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background-color="#0f0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="28"> <inlineAttr line-through="false"> <c val="#000080">Piston Engine Model</c> </inlineAttr> </f> </text> </region> <region region-id="3188" left="258" top="122.25" width="188.25" height="12" align-x="268.5" align-y="132" 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"> Last edited 3/9/2006 by Raymond Wagner </text> </region> <region region-id="2784" left="90" top="366.75" width="518.25" height="38.25" align-x="97.5" align-y="378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="12"> <c val="#000">Introduction</c> </f> This code allows one to calculate the characteristics of a certain class of 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xml:space="preserve" subscript="b.s">R</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="c">n</ml:id> </ml:apply> </ml:apply> </math> </region> <region region-id="2804" left="312" top="195" width="43.5" height="22.5" align-x="329.25" align-y="210" 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="d">V</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.9</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="2790" left="414" top="200.25" width="120" height="12" align-x="423.75" align-y="210" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#89fecf" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: Sets Power of Engine </text> </region> <region region-id="2499" left="6" top="236.25" width="66.75" height="24" align-x="15" align-y="246" 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"> <inlineAttr line-through="false">Cylinder Bore</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">Piston Stroke</inlineAttr> </f> </text> </region> <region region-id="2518" left="204" top="230.25" width="36" height="27.75" align-x="224.25" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="b.s">R</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">B</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:apply> </math> </region> <region region-id="2497" left="312" top="230.25" width="40.5" height="27.75" align-x="336" align-y="246" 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:id xml:space="preserve" subscript="b.s">R</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">B</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="3152" left="654" top="243" width="56.25" height="16.5" align-x="677.25" align-y="252" 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="b.s">R</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.1385416666666666</ml:real> </result> </ml:eval> </math> </region> <region region-id="778" left="6" top="302.25" width="225" height="42" align-x="21" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0"> <inlineAttr line-through="false">Number of Crank Revolutions per Power Stroke</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">2-Stroke: n</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false"> R </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false"> = 1 rev</inlineAttr> </f> <inlineAttr line-through="false"> <f family="Arial" charset="0"> 4-Stroke: n </f> </inlineAttr> <inlineAttr font-style="normal" underline="false" line-through="false"> <f family="Arial" charset="0" size="10">R</f> </inlineAttr> <f family="Arial" charset="0"> <inlineAttr line-through="false"> = 2 rev</inlineAttr> </f> </text> </region> <region region-id="1758" left="312" top="303" width="29.25" height="16.5" align-x="329.25" align-y="312" 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="R">n</ml:id> <ml:real>1</ml:real> </ml:define> </math> </region> </area> <rendering item-idref="3"/> </region> <region region-id="782" left="6" top="714.75" width="681.75" height="14.25" align-x="13.5" align-y="726" 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="12"> <c val="#000">Engine Max Rated Power Conditions<sp count="156"/> </c> </f> <f size="12"> <c val="#00f"> <sp/> </c> </f> </text> </region> <region region-id="3237" left="0" top="729" width="6008.25" align-x="8.25" align-y="738" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="212.25"> <area is-collapsed="false" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="3237" bottom-lock-id="3219" bottom-tag=""> <region region-id="3157" left="6" top="740.25" width="166.5" height="12" align-x="27" align-y="750" 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"> <inlineAttr line-through="false">Rated Crankshaft Rotational Speed</inlineAttr> </f> </text> </region> <region region-id="3158" left="312" top="741" width="61.5" height="16.5" align-x="328.5" align-y="750" 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="r">N</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10000</ml:real> <ml:id xml:space="preserve">rpm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="1080" left="6" top="770.25" width="159" height="24" align-x="16.5" align-y="780" 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"> <inlineAttr line-through="false">Rated Mean Piston Speed</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr font-weight="normal" line-through="false">at Rated Max Power</inlineAttr> </f> </text> </region> <region region-id="1761" left="204" top="771" width="45.75" height="16.5" align-x="219.75" align-y="780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="p">S</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="5"/> </region> <region region-id="918" left="312" top="771" width="55.5" height="16.5" align-x="333.75" align-y="780" 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:id xml:space="preserve" subscript="p.r">S</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="r">N</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="3162" left="636" top="764.25" width="69" height="27.75" align-x="657" align-y="780" 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="p.r">S</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>26.666666666666664</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="7"/> </region> <region region-id="3271" left="18" top="800.25" width="70.5" height="12" align-x="36" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#8080c0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Heywood pg 50 </text> </region> <region region-id="3272" left="324" top="800.25" width="48" height="13.5" align-x="335.25" align-y="810" 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="WarnRedefinedBIConstant" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">π</ml:id> <ml:real>3.14159</ml:real> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="3273" left="6" top="818.25" width="156.75" height="12" align-x="15.75" align-y="828" 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"> <inlineAttr line-through="false">Brake Power, </inlineAttr> </f> Rated Max Power </text> </region> <region region-id="3274" left="324" top="819" width="43.5" height="16.5" align-x="338.25" align-y="828" 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="r">P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2.5</ml:real> <ml:id xml:space="preserve">hp</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="3275" left="612" top="819" width="43.5" height="16.5" align-x="625.5" align-y="828" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="r">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">hp</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>2.5</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="horsepower"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="10"/> </region> <region region-id="3276" left="756" top="812.25" width="39.75" height="27.75" align-x="774" align-y="828" 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="f">oz</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:real>16</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="3281" left="6" top="854.25" width="127.5" height="12" align-x="19.5" align-y="864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0"> <inlineAttr line-through="false">Torque, </inlineAttr> </f> Rated Max Power <sp/> </text> </region> <region region-id="3282" left="324" top="844.5" width="51.75" height="36" align-x="339" align-y="864" 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:id xml:space="preserve" subscript="r">T</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="r">P</ml:id> <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="r">N</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="3283" left="612" top="855" width="61.5" height="16.5" align-x="626.25" align-y="864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="r">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>1.3130293895766159</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="13"/> </region> <region region-id="3284" left="744" top="861" width="74.25" height="16.5" align-x="758.25" align-y="870" 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="r">T</ml:id> <ml:unitOverride> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">in</ml:id> <ml:id xml:space="preserve" subscript="f">oz</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>252.10164279871029</ml:real> </result> </ml:eval> </math> <rendering item-idref="14"/> </region> <region region-id="3199" left="6" top="884.25" width="59.25" height="12" align-x="16.5" align-y="894" 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"> Engine Mass </text> </region> <region region-id="3200" left="312" top="885" width="67.5" height="16.5" align-x="354" align-y="894" 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="engine">M</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>20</ml:real> <ml:id xml:space="preserve">oz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="3202" left="6" top="908.25" width="63.75" height="12" align-x="21.75" 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"> Exhaust Mass </text> </region> <region region-id="3203" left="312" top="909" width="66.75" height="16.5" align-x="357.75" align-y="918" 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="exhaust">M</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>8</ml:real> <ml:id xml:space="preserve">oz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> </area> <rendering item-idref="17"/> </region> <region region-id="3236" left="6" top="959.25" width="688.5" height="15.75" align-x="6" align-y="972" 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"> <c val="#000">Engine Cycle Mean Effective Pressures<sp count="112"/> </c> </inlineAttr> </f> </text> </region> <region region-id="3341" left="0" top="984" width="6008.25" align-x="0" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="536.25"> <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="3244" bottom-lock-id="3223"> <region region-id="3179" left="6" top="20.25" width="147.75" height="24" align-x="15.75" align-y="30" 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"> <inlineAttr line-through="false">Brake Mean Effective Pressure,</inlineAttr> </f> Rated Max Power </text> </region> <region region-id="3181" left="324" top="9.75" width="80.25" height="36" align-x="354.75" align-y="30" 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:id