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0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Basics of Heat Transfer</b> </div>
 <div v:shape=3D"_x0000_s6147" class=3DB>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:25.75%;left:12.35%;width:80.52%;height:7.0%'><span style=3D'mso-specia=
l-format:
 bullet;color:#CC0000;mso-color-index:5;position:absolute;left:-6.51%;
 font-family:Wingdings'>o</span>In the simplest of terms, the </span><span
 style=3D'position:absolute;top:31.5%;left:12.35%;width:80.52%;height:7.0%'=
>discipline
 of heat transfer is </span><span style=3D'position:absolute;top:37.5%;
 left:12.35%;width:80.89%;height:7.0%'>concerned with only two things: </sp=
an><span
 style=3D'position:absolute;top:43.5%;left:12.35%;width:95.13%;height:7.0%'=
><b>temperature</b>,
 and the <b>flow of heat</b>. &#13;</span></div>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:51.0%;left:12.35%;width:91.76%;height:7.0%'><span style=3D'mso-special=
-format:
 bullet;color:#CC0000;mso-color-index:5;position:absolute;left:-5.71%;
 font-family:Wingdings'>o</span>Temperature represents the amount </span><s=
pan
 style=3D'position:absolute;top:56.99%;left:12.35%;width:93.82%;height:7.0%=
'>of
 thermal energy available, whereas </span><span style=3D'position:absolute;
 top:63.0%;left:12.35%;width:90.26%;height:7.0%'>heat flow represents the
 movement </span><span style=3D'position:absolute;top:69.0%;left:12.35%;
 width:80.52%;height:7.0%'>of thermal energy from place to </span><span
 style=3D'position:absolute;top:75.0%;left:12.35%;width:80.52%;height:7.0%'=
>place.
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 <div v:shape=3D"_x0000_s7170" class=3DT style=3D'position:absolute;top:13.=
0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Basics of Heat Transfer</b> </div>
 <div v:shape=3D"_x0000_s7171" class=3DB><span style=3D'position:absolute;t=
op:26.25%;
 left:12.35%;width:91.38%;height:6.0%'><span style=3D'font-size:87%'><span
 class=3DBB style=3D'position:absolute;left:-5.73%'>o</span></span><span
 style=3D'font-size:87%'>On a microscopic scale, thermal energy is </span><=
/span><span
 style=3D'position:absolute;top:32.0%;left:12.35%;width:92.5%;height:6.0%'>=
<span
 style=3D'font-size:87%'>related to the kinetic energy of molecules.&#13;</=
span></span><span
 style=3D'position:absolute;top:39.0%;left:12.35%;width:91.38%;height:6.0%'=
><span
 style=3D'font-size:87%'><span class=3DBB style=3D'position:absolute;left:-=
5.73%'>o</span></span><span
 style=3D'font-size:87%'>The greater a material's temperature, the </span><=
/span><span
 style=3D'position:absolute;top:44.75%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>greater the thermal agitation of its </span></span=
><span
 style=3D'position:absolute;top:50.5%;left:12.35%;width:91.94%;height:6.0%'=
><span
 style=3D'font-size:87%'>constituent molecules (manifested both in </span><=
/span><span
 style=3D'position:absolute;top:56.25%;left:12.35%;width:82.58%;height:6.0%=
'><span
 style=3D'font-size:87%'>linear motion and vibrational modes).&#13;</span><=
/span><span
 style=3D'position:absolute;top:63.24%;left:12.35%;width:92.13%;height:6.0%=
'><span
 style=3D'font-size:87%'><span class=3DBB style=3D'position:absolute;left:-=
5.69%'>o</span></span><span
 style=3D'font-size:87%'>It is natural for regions containing greater </spa=
n></span><span
 style=3D'position:absolute;top:69.0%;left:12.35%;width:80.52%;height:6.0%'=
><span
 style=3D'font-size:87%'>molecular kinetic energy to pass this </span></spa=
n><span
 style=3D'position:absolute;top:74.75%;left:12.35%;width:92.88%;height:6.0%=
'><span
 style=3D'font-size:87%'>energy to regions with less kinetic energy. &#13;<=
/span></span>
 <div style=3D'position:absolute;top:81.75%;left:7.11%;width:85.58%;height:=
6.0%'><span
 style=3D'position:absolute;top:0%;left:6.12%;width:94.09%;height:100.0%'><=
span
 style=3D'font-size:87%;visibility:hidden'><span class=3DBB style=3D'positi=
on:absolute;
 left:-6.51%'>o</span></span><span style=3D'font-size:87%;mso-special-forma=
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0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Basics of Heat Transfer</b> </div>
 <div v:shape=3D"_x0000_s8195" class=3DB><span style=3D'position:absolute;t=
op:26.25%;
 left:12.35%;width:80.52%;height:6.0%'><span style=3D'font-size:87%'><span
 class=3DBB style=3D'position:absolute;left:-6.51%'>o</span></span><span
 style=3D'font-size:87%'>Several material properties serve to </span></span=
><span
 style=3D'position:absolute;top:32.0%;left:12.35%;width:91.38%;height:6.0%'=
><span
 style=3D'font-size:87%'>modulate the heat tranfered between two </span></s=
pan><span
