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xml:space="preserve">λ</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.31830988618379064</ml:real> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="246" left="396" top="177" width="48" height="16.5" align-x="410.25" align-y="186" show-border="false" show-highlight="true" 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="t">C</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.59939202630609645</ml:real> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="249" left="18" top="200.25" width="299.25" height="12" align-x="36.75" align-y="210" 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"> Therefore efficiency from the diagram is 80% (+/- 10%) is acceptable. </text> </region> <region region-id="251" left="6" top="272.25" width="11.25" height="12" align-x="9" align-y="282" 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"> 2. </text> </region> <region region-id="285" left="30" top="247.5" width="86.25" height="46.5" align-x="46.5" align-y="282" 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="r">ω</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="s">V</ml:id> <ml:parens> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:mult style="auto-select"/> <ml:id xml:space="preserve">π</ml:id> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">r</ml:id> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:parens> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="284" left="120" top="260.25" width="185.25" height="43.5" align-x="148.5" align-y="288" 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="star">V</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="s">V</ml:id> <ml:parens> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="t">U</ml:id> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="r">ω</ml:id> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="a">U</ml:id> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="a">V</ml:id> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="288" left="30" top="319.5" width="91.5" height="51" align-x="48" align-y="336" 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="L">C</ml:id> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">G</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:mult style="default"/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="star">V</ml:id> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="1">C</ml:id> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="289" left="186" top="339" width="50.25" height="16.5" align-x="202.5" align-y="348" show-border="false" show-highlight="true" 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="L">C</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.20382954351208565</ml:real> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="94" left="12" top="416.25" width="276.75" height="15" align-x="12" align-y="426" 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"> From the NACA table a=.08, the max fo <inlineAttr>/c is 6.79% for a C</inlineAttr> L <inlineAttr>=1.0</inlineAttr> </text> </region> <region region-id="98" left="60" top="441" width="126" height="12.75" align-x="157.5" align-y="450" 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">f0_over_c_at_Cl_of_1</ml:id> <ml:real>.0679</ml:real> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="96" left="54" top="471" width="169.5" height="16.5" align-x="102.75" align-y="480" 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">fo_over_c</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="L">C</ml:id> <ml:parens> <ml:id xml:space="preserve">f0_over_c_at_Cl_of_1</ml:id> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="100" left="24" top="501" width="81" height="12.75" align-x="71.25" align-y="510" show-border="false" show-highlight="true" 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">fo_over_c</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.013840026004470617</ml:real> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="101" left="6" top="524.25" width="215.25" height="12" align-x="6" align-y="534" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> From the NACA table, alpha ideal is 1.54 degrees </text> </region> <region region-id="115" left="36" top="548.25" width="57.75" height="17.25" align-x="51.75" align-y="558" 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="i">α</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>1.54</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="103" left="0" top="620.25" width="8.25" height="12" align-x="1.5" align-y="630" 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"> 3. </text> </region> <region region-id="113" left="18" top="644.25" width="71.25" height="12" align-x="18" align-y="654" 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"> From PVL table: </text> </region> <region region-id="114" left="114" top="644.25" width="63" height="17.25" align-x="129" align-y="654" 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="i">β</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>29.795</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="108" left="6" top="668.25" width="51.75" height="17.25" align-x="20.25" align-y="678" 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">Θ</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="i">β</ml:id> <ml:id xml:space="preserve" subscript="i">α</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="119" left="204" top="684" width="165" height="109.5" align-x="204" align-y="684" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <metafile mapping-mode="8" x-extent="163.389" y-extent="108.2551" item-idref="35"/> <rendering item-idref="36"/> </region> <region region-id="117" left="66" top="692.25" width="61.5" height="13.5" align-x="78.75" align-y="702" 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">Θ</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">deg</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>31.335000000000004</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="degree"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> <region region-id="120" left="12" top="740.25" width="71.25" height="13.5" align-x="24" align-y="750" 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">P</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">r</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">Θ</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="121" left="12" top="765" width="39.75" height="16.5" align-x="25.5" align-y="774" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="122" left="12" top="787.5" width="147.75" height="32.25" align-x="93" align-y="804" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:equal/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">D</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">r</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">Θ</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">π</ml:id> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">r</ml:id> <ml:id xml:space="preserve">R</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">Θ</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="40"/> </region> <region region-id="125" left="12" top="824.25" width="108.75" height="31.5" align-x="59.25" align-y="840" 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">P_over_D</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">r</ml:id> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">Θ</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="309" left="12" top="867" width="79.5" height="12.75" align-x="57.75" align-y="876" show-border="false" show-highlight="true" 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">P_over_D</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.3331852031511497</ml:real> </result> </ml:eval> </math> <rendering item-idref="42"/> </region> <region region-id="294" left="6" top="908.25" width="14.25" height="12" align-x="9" align-y="918" 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"> 4.