xml:space="preserve" subscript="r">bmep</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="r">T</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="R">n</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="d">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="3183" left="612" top="21" width="63.75" height="16.5" align-x="642" align-y="30" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="r">bmep</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>110.00000000000003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2887" left="6" top="62.25" width="36.75" height="12" align-x="13.5" align-y="72" 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"> <inlineAttr line-through="false">Ratio of</inlineAttr> </f> </text> </region> <region region-id="2888" left="48" top="62.25" width="76.5" height="24" align-x="55.5" align-y="72" 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"> <inlineAttr line-through="false">max torque rpm</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">max power rpm</inlineAttr> </f> </text> </region> <region region-id="2889" left="204" top="54" width="45" height="32.25" align-x="229.5" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="N.t.r">R</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="t">N</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> </ml:apply> </math> </region> <region region-id="2890" left="324" top="63" width="49.5" height="16.5" align-x="354.75" align-y="72" 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="N.mt">R</ml:id> <ml:real>.01</ml:real> </ml:define> </math> </region> <region region-id="2891" left="6" top="98.25" width="36.75" height="12" align-x="13.5" align-y="108" 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"> <inlineAttr line-through="false">Ratio of</inlineAttr> </f> </text> </region> <region region-id="2892" left="48" top="98.25" width="58.5" height="24" align-x="54" align-y="108" 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"> <inlineAttr line-through="false">max torque</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">rated torque</inlineAttr> </f> </text> </region> <region region-id="2893" left="324" top="99" width="51" height="16.5" align-x="356.25" align-y="108" 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="T.m.r">R</ml:id> <ml:real>1.5</ml:real> </ml:define> </math> </region> <region region-id="2894" left="204" top="96" width="47.25" height="32.25" align-x="229.5" align-y="114" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="T.t.r">R</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="m">T</ml:id> <ml:id xml:space="preserve" subscript="r">T</ml:id> </ml:apply> </ml:apply> </math> </region> <region region-id="2895" left="6" top="134.25" width="93.75" height="12" align-x="12" align-y="144" 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"> <inlineAttr line-through="false">RPM at Max Torque</inlineAttr> </f> </text> </region> <region region-id="2896" left="324" top="135" width="69" height="16.5" align-x="347.25" align-y="144" show-border="false" show-highlight="false" 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:id xml:space="preserve" subscript="mt">N</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="r">N</ml:id> <ml:id xml:space="preserve" subscript="N.mt">R</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2897" left="612" top="141" width="59.25" height="16.5" align-x="634.5" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="mt">N</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>99.999999999999986</ml:real> </result> </ml:eval> </math> </region> <region region-id="2898" left="6" top="164.25" width="57" height="12" align-x="12" align-y="174" 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"> <inlineAttr line-through="false">Max Torque</inlineAttr> </f> </text> </region> <region region-id="2899" left="324" top="165" width="64.5" height="16.5" align-x="342.75" align-y="174" show-border="false" show-highlight="false" 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:id xml:space="preserve" subscript="m">T</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="r">T</ml:id> <ml:id xml:space="preserve" subscript="T.m.r">R</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2900" left="612" top="165" width="60.75" height="16.5" align-x="630" align-y="174" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="m">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>1.9695440843649239</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="3011" left="750" top="165" width="78" height="16.5" align-x="768" align-y="174" 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="m">T</ml:id> <ml:unitOverride> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">in</ml:id> <ml:id xml:space="preserve" subscript="f">oz</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>378.15246419806545</ml:real> </result> </ml:eval> </math> </region> <region region-id="2901" left="6" top="194.25" width="170.25" height="12" align-x="13.5" align-y="204" 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"> <inlineAttr line-through="false">Max brake mean effective pressure:</inlineAttr> </f> </text> </region> <region region-id="2902" left="324" top="183.75" width="87.75" height="36" align-x="361.5" align-y="204" show-border="false" show-highlight="false" 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:id xml:space="preserve" subscript="mt">bmep</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="m">T</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="R">n</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="d">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2903" left="612" top="195" width="70.5" height="16.5" align-x="648.75" align-y="204" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="mt">bmep</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>165.00000000000003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2175" left="6" top="254.25" width="190.5" height="36" align-x="23.25" align-y="264" 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"> <inlineAttr line-through="false">Quadratic curve fit of bmep at sea level:</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr font-weight="normal" line-through="false">A</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr font-weight="normal" line-through="false"> simple curvefit to fit the rated power and </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr font-weight="normal" line-through="false">max torque at sea level.</inlineAttr> </f> </text> </region> <region region-id="2176" left="324" top="223.5" width="241.5" height="77.25" align-x="373.5" align-y="264" show-border="false" show-highlight="false" 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="sl">bmep</ml:id> <ml:boundVars> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="mt">bmep</ml:id> <ml:apply> <ml:mult style="default"/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="r">bmep</ml:id> <ml:id xml:space="preserve" subscript="mt">bmep</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="mt">N</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="N.mt">R</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="2872" left="612" top="255" width="85.5" height="16.5" align-x="663.75" align-y="264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="sl">bmep</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>110.00000000000003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2873" left="612" top="273" width="92.25" height="16.5" align-x="670.5" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="sl">bmep</ml:id> <ml:id xml:space="preserve" subscript="mt">N</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>165.00000000000003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2589" left="6" top="320.25" width="199.5" height="12" align-x="24.75" align-y="330" 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"> <inlineAttr line-through="false">Assumed Total Loss at Max Rated Torque:</inlineAttr> </f> </text> </region> <region region-id="2590" left="324" top="321" width="70.5" height="16.5" align-x="363.75" align-y="330" 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="tl.mt">mep</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>70</ml:real> <ml:id xml:space="preserve">kPa</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2874" left="612" top="321" width="84" height="16.5" align-x="651" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="tl.mt">mep</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>10.152641641114647</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2186" left="6" top="350.25" width="187.5" height="12" align-x="13.5" align-y="360" 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"> <inlineAttr line-through="false">Max indicated mean effective pressure:</inlineAttr> </f> </text> </region> <region region-id="2187" left="324" top="351" width="119.25" height="16.5" align-x="358.5" align-y="360" show-border="false" show-highlight="false" 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:id xml:space="preserve" subscript="mt">imep</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="mt">bmep</ml:id> <ml:id xml:space="preserve" subscript="tl.mt">mep</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2875" left="612" top="351" width="83.25" height="16.5" align-x="645.75" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="mt">imep</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>175.15264164111468</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2598" left="6" top="386.25" width="107.25" height="12" align-x="24.75" align-y="396" 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"> <inlineAttr line-through="false">Assumed Total Losses:</inlineAttr> </f> </text> </region> <region region-id="2599" left="324" top="387" width="142.5" height="16.5" align-x="375.75" align-y="396" show-border="false" show-highlight="false" 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="tl.sl">mep</ml:id> <ml:boundVars> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="mt">imep</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="sl">bmep</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="2876" left="612" top="387" width="99" height="16.5" align-x="666" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="tl.sl">mep</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>65.152641641114656</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2949" left="756" top="393" width="68.25" height="22.5" align-x="771.75" align-y="408" 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="r">N</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>10000</ml:real> </result> </ml:eval> </math> </region> <region region-id="2632" left="6" top="446.25" width="124.5" height="12" align-x="15.75" align-y="456" 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"> <inlineAttr line-through="false">Total Friction Losses, mep</inlineAttr> </f> </text> </region> <region region-id="2881" left="150" top="434.25" width="205.5" height="37.5" align-x="194.25" align-y="456" 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="tf">mep</ml:id> <ml:boundVars> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.8</ml:real> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:real>.97</ml:real> <ml:apply> <ml:mult style="default"/> <ml:real>.27</ml:real> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>.19</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">atm</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2882" left="402" top="446.25" width="98.25" height="36" align-x="402" align-y="456" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: It is not a function of altitude or PS </text> </region> <region region-id="2629" left="516" top="446.25" width="72" height="24" align-x="534" align-y="456" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#8080c0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Similar to Heywood pg 723 </text> </region> <region region-id="2877" left="612" top="447" width="91.5" height="16.5" align-x="658.5" align-y="456" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="tf">mep</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>16.812165399187386</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2948" left="732" top="453" width="98.25" height="16.5" align-x="778.5" align-y="462" 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="tf">mep</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">kPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>115.91579999999999</ml:real> </result> </ml:eval> </math> </region> <region region-id="2637" left="6" top="494.25" width="115.5" height="12" align-x="12.75" align-y="504" 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"> <inlineAttr line-through="false">Total Pumping Losses</inlineAttr> </f> </text> </region> <region region-id="2879" left="144" top="494.25" width="225" height="17.25" align-x="219" align-y="504" 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="tp">mep</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="tl.sl">mep</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="tf">mep</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:apply> <ml:id xml:space="preserve">σ</ml:id> <ml:id xml:space="preserve">alt</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">PS</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2880" left="384" top="494.25" width="222.75" height="24" align-x="384" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: Assumed to be functions of mass flow, unlike Heywood, this includes volumetric efficiency effects </text> </region> <region region-id="2878" left="612" top="495" width="98.25" height="16.5" align-x="665.25" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="tf">mep</ml:id> <ml:id xml:space="preserve" subscript="mt">N</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>11.436022877574935</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> </area> <rendering item-idref="18"/> </region> <region region-id="2407" left="6" top="989.25" width="699" height="15.75" align-x="6" align-y="1002" 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"> <c val="#000">Engine Performance at All Conditions<sp count="121"/> </c> </f> </text> </region> <region region-id="3225" left="0" top="1011" width="6008.25" align-x="8.25" align-y="1020" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="896.25"> <area is-collapsed="false" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="3225" bottom-lock-id="3227" bottom-tag=""> <region region-id="2287" left="6" top="1028.25" width="189.75" height="12" align-x="21.75" align-y="1038" 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"> <inlineAttr line-through="false">Indicated (gas) Mean Effective Pressure:</inlineAttr> </f> </text> </region> <region region-id="2325" left="276" top="1028.25" width="132.75" height="17.25" align-x="333" align-y="1038" 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">imep</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="mt">imep</ml:id> <ml:id xml:space="preserve">PS</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">σ</ml:id> <ml:id xml:space="preserve">alt</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="2641" left="6" top="1064.25" width="147.75" height="12" align-x="15.75" align-y="1074" 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"> <inlineAttr line-through="false">Brake mean effective pressure:</inlineAttr> </f> </text> </region> <region region-id="2640" left="276" top="1065" width="260.25" height="16.5" align-x="348" align-y="1074" 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">bmep</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">imep</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="tf">mep</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="tp">mep</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="2639" left="606" top="1065" width="99" height="16.5" align-x="671.25" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">bmep</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">sl</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>110.00000000000003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="21"/> </region> <region region-id="2933" left="594" top="1095" width="105.75" height="16.5" align-x="612" align-y="1104" 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="a">N</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">rpm</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>50</ml:real> <ml:id xml:space="preserve">rpm</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="default"/> <ml:real>1.5</ml:real> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> </ml:range> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="2638" left="78" top="1110" width="502.5" height="330.75" align-x="78" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="23"/> <rendering item-idref="24"/> </region> <region region-id="3062" left="576" top="1160.25" width="103.5" height="48" align-x="594" align-y="1170" 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"> <inlineAttr line-through="false">______</inlineAttr> </f>Indicated means no friction, no pumping, no leakage losses, ie: a perfect cycle. </text> </region> <region region-id="2644" left="6" top="1496.25" width="171" height="24" align-x="24" align-y="1506" 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"> <inlineAttr line-through="false">Indicated Torque (Corrected for Power Setting and Altitude</inlineAttr> </f> </text> </region> <region region-id="2643" left="324" top="1486.5" width="129" height="36" align-x="366" align-y="1506" 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="i">T</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">imep</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="d">V</ml:id> <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="R">n</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="2352" left="612" top="1509" width="85.5" height="16.5" align-x="648.75" align-y="1518" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="i">T</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">sl</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">ft</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>2.090732419425132</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="2647" left="6" top="1532.25" width="78" height="12" align-x="24" align-y="1542" 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"> <inlineAttr line-through="false">Indicated Power</inlineAttr> </f> </text> </region> <region region-id="2646" left="324" top="1532.25" width="132" height="17.25" align-x="381.75" align-y="1542" 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="i">P</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</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:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="i">T</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="2645" left="612" top="1533" width="90" height="16.5" align-x="663" align-y="1542" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="i">P</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">sl</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">hp</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>3.9807418554798781</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="horsepower"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="2654" left="6" top="1562.25" width="64.5" height="12" align-x="6" align-y="1572" 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"> <inlineAttr line-through="false">BrakeTorque </inlineAttr> </f> </text> </region> <region region-id="2655" left="324" top="1552.5" width="168" height="36" align-x="385.5" align-y="1572" 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="b">T</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">bmep</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="d">V</ml:id> <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="R">n</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="2656" left="612" top="1563" width="103.5" height="16.5" align-x="666.75" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="b">T</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">sl</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">ft</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>1.3130293895766159</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="30"/> </region> <region region-id="2659" left="6" top="1610.25" width="61.5" height="12" align-x="18" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0"> <inlineAttr line-through="false">Brake Power</inlineAttr> </f> </text> </region> <region region-id="3126" left="324" top="1610.25" width="150" height="17.25" align-x="384.75" align-y="1620" 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="b">P</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</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:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="b">T</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="2657" left="612" top="1611" width="84" height="16.5" align-x="666" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="b">P</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">sl</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">hp</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> 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<inlineAttr line-through="false">Minimum SFC</inlineAttr> </f> </text> </region> <region region-id="2411" left="120" top="12" width="55.5" height="32.25" align-x="143.25" align-y="30" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="m">sfc</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="f">mdot</ml:id> <ml:id xml:space="preserve" subscript="b">P</ml:id> </ml:apply> </ml:apply> </math> </region> <region region-id="3212" left="540" top="56.25" width="44.25" height="27.75" align-x="560.25" align-y="72" 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" 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<ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="Air">mdot</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">sl</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.013129045788978441</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="3028" left="6" top="428.25" width="39.75" height="12" align-x="12" align-y="438" 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"> <inlineAttr line-through="false">Air Flow</inlineAttr> </f> </text> </region> <region region-id="2691" left="6" top="536.25" width="118.5" height="12" align-x="6" align-y="546" 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"> Fuel Flow (Volume/Hour) </text> </region> <region region-id="2759" left="258" top="526.5" width="202.5" height="46.5" align-x="375" align-y="546" 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="v.eng">FuelFlow</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">rpm</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="f">mdot</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">rpm</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>6</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lb</ml:id> <ml:id