 style=3D'position:absolute;top:37.75%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>regions at differing temperatures.&#13;</span></sp=
an><span
 style=3D'position:absolute;top:44.75%;left:12.35%;width:89.13%;height:6.0%=
'><span
 style=3D'font-size:87%'><span class=3DBB style=3D'position:absolute;left:-=
5.88%'>o</span></span><span
 style=3D'font-size:87%'>Examples include thermal conductivities, </span></=
span><span
 style=3D'position:absolute;top:50.5%;left:12.35%;width:83.7%;height:6.0%'>=
<span
 style=3D'font-size:87%'>specific heats, material densities, fluid </span><=
/span><span
 style=3D'position:absolute;top:56.25%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>velocities, fluid viscosities, surface </span></sp=
an><span
 style=3D'position:absolute;top:62.0%;left:12.35%;width:80.52%;height:6.0%'=
><span
 style=3D'font-size:87%'>emissivities, and more.&#13;</span></span><span
 style=3D'position:absolute;top:69.0%;left:12.35%;width:91.19%;height:6.0%'=
><span
 style=3D'font-size:87%'><span class=3DBB style=3D'position:absolute;left:-=
5.74%'>o</span></span><span
 style=3D'font-size:87%'>Taken together, these properties serve to </span><=
/span><span
 style=3D'position:absolute;top:74.75%;left:12.35%;width:88.38%;height:6.0%=
'><span
 style=3D'font-size:87%'>make the solution of many heat transfer </span></s=
pan><span
 style=3D'position:absolute;top:80.5%;left:12.35%;width:80.52%;height:6.0%'=
><span
 style=3D'font-size:87%'>problems an involved process. </span></span></div>
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  href=3D"master04.xml#_x0000_s4101"/><![if !vml]><img border=3D0
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  style=3D'position:absolute;left:44.625pt;top:138pt;width:630pt;height:336=
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 <div v:shape=3D"_x0000_s15362" class=3DT style=3D'position:absolute;top:13=
.0%;
 left:7.3%;width:94.75%;height:8.75%'><b>Heat Transfer Mechanisms</b></div>
 <div v:shape=3D"_x0000_s15363">
 <div class=3DB style=3D'position:absolute;top:26.25%;left:7.11%;width:85.5=
8%;
 height:7.0%'><span style=3D'position:absolute;top:0%;left:6.12%;width:94.0=
9%;
 height:100.0%'><span class=3DBB style=3D'position:absolute;left:-6.51%'>o<=
/span>Conduction&#13;</span></div>
 <div class=3DB style=3D'position:absolute;top:34.25%;left:7.11%;width:85.5=
8%;
 height:7.0%'><span style=3D'position:absolute;top:0%;left:6.12%;width:94.0=
9%;
 height:100.0%'><span class=3DBB style=3D'position:absolute;left:-6.51%'>o<=
/span>Convection&#13;</span></div>
 <div class=3DB1 style=3D'position:absolute;top:42.0%;left:12.35%;width:80.=
52%;
 height:6.0%'><span style=3D'position:absolute;top:0%;left:6.04%;width:93.9=
5%;
 height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-6.43%'>n=
</span>Free&#13;</span></div>
 <div class=3DB1 style=3D'position:absolute;top:49.0%;left:12.35%;width:80.=
52%;
 height:6.0%'><span style=3D'position:absolute;top:0%;left:6.04%;width:93.9=
5%;
 height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-6.43%'>n=
</span>Forced&#13;</span></div>
 <div class=3DB style=3D'position:absolute;top:56.0%;left:7.11%;width:85.58=
%;
 height:7.0%'><span style=3D'position:absolute;top:0%;left:6.12%;width:94.0=
9%;
 height:100.0%'><span class=3DBB style=3D'position:absolute;left:-6.51%'>o<=
/span>Radiation</span></div>
 </div>
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0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Conduction</b> </div>
 <div v:shape=3D"_x0000_s9219" class=3DB><span style=3D'position:absolute;t=
op:26.25%;
 left:12.35%;width:80.52%;height:7.0%'><span class=3DBB style=3D'position:a=
bsolute;
 left:-6.51%'>o</span>Regions with greater molecular </span><span
 style=3D'position:absolute;top:32.75%;left:12.35%;width:93.44%;height:7.0%=
'>kinetic
 energy will pass their thermal </span><span style=3D'position:absolute;
 top:39.5%;left:12.35%;width:94.38%;height:7.0%'>energy to regions with less
 molecular </span><span style=3D'position:absolute;top:46.25%;left:12.35%;
 width:81.27%;height:7.0%'>energy through direct molecular </span><span
 style=3D'position:absolute;top:52.75%;left:12.35%;width:80.52%;height:7.0%=
'>collisions,
 a process known as </span><span style=3D'position:absolute;top:59.5%;left:=
12.35%;
 width:88.76%;height:7.0%'>conduction. In metals, a significant </span><span
 style=3D'position:absolute;top:66.25%;left:12.35%;width:86.7%;height:7.0%'=
>portion
 of the transported thermal </span><span style=3D'position:absolute;top:72.=
75%;
 left:12.35%;width:93.25%;height:7.0%'>energy is also carried by conduction=
-</span><span
 style=3D'position:absolute;top:79.5%;left:12.35%;width:80.52%;height:7.0%'=
>band
 electrons. </span></div>