<sp count="2"/> </text> </region> <region region-id="299" left="42" top="915" width="72" height="16.5" align-x="90" align-y="924" 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="o_over_c">t</ml:id> <ml:real>.014</ml:real> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="297" left="138" top="915" width="81" height="12.75" align-x="185.25" align-y="924" 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">fo_over_c</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.013840026004470617</ml:real> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="298" left="240" top="915" width="66.75" height="16.5" align-x="287.25" align-y="924" 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="pmin">negC</ml:id> <ml:real>.25</ml:real> </ml:define> </math> <rendering item-idref="45"/> </region> <region region-id="170" left="18" top="944.25" width="72.75" height="31.5" align-x="30" align-y="960" 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">h</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:mult style="default"/> <ml:real>8</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">r</ml:id> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="172" left="144" top="963" width="52.5" height="12.75" align-x="154.5" align-y="972" 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">h</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>6.2575</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="47"/> </region> <region region-id="173" left="18" top="980.25" width="76.5" height="27.75" align-x="45" align-y="996" 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="star">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>31.162674370886208</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="48"/> </region> <region region-id="311" left="144" top="992.25" width="87" height="17.25" align-x="168" align-y="1002" 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="inf">P</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="atm">P</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">ρ</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="312" left="276" top="993" width="93" height="22.5" align-x="298.5" align-y="1008" 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="inf">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>162506.01703787502</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="50"/> </region> <region region-id="313" left="12" top="1036.5" width="90" height="46.5" align-x="44.25" align-y="1056" 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="local">σ</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="inf">P</ml:id> <ml:id xml:space="preserve" subscript="v">P</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">ρ</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="star">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="51"/> </region> <region region-id="314" left="126" top="1046.25" width="64.5" height="17.25" align-x="156.75" align-y="1056" show-border="false" show-highlight="true" 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="local">σ</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.3305230173318694</ml:real> </result> </ml:eval> </math> <rendering item-idref="52"/> </region> <region region-id="315" left="18" top="1100.25" width="129.75" height="17.25" align-x="124.5" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">negCpmin</ml:id> <ml:apply> <ml:lessThan/> <ml:real>.25</ml:real> <ml:id xml:space="preserve" subscript="local">σ</ml:id> </ml:apply> </ml:apply> <ml:real>.331</ml:real> </ml:apply> </math> <rendering item-idref="53"/> </region> <region region-id="316" left="24" top="1136.25" width="96.75" height="12" align-x="24" align-y="1146" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Therefore no cavitation </text> </region> </regions> <binaryContent> <item item-id="1" content-encoding="gzip">H4sIAAAAAAAA/4yNvQ6CQBCEdzlQwd/GGhMbj9InsCBWJj6CnvifEA1SWPrm5+yCvUf2GGa/ GQZExBiHSVQb3OPjcnep3PO6Oz+q0tURyZljYrVzVzu1aIHplcX2cD8VdWPtmxcFM1ym7Z9K 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xml:space="preserve" subscript="1">C</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>.34696</ml:real> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="278" left="318" top="92.25" width="71.25" height="17.25" align-x="331.5" align-y="102" 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="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Γ</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> <ml:id xml:space="preserve">G</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="306" left="6" top="123" width="72" height="16.5" align-x="32.25" align-y="132" 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="atm">P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>101325</ml:real> <ml:id xml:space="preserve">Pa</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="234" left="6" top="146.25" width="11.25" height="12" align-x="9" align-y="156" 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"> 1. </text> </region> <region region-id="239" left="42" top="151.5" width="61.5" height="28.5" align-x="61.5" align-y="168" 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="o">A</ml:id> <ml:apply> <ml:mult style="default"/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:parens> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="240" left="144" top="159" width="36" height="16.5" align-x="161.25" align-y="168" 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="a">V</ml:id> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="242" left="216" top="148.5" width="77.25" height="41.25" align-x="231.75" align-y="168" 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="t">C</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="req">T</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.5</ml:real> <ml:id xml:space="preserve">ρ</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="o">A</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="a">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="243" left="318" top="148.5" width="44.25" height="32.25" align-x="330" align-y="168" 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">λ</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="a">V</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:id xml:space="preserve">π</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="244" left="396" top="158.25" width="44.25" height="13.5" align-x="406.5" align-y="168" show-border="false" show-highlight="true" 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">λ</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.31830988618379064</ml:real> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="246" left="396" top="177" width="48" height="16.5" align-x="410.25" align-y="186" show-border="false" show-highlight="true" 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="t">C</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.59939202630609645</ml:real> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="249" left="18" top="200.25" width="299.25" height="12" align-x="36.75" align-y="210" 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"> Therefore efficiency from the diagram is 80% (+/- 10%) is acceptable. </text> </region> <region region-id="251" left="6" top="272.25" width="11.25" height="12" align-x="9" align-y="282" 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"> 2. </text> </region> <region region-id="285" left="30" top="247.5" width="86.25" height="46.5" align-x="46.5" align-y="282" 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="r">ω</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="s">V</ml:id> <ml:parens> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:mult style="auto-select"/> <ml:id xml:space="preserve">π</ml:id> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">r</ml:id> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:parens> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="284" left="120" top="260.25" width="185.25" height="43.5" align-x="148.5" align-y="288" 