xml:space="preserve">gal</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="3211" left="642" top="537" width="141.75" height="16.5" align-x="747.75" align-y="546" 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:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve" subscript="f">mdot</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:mult style="auto-select"/> <ml:real>500</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <ml:real>10</ml:real> </ml:apply> <ml:id xml:space="preserve">min</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">lb</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.48517295214998468</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2667" left="468" top="554.25" width="91.5" height="12" align-x="480" align-y="564" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: Density of Fuel </text> </region> <region region-id="3210" left="618" top="561" width="184.5" height="16.5" align-x="759.75" align-y="570" 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:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve" subscript="v.eng">FuelFlow</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:mult style="auto-select"/> <ml:real>500</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <ml:real>10</ml:real> </ml:apply> <ml:id xml:space="preserve">min</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve" subscript="fl">oz</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>10.350356312533007</ml:real> </result> </ml:eval> </math> </region> <region region-id="2665" left="6" top="608.25" width="149.25" height="12" align-x="21" align-y="618" 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"> <inlineAttr line-through="false">Specific Fuel Consumption (sfc)</inlineAttr> </f> </text> </region> <region region-id="2758" left="258" top="598.5" width="140.25" height="35.25" align-x="320.25" align-y="618" 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">sfc</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="f">mdot</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="b">P</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="2694" left="606" top="609" width="102" height="16.5" align-x="661.5" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">sfc</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">sl</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">PSfc</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.18161412100806</ml:real> </result> </ml:eval> </math> </region> <region region-id="2980" left="612" top="657" width="89.25" height="16.5" align-x="632.25" align-y="666" 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="a">alt</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id xml:space="preserve">kft</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">kft</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>30</ml:real> <ml:id xml:space="preserve">kft</ml:id> </ml:apply> </ml:range> </ml:define> </math> </region> <region region-id="1680" left="12" top="678" width="299.25" height="288" align-x="12" align-y="678" 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="2364" left="360" top="678" width="351.75" height="292.5" align-x="360" align-y="678" 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="3029" left="420" top="1002" width="326.25" height="450.75" align-x="420" align-y="1002" 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="3030" left="6" top="1032" width="306.75" height="288" align-x="6" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="41"/> </region> <region region-id="2769" left="24" top="1436.25" width="238.5" height="12" align-x="27.75" align-y="1446" 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"> Set up for contour plot, need 2D function without units: </text> </region> <region region-id="2770" left="282" top="1426.5" width="138" height="31.5" align-x="336" align-y="1446" 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" subscript="hn">hp</ml:id> <ml:boundVars> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="b">P</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve">rpm</ml:id> </ml:apply> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">hp</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2772" left="276" top="1481.25" width="213" height="15.75" align-x="286.5" align-y="1494" 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"> <c val="#000080">Engine Horsepower contour Plot</c> </inlineAttr> </f> </text> </region> </area> <rendering item-idref="42"/> </region> <region region-id="3301" left="12" top="2004.75" width="678.75" height="14.25" align-x="12" align-y="2016" 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"> <c val="#000">Engine at Altitude Correction<sp count="171"/> </c> </inlineAttr> </f> </text> </region> <region region-id="3300" left="0" top="2028" width="6008.25" align-x="0" align-y="2028" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="674.25"> <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="3253" bottom-lock-id="3255"> <region region-id="3034" left="36" top="14.25" width="150" height="24" align-x="58.5" align-y="24" 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"> <inlineAttr line-through="false">Brakepower Altitude </inlineAttr> </f> Correction <f family="Arial" charset="0"> <inlineAttr line-through="false">Reference </inlineAttr> </f> </text> </region> <region region-id="3035" left="228" top="7.5" width="87" height="28.5" align-x="259.5" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="1">φ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">alt</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">σ</ml:id> <ml:id xml:space="preserve">alt</ml:id> </ml:apply> <ml:real>.15</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:real>.15</ml:real> </ml:apply> </ml:apply> </ml:globalDefine> </math> </region> <region region-id="3036" left="426" top="14.25" width="95.25" height="24" align-x="432.75" align-y="24" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#8080c0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Von Mices, page 365, Equation 11 </text> </region> <region region-id="3037" left="108" top="32.25" width="116.25" height="12" align-x="117" align-y="42" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: For Reference ONLY </text> </region> <region region-id="3038" left="36" top="56.25" width="150" height="24" align-x="58.5" align-y="66" 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"> <inlineAttr line-through="false">Brakepower Altitude </inlineAttr> </f> Correction Reference </text> </region> <region region-id="3039" left="228" top="49.5" width="87" height="28.5" align-x="259.5" align-y="66" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="2">φ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">alt</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">σ</ml:id> <ml:id xml:space="preserve">alt</ml:id> </ml:apply> <ml:real>.12</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:real>.12</ml:real> </ml:apply> </ml:apply> </ml:globalDefine> </math> </region> <region region-id="3040" left="426" top="56.25" width="87.75" height="12" align-x="439.5" align-y="66" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#8080c0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Torenbeek page 104 </text> </region> <region region-id="3041" left="108" top="74.25" width="116.25" height="12" align-x="117" align-y="84" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: For Reference ONLY </text> </region> <region region-id="3042" left="36" top="98.25" width="170.25" height="12" align-x="54" align-y="108" 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"> <inlineAttr line-through="false">Indicated Power Altitude Correction</inlineAttr> </f> </text> </region> <region region-id="3043" left="228" top="98.25" width="161.25" height="82.5" align-x="284.25" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="fr">ψ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">p</ml:id> <ml:real>1.0</ml:real> </ml:localDefine> <ml:ifThen> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:ifThen> <ml:otherwise> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">σ</ml:id> <ml:id xml:space="preserve">alt</ml:id> </ml:apply> <ml:id xml:space="preserve">p</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">σ</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:apply> <ml:id xml:space="preserve">p</ml:id> </ml:apply> </ml:apply> </ml:otherwise> </ml:program> </ml:globalDefine> </math> </region> <region region-id="3044" left="36" top="200.25" width="132" height="24" align-x="58.5" 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="true"> <f family="Arial" charset="0"> <inlineAttr line-through="false">Brake Power Altitude </inlineAttr> </f> Correction </text> </region> <region region-id="3045" left="228" top="200.25" width="150.75" height="54" align-x="281.25" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="fr">φ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">c</ml:id> <ml:real>.135</ml:real> </ml:localDefine> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="fr">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">c</ml:id> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="fr">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">c</ml:id> </ml:apply> </ml:apply> </ml:program> </ml:globalDefine> </math> </region> <region region-id="3046" left="426" top="200.25" width="111" height="12" align-x="426" align-y="210" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#8080c0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Von Mices, page 365,369 </text> </region> <region region-id="3047" left="552" top="206.25" width="88.5" height="48" align-x="561" align-y="216" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: Vary "p" and "c" to correlate to engine models more precisely </text> </region> <region region-id="3048" left="138" top="230.25" width="116.25" height="12" align-x="138" align-y="240" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: For Reference ONLY </text> </region> <region region-id="3049" left="72" top="282" width="572.25" height="384.75" align-x="72" align-y="282" 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="2396" left="768" top="459" width="43.5" height="16.5" align-x="781.5" align-y="468" 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="r">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">hp</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>2.5</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="horsepower"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> </area> <rendering item-idref="44"/> </region> <region region-id="3033" left="72" top="2015.25" width="3.75" height="15.75" align-x="87" 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<currentUnitSystem name="us" customized="false"/> </units> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="3349" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="3138" left="6" top="12.75" width="387" height="10.5" align-x="5.25" align-y="12" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <reference> <originRef doc-id="feb7a6a0-07a5-4a5a-a222-c1ab6800481d" version-id="182364b1-ded3-4511-ab35-1cc54d53f972" branch-id="00000000-0000-0000-0000-000000000000" revision-num="4" is-modified="true" region-id="0" href="C:\Documents and Settings\Raymond Wagner\Desktop\current_model\utility\Aero Utility.