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  href=3D"master04.xml#_x0000_s4102"/><p:shaperange
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  href=3D"master04.xml#_x0000_m4098"/><v:shape id=3D"_x0000_s13314" type=3D=
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  href=3D"master04.xml#_x0000_m4099"/><v:shape id=3D"_x0000_s13315" type=3D=
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.0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Convection - Free</b> </div>
 <div v:shape=3D"_x0000_s13315" class=3DB><span style=3D'position:absolute;
 top:26.25%;left:12.35%;width:87.07%;height:6.0%'><span style=3D'font-size:=
87%'><span
 class=3DBB style=3D'position:absolute;left:-6.02%'>o</span></span><span
 style=3D'font-size:87%'>When heat conducts into a static fluid it </span><=
/span><span
 style=3D'position:absolute;top:32.0%;left:12.35%;width:82.39%;height:6.0%'=
><span
 style=3D'font-size:87%'>leads to a local volumetric expansion.&#13;</span>=
</span><span
 style=3D'position:absolute;top:39.0%;left:12.35%;width:85.01%;height:6.0%'=
><span
 style=3D'font-size:87%'><span class=3DBB style=3D'position:absolute;left:-=
6.16%'>o</span></span><span
 style=3D'font-size:87%'>As a result of gravity-induced pressure </span></s=
pan><span
 style=3D'position:absolute;top:44.75%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>gradients, the expanded fluid parcel </span></span=
><span
 style=3D'position:absolute;top:50.5%;left:12.35%;width:89.32%;height:6.0%'=
><span
 style=3D'font-size:87%'>becomes buoyant and displaces, thereby </span></sp=
an><span
 style=3D'position:absolute;top:56.25%;left:12.35%;width:82.77%;height:6.0%=
'><span
 style=3D'font-size:87%'>transporting heat by fluid motion (i.e. </span></s=
pan><span
 style=3D'position:absolute;top:62.0%;left:12.35%;width:82.39%;height:6.0%'=
><span
 style=3D'font-size:87%'>convection) in addition to conduction.&#13;</span>=
</span><span
 style=3D'position:absolute;top:69.0%;left:12.35%;width:91.01%;height:6.0%'=
><span
 style=3D'font-size:87%'><span class=3DBB style=3D'position:absolute;left:-=
5.76%'>o</span></span><span
 style=3D'font-size:87%'>Such heat-induced fluid motion in initially </span=
></span><span
 style=3D'position:absolute;top:74.75%;left:12.35%;width:87.07%;height:6.0%=
'><span
 style=3D'font-size:87%'>static fluids is known as </span><span style=3D'fo=
nt-size:
 87%'><b>free (natural) </b></span></span><span style=3D'position:absolute;
 top:80.5%;left:12.35%;width:80.52%;height:6.0%'><span style=3D'font-size:8=
7%'><b>convection</b></span><span
 style=3D'font-size:87%'>. </span></span></div>
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  href=3D"master04.xml#_x0000_s4103"/><![endif]><p:shaperange
  href=3D"master04.xml#_x0000_m4098"/><v:shape id=3D"_x0000_s16386" type=3D=
"#_x0000_m4098"
  style=3D'position:absolute;left:45.25pt;top:24pt;width:630pt;height:95.75=
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  href=3D"master04.xml#_x0000_m4099"/><v:shape id=3D"_x0000_s16387" type=3D=
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 left:7.3%;width:85.58%;height:8.75%'><b>Convection - Forced</b> </div>
 <div v:shape=3D"_x0000_s16387" class=3DB>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:25.75%;left:12.35%;width:95.69%;height:7.0%'><span style=3D'mso-specia=
l-format:
 bullet;color:#CC0000;mso-color-index:5;position:absolute;left:-5.47%;
 font-family:Wingdings'>o</span>For cases where the fluid is already in </s=
pan><span
 style=3D'position:absolute;top:31.5%;left:12.35%;width:93.63%;height:7.0%'=
>motion,
 heat conducted into the fluid </span><span style=3D'position:absolute;
 top:37.5%;left:12.35%;width:87.82%;height:7.0%'>will be transported away
 chiefly by </span><span style=3D'position:absolute;top:43.5%;left:12.35%;
 width:80.52%;height:7.0%'>fluid convection.&#13;</span></div>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:51.0%;left:12.35%;width:80.52%;height:7.0%'><span style=3D'mso-special=
-format:
 bullet;color:#CC0000;mso-color-index:5;position:absolute;left:-6.51%;
 font-family:Wingdings'>o</span>These cases, known as <b>forced </b></span>=
<span
 style=3D'position:absolute;top:56.99%;left:12.35%;width:80.52%;height:7.0%=
'><b>convection</b>,
 require a pressure </span><span style=3D'position:absolute;top:63.0%;left:=
12.35%;
 width:92.88%;height:7.0%'>gradient to drive the fluid motion, as </span><s=
pan
 style=3D'position:absolute;top:69.0%;left:12.35%;width:81.46%;height:7.0%'=
>opposed
 to a gravity gradient to </span><span style=3D'position:absolute;top:75.0%;
 left:12.35%;width:85.01%;height:7.0%'>induce motion through buoyancy. </sp=
an></div>
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.0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Radiation</b> </div>
