top="591" width="124.5" height="15.75" align-x="6" align-y="603.75" 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charset="0" size="14"> <inlineAttr line-through="false">NACA 0009 performance at<sp count="2"/>Re=302,900</inlineAttr> </f> </text> </region> <region region-id="17272" left="24" top="481.5" width="186.75" height="355.5" align-x="87" align-y="662.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="NACA09">αClCd</ml:id> <ml:matrix rows="20" cols="4"> <ml:real>-9.3</ml:real> <ml:real>-9.27</ml:real> <ml:real>-8.25</ml:real> <ml:real>-7.23</ml:real> <ml:real>-6.22</ml:real> <ml:real>-5.21</ml:real> <ml:real>-4.19</ml:real> <ml:real>-3.17</ml:real> <ml:real>-2.14</ml:real> <ml:real>-1.10</ml:real> <ml:real>1.10</ml:real> <ml:real>2.14</ml:real> <ml:real>3.17</ml:real> <ml:real>4.19</ml:real> <ml:real>5.21</ml:real> <ml:real>6.22</ml:real> <ml:real>7.23</ml:real> <ml:real>8.25</ml:real> 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xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="d.0009">C</ml:id> <ml:boundVars> <ml:id xml:space="preserve">y</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">linterp</ml:id> <ml:sequence> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="NACA09">α</ml:id> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="d.NACA09">C</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="16805" left="36" top="898.5" width="214.5" height="15.75" align-x="89.25" align-y="908.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="m.0009">C</ml:id> <ml:boundVars> <ml:id xml:space="preserve">y</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">linterp</ml:id> <ml:sequence> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="NACA09">α</ml:id> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="m.NACA09">C</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="17279" left="420" top="942" width="165.75" height="20.25" align-x="515.25" align-y="956.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="l.0009.Plain">C</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.08</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.0092363636363636259</ml:real> </result> </ml:eval> </math> </region> <region region-id="17072" left="228" top="976.5" width="421.5" height="24" align-x="237.75" align-y="986.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Data file for change in Cl for change in <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">d</inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">e </inlineAttr> </f>data for t/c = 0.09 only.<sp count="2"/>Taken from Fig. 9.10 of Nicolai. </text> </region> <region region-id="17075" left="240" top="1013.25" width="84.75" height="21" align-x="261.75" align-y="1028.25" show-border="false" 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disable-calc="false" item-idref="34"/> </region> <region region-id="17084" left="318" top="1174.5" width="228" height="12" align-x="326.25" align-y="1184.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> This should be relatively close to Fig. 9.10 in Nicolai. </text> </region> <region region-id="17096" left="30" top="1329" width="192" height="14.25" align-x="30" align-y="1340.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">NACA 0009 Airfoil Summary Data:</inlineAttr> </f> </text> </region> <region region-id="17097" left="36" top="1366.5" width="60" height="15.75" align-x="77.25" align-y="1376.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="0009">T_C</ml:id> <ml:real>.09</ml:real> </ml:define> </math> </region> <region region-id="17098" left="144" top="1366.5" width="80.25" height="12" align-x="144" align-y="1376.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> thickness to chord </text> </region> <region region-id="17099" left="36" top="1384.5" width="82.5" height="15.75" align-x="90.75" align-y="1394.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="L.max.0009">C</ml:id> 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</ml:define> </math> </region> <region region-id="17150" left="36" top="1450.5" width="79.5" height="15.75" align-x="81" align-y="1460.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="stall0009">α</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>9.3</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="17278" left="42" top="1489.5" width="255" height="15.75" align-x="42" align-y="1502.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false">NACA 0009 performance at Re=302,900</inlineAttr> </f> </text> </region> <region 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background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Zero Lift angle of attack correction for a given ce/c and <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">d</inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">e, Page 9-9 Nicolai.</inlineAttr> </f> </text> </region> <region region-id="17239" left="378" top="1642.5" width="128.25" height="15.75" align-x="457.5" align-y="1652.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="OL">Δα</ml:id> <ml:sequence> <ml:real>0.4</ml:real> <ml:apply> <ml:mult style="auto-select"/> <ml:real>-5</ml:real> <ml:id 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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="40"/> </region> <region region-id="16816" left="24" top="3104.25" width="246" height="196.5" align-x="24" align-y="3104.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="41"/> </region> </area> <rendering item-idref="42"/> </region> <region region-id="17297" left="6" top="2340" width="115.5" height="15.75" align-x="6" align-y="2352.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> NACA 0012 Airfoil </f> </text> </region> <region region-id="17337" left="0" top="2361" width="6008.25" align-x="0" align-y="2361" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" 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