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=".\..\utility\Aero Utility.xmcd"/> <rendering item-idref="2"/> </region> <region region-id="2782" left="162" top="81.75" width="384" height="33" align-x="198.75" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#0f0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="28"> <inlineAttr line-through="false"> <c val="#000080">Piston Engine Model</c> </inlineAttr> </f> </text> </region> <region region-id="3188" left="258" top="122.25" width="188.25" height="12" align-x="268.5" align-y="132" 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"> Last edited 3/9/2006 by Raymond Wagner </text> </region> <region region-id="2784" left="90" top="366.75" width="518.25" height="38.25" align-x="97.5" align-y="378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="12"> <c val="#000">Introduction</c> </f> This code allows one to calculate the characteristics of a certain class of piston engines.<sp count="2"/>The class of engine can be changed through the input values.<sp count="2"/>Code currently does not have capability to be flatrated, although an input is entered. </text> </region> <region region-id="2904" left="18" top="540.75" width="79.5" height="14.25" align-x="18" align-y="552" 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"> <c val="#000">Color Coding</c> </inlineAttr> </f> </text> </region> <region region-id="2905" left="18" top="566.25" width="24" height="12" align-x="27.75" align-y="576" 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="10"> <inlineAttr line-through="false"> <c val="#000">Input</c> </inlineAttr> </f> </text> </region> <region region-id="2906" left="156" top="566.25" width="28.5" height="12" align-x="168" align-y="576" 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"> Yellow </text> </region> <region region-id="2907" left="264" top="566.25" width="84.75" height="12" align-x="273.75" align-y="576" 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"> Must enter in Value </text> </region> <region region-id="2908" left="18" top="584.25" width="45.75" height="12" align-x="30" align-y="594" 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"> <inlineAttr line-through="false"> <c val="#000">Functions</c> </inlineAttr> </f> </text> </region> <region region-id="2909" left="156" top="584.25" width="26.25" height="12" align-x="165.75" align-y="594" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Green </text> </region> <region region-id="2910" left="264" top="584.25" width="69.75" height="12" align-x="286.5" align-y="594" 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"> Functions used </text> </region> <region region-id="2911" left="18" top="602.25" width="57" height="12" align-x="40.5" align-y="612" 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="10"> <inlineAttr line-through="false"> <c val="#000">Comparison</c> </inlineAttr> </f> </text> </region> <region region-id="2912" left="156" top="602.25" width="21" height="12" align-x="157.5" align-y="612" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#c0c0c0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Grey </text> </region> <region region-id="2913" left="264" top="602.25" width="276.75" height="12" align-x="282.75" align-y="612" 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"> Compares Other Methodolies to Methodology Used in this Code </text> </region> <region region-id="2914" left="18" top="620.25" width="35.25" height="12" align-x="31.5" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="10"> <inlineAttr line-through="false"> <c val="#000">Ranges</c> </inlineAttr> </f> </text> </region> <region region-id="2915" left="156" top="620.25" width="41.25" height="12" align-x="165" align-y="630" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Light Red </text> </region> <region region-id="2916" left="264" top="620.25" width="214.5" height="12" align-x="276" 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="true"> Range of Values for Plotting/Optimizing Purposes </text> </region> <region region-id="2846" left="6" top="677.25" width="692.25" height="15.75" align-x="6" align-y="690" 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"> <c val="#000">Engine Geometry<sp count="152"/> </c> </inlineAttr> </f> </text> </region> <region region-id="3340" left="0" top="702" width="6008.25" align-x="0" align-y="702" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="362.25"> <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="3213" bottom-lock-id="3310"> <region region-id="2845" left="474" top="14.25" width="69.75" height="12" align-x="489.75" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#8080c0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Heywood pg 43 </text> </region> <region region-id="2503" left="6" top="26.25" width="115.5" height="24" align-x="27.75" align-y="36" 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"> <inlineAttr line-through="false">Connecting Rod Length</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">Crank Radius</inlineAttr> </f> </text> </region> <region region-id="2515" left="204" top="20.25" width="33" height="27.75" align-x="222.75" align-y="36" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="l.a">R</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">l</ml:id> <ml:id xml:space="preserve">a</ml:id> 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background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">B</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1.093</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="3146" left="6" top="92.25" width="66.75" height="12" align-x="19.5" align-y="102" 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"> <inlineAttr underline="false">Stroke Length</inlineAttr> </text> </region> <region region-id="3149" left="312" top="93" width="42" height="12.75" align-x="323.25" align-y="102" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.960</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2513" left="6" top="122.25" width="60" height="24" align-x="14.25" align-y="132" 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"> <inlineAttr line-through="false">Max Cyl. Vol</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">Min Cyl Vol</inlineAttr> </f> </text> </region> <region region-id="1753" left="312" top="116.25" width="46.5" height="27.75" align-x="325.5" align-y="132" 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:id xml:space="preserve" subscript="c">r</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">B</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">B</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="3153" left="654" top="123" width="45.75" height="16.5" align-x="666.75" 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:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="c">r</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>8.21804511278196</ml:real> </result> </ml:eval> </math> </region> <region region-id="2519" left="78" top="128.25" width="95.25" height="12" align-x="78" align-y="138" 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"> (Compression Ratio) </text> </region> <region region-id="2516" left="204" top="120" width="51.75" height="32.25" align-x="215.25" align-y="138" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="c">r</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" 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xml:space="preserve" subscript="b.s">R</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="c">n</ml:id> </ml:apply> </ml:apply> </math> </region> <region region-id="2804" left="312" top="195" width="43.5" height="22.5" align-x="329.25" align-y="210" 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="d">V</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.9</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="2790" left="414" top="200.25" width="120" height="12" align-x="423.75" align-y="210" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#89fecf" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: Sets Power of Engine </text> </region> <region region-id="2499" left="6" top="236.25" width="66.75" height="24" align-x="15" align-y="246" 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"> <inlineAttr line-through="false">Cylinder Bore</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">Piston Stroke</inlineAttr> </f> </text> </region> <region region-id="2518" left="204" top="230.25" width="36" height="27.75" align-x="224.25" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="b.s">R</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">B</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:apply> </math> </region> <region region-id="2497" left="312" top="230.25" width="40.5" height="27.75" align-x="336" align-y="246" 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:id xml:space="preserve" subscript="b.s">R</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">B</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="3152" left="654" top="243" width="56.25" height="16.5" align-x="677.25" align-y="252" 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="b.s">R</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.1385416666666666</ml:real> </result> </ml:eval> </math> </region> <region region-id="778" left="6" top="302.25" width="225" height="42" align-x="21" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0"> <inlineAttr line-through="false">Number of Crank Revolutions per Power Stroke</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">2-Stroke: n</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false"> R </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false"> = 1 rev</inlineAttr> </f> <inlineAttr line-through="false"> <f family="Arial" charset="0"> 4-Stroke: n </f> </inlineAttr> <inlineAttr font-style="normal" underline="false" line-through="false"> <f family="Arial" charset="0" size="10">R</f> </inlineAttr> <f family="Arial" charset="0"> <inlineAttr line-through="false"> = 2 rev</inlineAttr> </f> </text> </region> <region region-id="1758" left="312" top="303" width="29.25" height="16.5" align-x="329.25" align-y="312" 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="R">n</ml:id> <ml:real>1</ml:real> </ml:define> </math> </region> </area> <rendering item-idref="3"/> </region> <region region-id="782" left="6" top="714.75" width="681.75" height="14.25" align-x="13.5" align-y="726" 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="12"> <c val="#000">Engine Max Rated Power Conditions<sp count="156"/> </c> </f> <f size="12"> <c val="#00f"> <sp/> </c> </f> </text> </region> <region region-id="3237" left="0" top="729" width="6008.25" align-x="8.25" align-y="738" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="212.25"> <area is-collapsed="false" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="3237" bottom-lock-id="3219" bottom-tag=""> <region region-id="3157" left="6" top="740.25" width="166.5" height="12" align-x="27" align-y="750" 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"> <inlineAttr line-through="false">Rated Crankshaft Rotational Speed</inlineAttr> </f> </text> </region> <region region-id="3158" left="312" top="741" width="61.5" height="16.5" align-x="328.5" align-y="750" 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="r">N</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10000</ml:real> <ml:id