 <div v:shape=3D"_x0000_s14339" class=3DB>
 <div style=3D'mso-line-spacing:"80 20 0"'><span style=3D'position:absolute;
 top:26.25%;left:10.29%;width:84.45%;height:6.0%'><span style=3D'font-size:=
87%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-5.98%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>All materials radiate thermal energy in </span></s=
pan><span
 style=3D'position:absolute;top:31.0%;left:10.29%;width:94.19%;height:6.0%'=
><span
 style=3D'font-size:87%'>amounts determined by their temperature, </span></=
span><span
 style=3D'position:absolute;top:35.5%;left:10.29%;width:91.57%;height:6.0%'=
><span
 style=3D'font-size:87%'>where the energy is carried by photons of </span><=
/span><span
 style=3D'position:absolute;top:40.25%;left:10.29%;width:100.56%;height:6.0=
%'><span
 style=3D'font-size:87%'>light in the infrared and visible portions of the =
</span></span><span
 style=3D'position:absolute;top:44.75%;left:10.29%;width:84.26%;height:6.0%=
'><span
 style=3D'font-size:87%'>electromagnetic spectrum.&#13;</span></span></div>
 <div style=3D'mso-line-spacing:"80 20 0"'><span style=3D'position:absolute;
 top:50.74%;left:10.29%;width:101.12%;height:6.0%'><span style=3D'font-size=
:87%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-5.0%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>When temperatures are uniform, the radiative </spa=
n></span><span
 style=3D'position:absolute;top:55.25%;left:10.29%;width:98.12%;height:6.0%=
'><span
 style=3D'font-size:87%'>flux between objects is in equilibrium and no </sp=
an></span><span
 style=3D'position:absolute;top:60.0%;left:10.29%;width:84.26%;height:6.0%'=
><span
 style=3D'font-size:87%'>net thermal energy is exchanged.&#13;</span></span=
></div>
 <div style=3D'mso-line-spacing:"80 20 0"'><span style=3D'position:absolute;
 top:65.75%;left:10.29%;width:97.56%;height:6.0%'><span style=3D'font-size:=
87%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-5.18%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>The balance is upset when temperatures are </span>=
</span><span
 style=3D'position:absolute;top:70.25%;left:10.29%;width:84.26%;height:6.0%=
'><span
 style=3D'font-size:87%'>not uniform, and thermal energy is </span></span><=
span
 style=3D'position:absolute;top:75.0%;left:10.29%;width:84.26%;height:6.0%'=
><span
 style=3D'font-size:87%'>transported from surfaces of higher to </span></sp=
an><span
 style=3D'position:absolute;top:79.5%;left:10.29%;width:84.26%;height:6.0%'=
><span
 style=3D'font-size:87%'>surfaces of lower temperature. </span></span></div>
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.0%;
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rier
 Law of Heat Conduction</b></span><span style=3D'font-size:89%'> </span></d=
iv>
 <div v:shape=3D"_x0000_s10243" class=3DHB><span style=3D'position:absolute;
 top:26.25%;left:12.35%;width:92.13%;height:6.0%'><span class=3DHBB
 style=3D'position:absolute;left:-5.69%'>o</span>When there exists a temper=
ature
 gradient </span><span style=3D'position:absolute;top:32.0%;left:12.35%;
 width:89.7%;height:6.0%'>within a body, heat energy will flow from </span>=
<span
 style=3D'position:absolute;top:37.75%;left:12.35%;width:97.37%;height:6.0%=
'>the
 region of high temperature to the region </span><span style=3D'position:ab=
solute;
 top:43.5%;left:12.35%;width:81.83%;height:6.0%'>of low temperature.&#13;</=
span><span
 style=3D'position:absolute;top:50.5%;left:12.35%;width:91.19%;height:6.0%'=
><span
 class=3DHBB style=3D'position:absolute;left:-5.74%'>o</span>This phenomeno=
n is
 known as conduction </span><span style=3D'position:absolute;top:56.25%;
 left:12.35%;width:96.81%;height:6.0%'>heat transfer, and is described by <=
b>Fourier's
 </b></span><span style=3D'position:absolute;top:62.0%;left:12.35%;width:81=
.83%;
 height:6.0%'><b>Law</b>, </span></div>
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rier
 Law of Heat Conduction</b></span><span style=3D'font-size:89%'> </span></d=
iv>
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 <div style=3D'position:absolute;top:26.25%;left:7.11%;width:86.89%;height:=
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span
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eft:-6.4%'>o</span></span>&#13;</span></div>
 <div style=3D'position:absolute;top:33.25%;left:7.11%;width:86.89%;height:=
6.0%'><span
 style=3D'position:absolute;top:0%;left:6.03%;width:94.18%;height:100.0%'><=
span
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eft:-6.4%'>o</span></span>&#13;</span></div>
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.0%'><span
 style=3D'position:absolute;top:0%;left:6.03%;width:94.18%;height:100.0%'><=
span