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="star">V</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="s">V</ml:id> <ml:parens> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="t">U</ml:id> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="r">ω</ml:id> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="a">U</ml:id> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="a">V</ml:id> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="288" left="30" top="319.5" width="91.5" height="51" align-x="48" align-y="336" 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="L">C</ml:id> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">G</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:mult style="default"/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="star">V</ml:id> <ml:id xml:space="preserve" subscript="s">V</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="1">C</ml:id> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="289" left="186" top="339" width="50.25" height="16.5" align-x="202.5" align-y="348" show-border="false" show-highlight="true" 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="L">C</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.20382954351208565</ml:real> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="94" left="12" top="416.25" width="276.75" height="15" align-x="12" align-y="426" 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"> From the NACA table a=.08, the max fo <inlineAttr>/c is 6.79% for a C</inlineAttr> L <inlineAttr>=1.0</inlineAttr> </text> </region> <region region-id="98" left="60" top="441" width="126" height="12.75" align-x="157.5" align-y="450" 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">f0_over_c_at_Cl_of_1</ml:id> <ml:real>.0679</ml:real> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="96" left="54" top="471" width="169.5" height="16.5" align-x="102.75" align-y="480" 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">fo_over_c</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="L">C</ml:id> <ml:parens> <ml:id xml:space="preserve">f0_over_c_at_Cl_of_1</ml:id> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="100" left="24" top="501" width="81" height="12.75" align-x="71.25" align-y="510" show-border="false" show-highlight="true" 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">fo_over_c</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.013840026004470617</ml:real> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="101" left="6" top="524.25" width="215.25" height="12" align-x="6" align-y="534" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> From the NACA table, alpha ideal is 1.54 degrees </text> </region> <region region-id="115" left="36" top="548.25" width="57.75" height="17.25" align-x="51.75" align-y="558" 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="i">α</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>1.54</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="103" left="0" top="620.25" width="8.25" height="12" align-x="1.5" align-y="630" 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"> 3. </text> </region> <region region-id="113" left="18" top="644.25" width="71.25" height="12" align-x="18" align-y="654" 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"> From PVL table: </text> </region> <region region-id="114" left="114" top="644.25" width="63" height="17.25" align-x="129" align-y="654" 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="i">β</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>29.795</ml:real> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="108" left="6" top="668.25" width="51.75" height="17.25" align-x="20.25" align-y="678" 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">Θ</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="i">β</ml:id> <ml:id xml:space="preserve" subscript="i">α</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="119" left="204" top="684" width="165" height="109.5" align-x="204" align-y="684" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <metafile mapping-mode="8" x-extent="163.389" y-extent="108.2551" item-idref="35"/> <rendering item-idref="36"/> </region> <region region-id="117" left="66" top="692.25" width="61.5" height="13.5" align-x="78.75" align-y="702" 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">Θ</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">deg</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>31.335000000000004</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="degree"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> <region region-id="120" left="12" top="740.25" width="71.25" height="13.5" align-x="24" align-y="750" 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">P</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">r</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">Θ</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="121" left="12" top="765" width="39.75" height="16.5" align-x="25.5" align-y="774" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="122" left="12" top="787.5" width="147.75" height="32.25" align-x="93" align-y="804" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:equal/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">D</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">r</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">Θ</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">π</ml:id> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">r</ml:id> <ml:id xml:space="preserve">R</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">Θ</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="40"/> </region> <region region-id="125" left="12" top="824.25" width="108.75" height="31.5" align-x="59.25" align-y="840" 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">P_over_D</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">r</ml:id> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">Θ</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="309" left="12" top="867" width="79.5" height="12.75" align-x="57.75" align-y="876" show-border="false" show-highlight="true" 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">P_over_D</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.3331852031511497</ml:real> 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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">fo_over_c</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.013840026004470617</ml:real> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="298" left="240" top="915" width="66.75" height="16.5" align-x="287.25" align-y="924" 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="pmin">negC</ml:id> <ml:real>.25</ml:real> </ml:define> </math> <rendering item-idref="45"/> </region> <region region-id="170" left="18" top="944.25" width="72.75" height="31.5" align-x="30" align-y="960" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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style="default"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">ρ</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="star">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="51"/> </region> <region region-id="314" left="126" top="1046.25" width="64.5" height="17.25" align-x="156.75" align-y="1056" show-border="false" show-highlight="true" 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="local">σ</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.3305230173318694</ml:real> </result> </ml:eval> </math> <rendering item-idref="52"/> </region> <region region-id="315" left="18" top="1100.25" width="129.75" height="17.25" align-x="124.5" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">negCpmin</ml:id> <ml:apply> <ml:lessThan/> <ml:real>.25</ml:real> <ml:id xml:space="preserve" subscript="local">σ</ml:id> </ml:apply> </ml:apply> <ml:real>.331</ml:real> </ml:apply> </math> <rendering item-idref="53"/> </region> <region region-id="316" left="24" top="1136.25" width="96.75" height="12" align-x="24" align-y="1146" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Therefore no cavitation </text> </region> </regions> <binaryContent> <item item-id="1" content-encoding="gzip">H4sIAAAAAAAA/4yNvQ6CQBCEdzlQwd/GGhMbj9InsCBWJj6CnvifEA1SWPrm5+yCvUf2GGa/ 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