xml:space="preserve">rpm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="1080" left="6" top="770.25" width="159" height="24" align-x="16.5" align-y="780" 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"> <inlineAttr line-through="false">Rated Mean Piston Speed</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr font-weight="normal" line-through="false">at Rated Max Power</inlineAttr> </f> </text> </region> <region region-id="1761" left="204" top="771" width="45.75" height="16.5" align-x="219.75" align-y="780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="p">S</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="5"/> </region> <region region-id="918" left="312" top="771" width="55.5" height="16.5" align-x="333.75" align-y="780" 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:id xml:space="preserve" subscript="p.r">S</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="r">N</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="3162" left="636" top="764.25" width="69" height="27.75" align-x="657" align-y="780" 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="p.r">S</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>26.666666666666664</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="7"/> </region> <region region-id="3271" left="18" 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push-down="false" lock-width="true"> <f family="Arial" charset="0"> <inlineAttr line-through="false">Brake Power, </inlineAttr> </f> Rated Max Power </text> </region> <region region-id="3274" left="324" top="819" width="43.5" height="16.5" align-x="338.25" align-y="828" 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="r">P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2.5</ml:real> <ml:id xml:space="preserve">hp</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="3275" left="612" top="819" width="43.5" height="16.5" align-x="625.5" align-y="828" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval 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<math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="exhaust">M</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>8</ml:real> <ml:id xml:space="preserve">oz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> </area> <rendering item-idref="17"/> </region> <region region-id="3236" left="6" top="959.25" width="688.5" height="15.75" align-x="6" align-y="972" 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"> <c val="#000">Engine Cycle Mean Effective Pressures<sp count="112"/> </c> </inlineAttr> </f> </text> </region> <region region-id="3341" left="0" top="984" width="6008.25" align-x="0" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="536.25"> <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="3244" bottom-lock-id="3223"> <region region-id="3179" left="6" top="20.25" width="147.75" height="24" align-x="15.75" align-y="30" 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"> <inlineAttr line-through="false">Brake Mean Effective Pressure,</inlineAttr> </f> Rated Max Power </text> </region> <region region-id="3181" left="324" top="9.75" width="80.25" height="36" align-x="354.75" align-y="30" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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torque rpm</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">max power rpm</inlineAttr> </f> </text> </region> <region region-id="2889" left="204" top="54" width="45" height="32.25" align-x="229.5" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="N.t.r">R</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="t">N</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> </ml:apply> </math> </region> <region region-id="2890" left="324" top="63" width="49.5" height="16.5" align-x="354.75" align-y="72" 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="N.mt">R</ml:id> <ml:real>.01</ml:real> </ml:define> </math> </region> <region region-id="2891" left="6" top="98.25" width="36.75" height="12" align-x="13.5" align-y="108" 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"> <inlineAttr line-through="false">Ratio of</inlineAttr> </f> </text> </region> <region region-id="2892" left="48" top="98.25" width="58.5" height="24" align-x="54" align-y="108" 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"> <inlineAttr line-through="false">max torque</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false">rated torque</inlineAttr> </f> </text> </region> <region region-id="2893" left="324" top="99" width="51" height="16.5" align-x="356.25" align-y="108" 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="T.m.r">R</ml:id> <ml:real>1.5</ml:real> </ml:define> </math> </region> <region region-id="2894" left="204" top="96" width="47.25" height="32.25" align-x="229.5" align-y="114" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="T.t.r">R</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="m">T</ml:id> <ml:id xml:space="preserve" subscript="r">T</ml:id> </ml:apply> </ml:apply> </math> </region> <region region-id="2895" left="6" top="134.25" width="93.75" height="12" align-x="12" align-y="144" 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"> <inlineAttr line-through="false">RPM at Max Torque</inlineAttr> </f> </text> </region> <region region-id="2896" left="324" top="135" width="69" height="16.5" align-x="347.25" align-y="144" show-border="false" show-highlight="false" 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:id xml:space="preserve" subscript="mt">N</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="r">N</ml:id> <ml:id xml:space="preserve" subscript="N.mt">R</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2897" left="612" top="141" width="59.25" height="16.5" align-x="634.5" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="mt">N</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>99.999999999999986</ml:real> </result> </ml:eval> </math> </region> <region region-id="2898" left="6" top="164.25" width="57" height="12" align-x="12" align-y="174" 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"> <inlineAttr line-through="false">Max Torque</inlineAttr> </f> </text> </region> <region region-id="2899" left="324" top="165" width="64.5" height="16.5" align-x="342.75" align-y="174" show-border="false" show-highlight="false" 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:id xml:space="preserve" subscript="m">T</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="r">T</ml:id> <ml:id xml:space="preserve" subscript="T.m.r">R</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2900" left="612" top="165" width="60.75" height="16.5" align-x="630" align-y="174" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="m">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>1.9695440843649239</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="3011" left="750" top="165" width="78" height="16.5" align-x="768" align-y="174" 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="m">T</ml:id> <ml:unitOverride> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">in</ml:id> <ml:id xml:space="preserve" subscript="f">oz</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>378.15246419806545</ml:real> </result> </ml:eval> </math> </region> <region region-id="2901" left="6" top="194.25" width="170.25" height="12" align-x="13.5" align-y="204" 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"> <inlineAttr line-through="false">Max brake mean effective pressure:</inlineAttr> </f> </text> </region> <region region-id="2902" left="324" top="183.75" width="87.75" height="36" align-x="361.5" align-y="204" show-border="false" show-highlight="false" 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:id xml:space="preserve" subscript="mt">bmep</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="m">T</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="R">n</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="d">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2903" left="612" top="195" width="70.5" height="16.5" align-x="648.75" align-y="204" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="mt">bmep</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>165.00000000000003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2175" left="6" top="254.25" width="190.5" height="36" align-x="23.25" align-y="264" 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"> <inlineAttr line-through="false">Quadratic curve fit of bmep at sea level:</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr font-weight="normal" line-through="false">A</inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr font-weight="normal" line-through="false"> simple curvefit to fit the rated power and </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr font-weight="normal" line-through="false">max torque at sea level.</inlineAttr> </f> </text> </region> <region region-id="2176" left="324" top="223.5" width="241.5" height="77.25" align-x="373.5" align-y="264" show-border="false" show-highlight="false" 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="sl">bmep</ml:id> <ml:boundVars> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="mt">bmep</ml:id> <ml:apply> <ml:mult style="default"/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="r">bmep</ml:id> <ml:id xml:space="preserve" subscript="mt">bmep</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="mt">N</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="N.mt">R</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="2872" left="612" top="255" width="85.5" height="16.5" align-x="663.75" align-y="264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="sl">bmep</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>110.00000000000003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2873" left="612" top="273" width="92.25" height="16.5" align-x="670.5" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="sl">bmep</ml:id> <ml:id xml:space="preserve" subscript="mt">N</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>165.00000000000003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2589" left="6" top="320.25" width="199.5" height="12" align-x="24.75" align-y="330" 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"> <inlineAttr line-through="false">Assumed Total Loss at Max Rated Torque:</inlineAttr> </f> </text> </region> <region region-id="2590" left="324" top="321" width="70.5" height="16.5" align-x="363.75" align-y="330" 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="tl.mt">mep</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>70</ml:real> <ml:id xml:space="preserve">kPa</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2874" left="612" top="321" width="84" height="16.5" align-x="651" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="tl.mt">mep</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>10.152641641114647</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2186" left="6" top="350.25" width="187.5" height="12" align-x="13.5" align-y="360" 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"> <inlineAttr line-through="false">Max indicated mean effective pressure:</inlineAttr> </f> </text> </region> <region region-id="2187" left="324" top="351" width="119.25" height="16.5" align-x="358.5" align-y="360" show-border="false" show-highlight="false" 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:id