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.0%'><span
 style=3D'position:absolute;top:0%;left:6.03%;width:94.18%;height:100.0%'><=
span
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i></b>
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.0%;
 left:7.3%;width:100.93%;height:7.75%'><span style=3D'font-size:89%'><b>Fou=
rier
 Law of Heat Conduction</b></span></div>
 <div v:shape=3D"_x0000_s28675" class=3DHB><span style=3D'position:absolute;
 top:26.25%;left:12.35%;width:91.01%;height:5.25%'><span style=3D'font-size=
:85%'><span
 class=3DHBB style=3D'position:absolute;left:-5.76%'>o</span></span><span
 style=3D'font-size:85%'>For common applications the Fourier Law of Heat </=
span></span><span
 style=3D'position:absolute;top:31.0%;left:12.35%;width:80.89%;height:5.25%=
'><span
 style=3D'font-size:85%'>Conduction is recast in the following form,&#13;</=
span></span>
 <div style=3D'position:absolute;top:37.0%;left:7.11%;width:86.14%;height:5=
.25%'><span
 style=3D'position:absolute;top:0%;left:6.08%;width:93.91%;height:100.0%'><=
span
 style=3D'font-size:85%;visibility:hidden'><span class=3DHBB style=3D'posit=
ion:absolute;
 left:-6.48%'>o</span></span><span style=3D'font-size:85%;display:none'>&#1=
3;</span></span></div>
 <div style=3D'position:absolute;top:42.75%;left:7.11%;width:86.14%;height:=
5.25%'><span
 style=3D'position:absolute;top:0%;left:6.08%;width:93.91%;height:100.0%'><=
span
 style=3D'font-size:85%;visibility:hidden'><span class=3DHBB style=3D'posit=
ion:absolute;
 left:-6.48%'>o</span></span><span style=3D'font-size:85%;display:none'>&#1=
3;</span></span></div>
 <div style=3D'position:absolute;top:48.75%;left:7.11%;width:86.14%;height:=
5.25%'><span
 style=3D'position:absolute;top:0%;left:6.08%;width:93.91%;height:100.0%'><=
span
 style=3D'font-size:85%;visibility:hidden'><span class=3DHBB style=3D'posit=
ion:absolute;
 left:-6.48%'>o</span></span><span style=3D'font-size:85%;display:none'>&#1=
3;</span></span></div>
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:5.25%'><span
 style=3D'font-size:85%'><span class=3DHBB style=3D'position:absolute;left:=
-5.74%'>o</span></span><span
 style=3D'font-size:85%'>where </span><span style=3D'font-size:85%'><b><i>A=
</i></b></span><span
 style=3D'font-size:85%'> is the cross sectional area normal to the </span>=
</span><span
 style=3D'position:absolute;top:59.5%;left:12.35%;width:95.31%;height:5.25%=
'><span
 style=3D'font-size:85%'>direction of heat flow and the temperature gradien=
t </span></span><span
 style=3D'position:absolute;top:64.25%;left:12.35%;width:80.89%;height:6.0%=
'><span
 style=3D'font-size:85%'>is represented as,</span><span
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span
 style=3D'visibility:hidden'><span class=3DHBB style=3D'position:absolute;l=
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span
 style=3D'visibility:hidden'><span class=3DHBB style=3D'position:absolute;l=
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.0%;
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rier
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7.11%;
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 <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:44.75%;
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dden'><span
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l-format:
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 font-family:Wingdings'>o</span>where <b><i>Q</i></b> is the heat flow rate=
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 top:26.25%;left:12.35%;width:81.83%;height:5.25%'><span style=3D'font-size=
:85%'><span
 class=3DHBB style=3D'position:absolute;left:-6.4%'>o</span></span><span
 style=3D'font-size:85%'>Instead of using </span><span style=3D'font-size:8=
5%'><i>k/t</i></span><span
 style=3D'font-size:85%'> values, most insulation </span></span><span
 style=3D'position:absolute;top:31.0%;left:12.35%;width:81.83%;height:5.25%=
'><span
 style=3D'font-size:85%'>manufacturers report R-values.&#13;</span></span><=
span
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'><span
 style=3D'font-size:85%'><span class=3DHBB style=3D'position:absolute;left:=
-5.45%'>o</span></span><span
 style=3D'font-size:85%'>R-values are the inverse of </span><span
 style=3D'font-size:85%'><i>k/t</i></span><span style=3D'font-size:85%'> va=
lues and
 therefore </span></span><span style=3D'position:absolute;top:41.75%;left:1=
2.35%;
 width:94.56%;height:5.25%'><span style=3D'font-size:85%'>numerically
 larger.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Is this a marketing
 tool?<span style=3D'mso-spacerun:yes'>&nbsp; </span>Units </span></span><s=
pan
 style=3D'position:absolute;top:46.75%;left:12.35%;width:81.83%;height:6.0%=
'><span
 style=3D'font-size:85%'>for R-values are as follows:</span><span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span></div>
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 <div v:shape=3D"_x0000_s49154" class=3DT style=3D'position:absolute;top:13=
.0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Conduction Example</b></div>
 <div v:shape=3D"_x0000_s49155" class=3DB><span style=3D'position:absolute;
 top:26.25%;left:12.35%;width:80.52%;height:7.0%'><span class=3DBB
 style=3D'position:absolute;left:-6.51%'>o</span>What is the rate of heat l=
oss </span><span
 style=3D'position:absolute;top:32.75%;left:12.35%;width:85.39%;height:7.0%=
'>(Btu/hr/ft<span
 style=3D'font-size:67%;position:relative;top:-.45em;mso-text-raise:30%'>2<=
/span>)
 through a 12 in. thick </span><span style=3D'position:absolute;top:39.5%;
 left:12.35%;width:93.82%;height:7.0%'>concrete wall if one surface is held=
 at </span><span
 style=3D'position:absolute;top:46.25%;left:12.35%;width:80.52%;height:7.0%=
'>70<span
 style=3D'font-size:67%;position:relative;top:-.45em;mso-text-raise:30%'>o<=
/span>F
 and the other is at 30<span style=3D'font-size:67%;position:relative;top:-=
.45em;
 mso-text-raise:30%'>o</span>F?</span></div>
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  href=3D"master04.xml#_x0000_s4100"/><![if !vml]><img border=3D0
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  href=3D"master04.xml#_x0000_s4102"/><p:shaperange
  href=3D"master04.xml#_x0000_s4103"/><![endif]><p:shaperange
  href=3D"master04.xml#_x0000_m4098"/><v:shape id=3D"_x0000_s11266" type=3D=
"#_x0000_m4098"
  style=3D'position:absolute;left:45.25pt;top:24pt;width:630pt;height:95.75=
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  o:userdrawn=3D"f">
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  <p:placeholder type=3D"title"/></v:shape><p:shaperange
  href=3D"master04.xml#_x0000_m4099"/><v:shape id=3D"_x0000_s11267" type=3D=
"#_x0000_m4099"
  style=3D'position:absolute;left:44.625pt;top:138pt;width:630pt;height:336=
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  o:userdrawn=3D"f">
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 <div v:shape=3D"_x0000_s11266" class=3DT style=3D'position:absolute;top:13=
.0%;
 left:7.3%;width:90.63%;height:8.75%'><b>Convection Heat Transfer</b> </div>
 <div v:shape=3D"_x0000_s11267" class=3DB><span style=3D'position:absolute;
 top:26.25%;left:12.35%;width:92.88%;height:6.0%'><span style=3D'font-size:=
87%'><span
 class=3DBB style=3D'position:absolute;left:-5.64%'>o</span></span><span
 style=3D'font-size:87%'>Heat energy transfers between a solid and </span><=
/span><span
 style=3D'position:absolute;top:32.0%;left:12.35%;width:80.52%;height:6.0%'=
><span
 style=3D'font-size:87%'>a fluid when there is a temperature </span></span>=
<span
 style=3D'position:absolute;top:37.75%;left:12.35%;width:92.32%;height:6.0%=
'><span
 style=3D'font-size:87%'>difference between the fluid and the solid.&#13;</=
span></span>
 <div style=3D'position:absolute;top:44.75%;left:7.11%;width:101.49%;height=
:6.0%'><span
 style=3D'position:absolute;top:0%;left:5.16%;width:94.83%;height:100.0%'><=
span
 style=3D'font-size:87%'><span class=3DBB style=3D'position:absolute;left:-=
5.44%'>o</span></span><span
 style=3D'font-size:87%'>This is known as &#8220;convection heat
 transfer.&#8221;&#13;</span></span></div>
 <span style=3D'position:absolute;top:51.74%;left:12.35%;width:94.75%;heigh=
t:
 6.0%'><span style=3D'font-size:87%'><span class=3DBB style=3D'position:abs=
olute;
 left:-5.53%'>o</span></span><span style=3D'font-size:87%'>Generally, conve=
ction
 heat transfer can not </span></span><span style=3D'position:absolute;top:5=
7.49%;
 left:12.35%;width:93.07%;height:6.0%'><span style=3D'font-size:87%'>be ign=
ored
 when there is a significant fluid </span></span><span style=3D'position:ab=
solute;
 top:63.24%;left:12.35%;width:80.52%;height:6.0%'><span style=3D'font-size:=
87%'>motion
 around the solid. </span></span></div>
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.0%;
 left:7.3%;width:90.63%;height:8.75%'><b>Convection Heat Transfer</b> </div>
 <div v:shape=3D"_x0000_s20483" class=3DB>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:25.75%;left:12.35%;width:84.83%;height:6.0%'><span style=3D'font-size:=
87%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-6.18%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>The temperature of the solid due to an </span></sp=
an><span
 style=3D'position:absolute;top:31.0%;left:12.35%;width:88.95%;height:6.0%'=
><span
 style=3D'font-size:87%'>external field such as fluid buoyancy can </span><=
/span><span
 style=3D'position:absolute;top:36.0%;left:12.35%;width:80.52%;height:6.0%'=
><span