xml:space="preserve" subscript="mt">imep</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="mt">bmep</ml:id> <ml:id xml:space="preserve" subscript="tl.mt">mep</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2875" left="612" top="351" width="83.25" height="16.5" align-x="645.75" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="mt">imep</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>175.15264164111468</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2598" left="6" top="386.25" width="107.25" height="12" align-x="24.75" align-y="396" 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"> <inlineAttr line-through="false">Assumed Total Losses:</inlineAttr> </f> </text> </region> <region region-id="2599" left="324" top="387" width="142.5" height="16.5" align-x="375.75" align-y="396" show-border="false" show-highlight="false" 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="tl.sl">mep</ml:id> <ml:boundVars> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="mt">imep</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="sl">bmep</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="2876" left="612" top="387" width="99" height="16.5" align-x="666" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="tl.sl">mep</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>65.152641641114656</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2949" left="756" top="393" width="68.25" height="22.5" align-x="771.75" align-y="408" 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="r">N</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>10000</ml:real> </result> </ml:eval> </math> </region> <region region-id="2632" left="6" top="446.25" width="124.5" height="12" align-x="15.75" align-y="456" 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"> <inlineAttr line-through="false">Total Friction Losses, mep</inlineAttr> </f> </text> </region> <region region-id="2881" left="150" top="434.25" width="205.5" height="37.5" align-x="194.25" align-y="456" 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="tf">mep</ml:id> <ml:boundVars> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.8</ml:real> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:real>.97</ml:real> <ml:apply> <ml:mult style="default"/> <ml:real>.27</ml:real> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>.19</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">atm</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2882" left="402" top="446.25" width="98.25" height="36" align-x="402" align-y="456" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: It is not a function of altitude or PS </text> </region> <region region-id="2629" left="516" top="446.25" width="72" height="24" align-x="534" align-y="456" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#8080c0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Similar to Heywood pg 723 </text> </region> <region region-id="2877" left="612" top="447" width="91.5" height="16.5" align-x="658.5" align-y="456" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="tf">mep</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>16.812165399187386</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2948" left="732" top="453" width="98.25" height="16.5" align-x="778.5" align-y="462" 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="tf">mep</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">kPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>115.91579999999999</ml:real> </result> </ml:eval> </math> </region> <region region-id="2637" left="6" top="494.25" width="115.5" height="12" align-x="12.75" align-y="504" 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"> <inlineAttr line-through="false">Total Pumping Losses</inlineAttr> </f> </text> </region> <region region-id="2879" left="144" top="494.25" width="225" height="17.25" align-x="219" align-y="504" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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<inlineAttr line-through="false">Minimum SFC</inlineAttr> </f> </text> </region> <region region-id="2411" left="120" top="12" width="55.5" height="32.25" align-x="143.25" align-y="30" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="m">sfc</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="f">mdot</ml:id> <ml:id xml:space="preserve" subscript="b">P</ml:id> </ml:apply> </ml:apply> </math> </region> <region region-id="3212" left="540" top="56.25" width="44.25" height="27.75" align-x="560.25" align-y="72" 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="fl">oz</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">gal</ml:id> <ml:real>128</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="2409" left="6" top="68.25" width="66.75" height="12" align-x="24" align-y="78" 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"> <inlineAttr line-through="false">Indicated SFC</inlineAttr> </f> </text> </region> <region region-id="2412" left="120" top="60" width="51.75" height="32.25" align-x="139.5" align-y="78" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:id xml:space="preserve" subscript="i">sfc</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="f">mdot</ml:id> <ml:id xml:space="preserve" subscript="i">P</ml:id> </ml:apply> </ml:apply> </math> </region> <region region-id="2672" left="6" top="116.25" width="174.75" height="12" align-x="16.5" align-y="126" 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"> <inlineAttr line-through="false">Minimum Specific Fuel Consumption</inlineAttr> </f> </text> </region> <region region-id="2681" left="300" top="117" width="60.75" height="16.5" align-x="327.75" align-y="126" 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="mt">sfc</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">PSfc</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2946" left="438" top="116.25" width="266.25" height="12" align-x="447.75" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: Assumed to occur at Max Torque, Sea Level Standards </text> </region> <region region-id="3008" left="756" top="140.25" width="60.75" height="27.75" align-x="779.25" align-y="156" 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">PSfc</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lb</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">hp</ml:id> <ml:id xml:space="preserve">hr</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> <result 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top="230.25" width="11.25" height="12" align-x="603" align-y="240" 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"> or </text> </region> <region region-id="3016" left="618" top="226.5" width="90" height="46.5" align-x="652.5" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="fr">mdot</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>6</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lb</ml:id> <ml:id xml:space="preserve">gal</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">fl_oz</ml:id> <ml:id xml:space="preserve">hr</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>50.415535829677225</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="fluid_ounce"/> <unitReference unit="hour" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2749" left="744" top="243" width="98.25" height="22.5" align-x="789.75" align-y="258" 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:mult style="default"/> <ml:id xml:space="preserve" subscript="r">N</ml:id> <ml:id xml:space="preserve" subscript="N.sfc">R</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>8000.0000000000009</ml:real> </result> </ml:eval> 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<ml:id xml:space="preserve" subscript="f">mdot</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">sl</ml:id> <ml:id xml:space="preserve" subscript="mt">N</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lb</ml:id> <ml:id xml:space="preserve">hr</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.029540353025201492</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="hour" power-numerator="-1"/> <unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2748" left="738" top="297" width="59.25" height="16.5" align-x="760.5" align-y="306" 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="mt">N</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>99.999999999999986</ml:real> </result> </ml:eval> </math> </region> <region region-id="2764" left="360" top="320.25" width="156" height="27" align-x="366" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: Fuel flow is assumed to be proportional to indicated power ( P<f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> i </inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">)</inlineAttr> </f> </text> </region> <region region-id="2972" left="576" top="314.25" width="106.5" height="27.75" 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align-x="672.75" align-y="360" 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="f">mdot</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">sl</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="N.sfc">R</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:apply> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lb</ml:id> <ml:id xml:space="preserve">hr</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>2.36322824201612</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="hour" power-numerator="-1"/> <unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="3024" left="6" top="392.25" width="77.25" height="12" align-x="12" align-y="402" 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"> <inlineAttr line-through="false">Air to Fuel Ratio</inlineAttr> </f> </text> </region> <region region-id="3025" left="198" top="393" width="40.5" height="12.75" align-x="222" align-y="402" 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">A_F</ml:id> <ml:real>16</ml:real> </ml:define> </math> </region> <region region-id="3026" left="246" top="423" width="177.75" height="16.5" align-x="329.25" align-y="432" 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="Air">mdot</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="auto-select"/> <ml:id xml:space="preserve">A_F</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="f">mdot</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="3027" left="564" top="416.25" width="121.5" height="27.75" align-x="640.5" align-y="432" 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="Air">mdot</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">sl</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.013129045788978441</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="3028" left="6" top="428.25" width="39.75" height="12" align-x="12" align-y="438" 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"> <inlineAttr line-through="false">Air Flow</inlineAttr> </f> </text> </region> <region region-id="2691" left="6" top="536.25" width="118.5" height="12" align-x="6" align-y="546" 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"> Fuel Flow (Volume/Hour) </text> </region> <region region-id="2759" left="258" top="526.5" width="202.5" height="46.5" align-x="375" align-y="546" 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="v.eng">FuelFlow</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">rpm</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="f">mdot</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">rpm</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>6</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lb</ml:id> <ml:id