 style=3D'font-size:87%'>induce a fluid motion.&#13;</span></span></div>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:42.5%;left:12.35%;width:95.88%;height:6.0%'><span style=3D'font-size:8=
7%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-5.46%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>This is known as &#8220;natural convection&#8221; =
and it
 </span></span><span style=3D'position:absolute;top:47.75%;left:12.35%;
 width:85.2%;height:6.0%'><span style=3D'font-size:87%'>is a strong functio=
n of
 the temperature </span></span><span style=3D'position:absolute;top:53.0%;
 left:12.35%;width:92.32%;height:6.0%'><span style=3D'font-size:87%'>differ=
ence
 between the solid and the fluid.&#13;</span></span></div>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:59.25%;left:12.35%;width:94.75%;height:6.0%'><span style=3D'font-size:=
87%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-5.53%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>Blowing air over the solid by using external </spa=
n></span><span
 style=3D'position:absolute;top:64.5%;left:12.35%;width:89.88%;height:6.0%'=
><span
 style=3D'font-size:87%'>devices such as fans and pumps can also </span></s=
pan><span
 style=3D'position:absolute;top:69.75%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>generate a fluid motion.&#13;</span></span></div>
 <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:76.0%;left:=
7.11%;
 width:86.7%;height:6.0%'><span style=3D'position:absolute;top:0%;left:6.04=
%;
 width:94.16%;height:100.0%'><span style=3D'font-size:87%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-6.42%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>This is known as &#8220;forced convection.&#8221; =
</span></span></div>
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.0%;
 left:7.3%;width:90.63%;height:8.75%'><b>Convection Heat Transfer</b> </div>
 <div v:shape=3D"_x0000_s21507" class=3DB>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:25.75%;left:12.35%;width:81.46%;height:6.0%'><span style=3D'font-size:=
87%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-6.43%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>Fluid mechanics plays a major role in </span></spa=
n><span
 style=3D'position:absolute;top:31.0%;left:12.35%;width:82.58%;height:6.0%'=
><span
 style=3D'font-size:87%'>determining convection heat transfer.&#13;</span><=
/span></div>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:37.25%;left:12.35%;width:91.57%;height:6.0%'><span style=3D'font-size:=
87%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-5.72%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>For each kind of convection heat transfer, </span>=
</span><span
 style=3D'position:absolute;top:42.5%;left:12.35%;width:82.58%;height:6.0%'=
><span
 style=3D'font-size:87%'>the fluid flow can be either laminar or </span></s=
pan><span
 style=3D'position:absolute;top:47.75%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>turbulent.&#13;</span></span></div>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:54.0%;left:12.35%;width:92.32%;height:6.0%'><span style=3D'font-size:8=
7%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-5.67%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>Laminar flow generally occurs in relatively </span=
></span><span
 style=3D'position:absolute;top:59.25%;left:12.35%;width:96.44%;height:6.0%=
'><span
 style=3D'font-size:87%'>low velocities in a smooth laminar boundary </span=
></span><span
 style=3D'position:absolute;top:64.5%;left:12.35%;width:84.26%;height:6.0%'=
><span
 style=3D'font-size:87%'>layer over smooth small objects, while </span></sp=
an><span
 style=3D'position:absolute;top:69.75%;left:12.35%;width:88.38%;height:6.0%=
'><span
 style=3D'font-size:87%'>turbulent flow forms when the boundary </span></sp=
an><span
 style=3D'position:absolute;top:75.0%;left:12.35%;width:94.38%;height:6.0%'=
><span
 style=3D'font-size:87%'>layer is shedding or breaking due to higher </span=
></span><span
 style=3D'position:absolute;top:80.0%;left:12.35%;width:80.52%;height:6.0%'=
><span
 style=3D'font-size:87%'>velocities or rough geometries. </span></span></di=
v>
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span
 style=3D'font-size:87%;visibility:hidden'><span class=3DBB style=3D'positi=
on:absolute;
 left:-6.51%'>o</span></span><span style=3D'font-size:87%;display:none'>&#1=
3;</span></span></div>
 <div style=3D'position:absolute;top:33.25%;left:7.11%;width:85.58%;height:=
6.0%'><span
 style=3D'position:absolute;top:0%;left:6.12%;width:94.09%;height:100.0%'><=
span
 style=3D'font-size:87%;visibility:hidden'><span class=3DBB style=3D'positi=
on:absolute;
 left:-6.51%'>o</span></span><span style=3D'font-size:87%;display:none'>&#1=