xml:space="preserve">gal</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="3211" left="642" top="537" width="141.75" height="16.5" align-x="747.75" align-y="546" 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:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve" subscript="f">mdot</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:mult style="auto-select"/> <ml:real>500</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <ml:real>10</ml:real> </ml:apply> <ml:id xml:space="preserve">min</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">lb</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.48517295214998468</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="2667" left="468" top="554.25" width="91.5" height="12" align-x="480" align-y="564" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: Density of Fuel </text> </region> <region region-id="3210" left="618" top="561" width="184.5" height="16.5" align-x="759.75" align-y="570" 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:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve" subscript="v.eng">FuelFlow</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:mult style="auto-select"/> <ml:real>500</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <ml:real>10</ml:real> </ml:apply> <ml:id xml:space="preserve">min</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve" subscript="fl">oz</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>10.350356312533007</ml:real> </result> </ml:eval> </math> </region> <region region-id="2665" left="6" top="608.25" width="149.25" height="12" align-x="21" align-y="618" 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"> <inlineAttr line-through="false">Specific Fuel Consumption (sfc)</inlineAttr> </f> </text> </region> <region region-id="2758" left="258" top="598.5" width="140.25" height="35.25" align-x="320.25" align-y="618" 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">sfc</ml:id> <ml:boundVars> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="f">mdot</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="b">P</ml:id> <ml:sequence> <ml:id xml:space="preserve">PS</ml:id> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="2694" left="606" top="609" width="102" height="16.5" align-x="661.5" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">sfc</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:id xml:space="preserve">sl</ml:id> <ml:id xml:space="preserve" subscript="r">N</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">PSfc</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.18161412100806</ml:real> </result> </ml:eval> </math> </region> <region region-id="2980" left="612" top="657" width="89.25" height="16.5" align-x="632.25" align-y="666" 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="a">alt</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id xml:space="preserve">kft</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">kft</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>30</ml:real> <ml:id xml:space="preserve">kft</ml:id> </ml:apply> </ml:range> </ml:define> </math> </region> <region region-id="1680" left="12" top="678" width="299.25" height="288" align-x="12" align-y="678" 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="2364" left="360" top="678" width="351.75" height="292.5" align-x="360" align-y="678" 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="3029" left="420" top="1002" width="326.25" height="450.75" align-x="420" align-y="1002" 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="3030" left="6" top="1032" width="306.75" height="288" align-x="6" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="41"/> </region> <region region-id="2769" left="24" top="1436.25" width="238.5" height="12" align-x="27.75" align-y="1446" 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"> Set up for contour plot, need 2D function without units: </text> </region> <region region-id="2770" left="282" top="1426.5" width="138" height="31.5" align-x="336" align-y="1446" 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" subscript="hn">hp</ml:id> <ml:boundVars> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="b">P</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve">rpm</ml:id> </ml:apply> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">hp</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="2772" left="276" top="1481.25" width="213" height="15.75" align-x="286.5" align-y="1494" 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"> <c val="#000080">Engine Horsepower contour Plot</c> </inlineAttr> </f> </text> </region> </area> <rendering item-idref="42"/> </region> <region region-id="3301" left="12" top="2004.75" width="678.75" height="14.25" align-x="12" align-y="2016" 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"> <c val="#000">Engine at Altitude Correction<sp count="171"/> </c> </inlineAttr> </f> </text> </region> <region region-id="3300" left="0" top="2028" width="6008.25" align-x="0" align-y="2028" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="674.25"> <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="3253" bottom-lock-id="3255"> <region region-id="3034" left="36" top="14.25" width="150" height="24" align-x="58.5" align-y="24" 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"> <inlineAttr line-through="false">Brakepower Altitude </inlineAttr> </f> Correction <f family="Arial" charset="0"> <inlineAttr line-through="false">Reference </inlineAttr> </f> </text> </region> <region region-id="3035" left="228" top="7.5" width="87" height="28.5" align-x="259.5" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="1">φ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">alt</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">σ</ml:id> <ml:id xml:space="preserve">alt</ml:id> </ml:apply> <ml:real>.15</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:real>.15</ml:real> </ml:apply> </ml:apply> </ml:globalDefine> </math> </region> <region region-id="3036" left="426" top="14.25" width="95.25" height="24" align-x="432.75" align-y="24" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#8080c0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Von Mices, page 365, Equation 11 </text> </region> <region region-id="3037" left="108" top="32.25" width="116.25" height="12" align-x="117" align-y="42" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: For Reference ONLY </text> </region> <region region-id="3038" left="36" top="56.25" width="150" height="24" align-x="58.5" align-y="66" 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"> <inlineAttr line-through="false">Brakepower Altitude </inlineAttr> </f> Correction Reference </text> </region> <region region-id="3039" left="228" top="49.5" width="87" height="28.5" align-x="259.5" align-y="66" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="2">φ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">alt</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">σ</ml:id> <ml:id xml:space="preserve">alt</ml:id> </ml:apply> <ml:real>.12</ml:real> </ml:apply> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:real>.12</ml:real> </ml:apply> </ml:apply> </ml:globalDefine> </math> </region> <region region-id="3040" left="426" top="56.25" width="87.75" height="12" align-x="439.5" align-y="66" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#8080c0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Torenbeek page 104 </text> </region> <region region-id="3041" left="108" top="74.25" width="116.25" height="12" align-x="117" align-y="84" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: For Reference ONLY </text> </region> <region region-id="3042" left="36" top="98.25" width="170.25" height="12" align-x="54" align-y="108" 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"> <inlineAttr line-through="false">Indicated Power Altitude Correction</inlineAttr> </f> </text> </region> <region region-id="3043" left="228" top="98.25" width="161.25" height="82.5" align-x="284.25" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="fr">ψ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">p</ml:id> <ml:real>1.0</ml:real> </ml:localDefine> <ml:ifThen> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:ifThen> <ml:otherwise> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">σ</ml:id> <ml:id xml:space="preserve">alt</ml:id> </ml:apply> <ml:id xml:space="preserve">p</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">σ</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:apply> <ml:id xml:space="preserve">p</ml:id> </ml:apply> </ml:apply> </ml:otherwise> </ml:program> </ml:globalDefine> </math> </region> <region region-id="3044" left="36" top="200.25" width="132" height="24" align-x="58.5" 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="true"> <f family="Arial" charset="0"> <inlineAttr line-through="false">Brake Power Altitude </inlineAttr> </f> Correction </text> </region> <region region-id="3045" left="228" top="200.25" width="150.75" height="54" align-x="281.25" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:globalDefine xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="fr">φ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">c</ml:id> <ml:real>.135</ml:real> </ml:localDefine> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="fr">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">alt</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">c</ml:id> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="fr">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> <ml:id xml:space="preserve" subscript="fr">alt</ml:id> </ml:sequence> </ml:apply> <ml:id xml:space="preserve">c</ml:id> </ml:apply> </ml:apply> </ml:program> </ml:globalDefine> </math> </region> <region region-id="3046" left="426" top="200.25" width="111" height="12" align-x="426" align-y="210" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#8080c0" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Von Mices, page 365,369 </text> </region> <region region-id="3047" left="552" top="206.25" width="88.5" height="48" align-x="561" align-y="216" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: Vary "p" and "c" to correlate to engine models more precisely </text> </region> <region region-id="3048" left="138" top="230.25" width="116.25" height="12" align-x="138" align-y="240" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff8040" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Note: For Reference ONLY </text> </region> <region region-id="3049" left="72" top="282" width="572.25" height="384.75" align-x="72" align-y="282" 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align-y="2028" 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"> <sp/> </inlineAttr> </f> </text> </region> <region region-id="3304" left="12" top="2057.25" width="699" height="15.75" align-x="12" align-y="2070" 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"> <c val="#000">Test Comparison<sp count="150"/> </c> </f> </text> </region> <region region-id="3305" left="0" top="2085" width="6008.25" align-x="8.25" align-y="2094" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="1214.25"> <area is-collapsed="false" name="" show-name="false" show-border="true" show-icon="true" 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