3;</span></span></div>
 <div style=3D'position:absolute;top:40.0%;left:7.11%;width:85.58%;height:6=
.0%'><span
 style=3D'position:absolute;top:0%;left:6.12%;width:94.09%;height:100.0%'><=
span
 style=3D'font-size:87%;visibility:hidden'><span class=3DBB style=3D'positi=
on:absolute;
 left:-6.51%'>o</span></span><span style=3D'font-size:87%;display:none'>&#1=
3;</span></span></div>
 <span style=3D'position:absolute;top:47.0%;left:12.35%;width:90.07%;height=
:6.0%'><span
 style=3D'font-size:87%'><span class=3DBB style=3D'position:absolute;left:-=
5.82%'>o</span></span><span
 style=3D'font-size:87%'>Where the rate of heat transferred to the </span><=
/span><span
 style=3D'position:absolute;top:52.75%;left:12.35%;width:93.63%;height:6.0%=
'><span
 style=3D'font-size:87%'>surrounding fluid (</span><span style=3D'font-size=
:87%'><b><i>Q</i></b></span><span
 style=3D'font-size:87%'>) is proportional (</span><span style=3D'font-size=
:87%'><b><i>h</i></b></span><span
 style=3D'font-size:87%'>) to </span></span><span style=3D'position:absolut=
e;
 top:58.5%;left:12.35%;width:80.89%;height:6.0%'><span style=3D'font-size:8=
7%'>the
 object's exposed area </span><span style=3D'font-size:87%'><b><i>A</i></b>=
</span><span
 style=3D'font-size:87%'>, and the </span></span><span style=3D'position:ab=
solute;
 top:64.5%;left:12.35%;width:82.58%;height:6.0%'><span style=3D'font-size:8=
7%'>difference
 between the object surface </span></span><span style=3D'position:absolute;
 top:70.25%;left:12.35%;width:91.38%;height:6.0%'><span style=3D'font-size:=
87%'>temperature,
 </span><span style=3D'font-size:87%'><b><i>T</i></b></span><span
 style=3D'font-size:57%;position:relative;top:.37em;mso-text-raise:-25%'><b=
><i>s</i></b></span><span
 style=3D'font-size:87%'><span style=3D'mso-spacerun:yes'>&nbsp;</span>and =
the
 fluid free-stream </span></span><span style=3D'position:absolute;top:76.0%;
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ature,
 </span><span style=3D'font-size:87%'><b><i>T</i></b></span><span
 style=3D'font-size:57%;position:relative;top:.37em;mso-text-raise:-25%'><b=
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 <div v:shape=3D"_x0000_s26626" class=3DT style=3D'position:absolute;top:13=
.0%;
 left:7.3%;width:88.2%;height:8.75%'><b>Newton's Law of Cooling</b> </div>
 <div v:shape=3D"_x0000_s26627" class=3DB><span style=3D'position:absolute;
 top:26.25%;left:12.35%;width:88.95%;height:7.0%'><span class=3DBB
 style=3D'position:absolute;left:-5.89%'>o</span>The constant of proportion=
ality <b><i>h</i></b>
 is </span><span style=3D'position:absolute;top:32.75%;left:12.35%;width:94=
.0%;
 height:7.0%'>termed the &#8220;<i>convection heat-transfer </i></span><span
 style=3D'position:absolute;top:39.5%;left:12.35%;width:80.52%;height:7.0%'=
><i>coefficient</i>.&#8221;&#13;</span><span
 style=3D'position:absolute;top:47.5%;left:12.35%;width:96.25%;height:7.0%'=
><span
 class=3DBB style=3D'position:absolute;left:-5.44%'>o</span>Other terms des=
cribing <b><i>h</i></b>
 include &#8220;<i>film </i></span><span style=3D'position:absolute;top:54.=
25%;
 left:12.35%;width:89.88%;height:7.0%'><i>coefficient&#8221;</i> and &#8220=
;<i>film
 conductance</i>.&#8221; </span></div>
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 <div v:shape=3D"_x0000_s55299" class=3DB><span style=3D'position:absolute;
 top:26.25%;left:12.35%;width:89.88%;height:7.0%'><span class=3DBB
 style=3D'position:absolute;left:-5.83%'>o</span>At what rate is heat being=
 lost
 from </span><span style=3D'position:absolute;top:32.75%;left:12.35%;width:=
91.94%;
 height:7.0%'>the outside of a residential structure </span><span
 style=3D'position:absolute;top:39.5%;left:12.35%;width:80.52%;height:7.0%'=
>(Btu/hr/ft<span
 style=3D'font-size:67%;position:relative;top:-.45em;mso-text-raise:30%'>2<=
/span>)?<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>The surface </span><span
 style=3D'position:absolute;top:46.25%;left:12.35%;width:85.58%;height:7.0%=
'>temperature
 of the exterior of the </span><span style=3D'position:absolute;top:52.75%;
 left:12.35%;width:83.52%;height:7.0%'>home is 50<span style=3D'font-size:6=
7%;
 position:relative;top:-.45em;mso-text-raise:30%'>o</span>F and the outdoor=
 air
 </span><span style=3D'position:absolute;top:59.5%;left:12.35%;width:80.52%;
 height:7.0%'>temperature<span style=3D'font-size:67%;position:relative;
 top:-.45em;mso-text-raise:30%'> </span>20<span style=3D'font-size:67%;
 position:relative;top:-.45em;mso-text-raise:30%'>o</span>F.</span></div>
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 <div v:shape=3D"_x0000_s34818" class=3DT style=3D'position:absolute;top:13=
.0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Radiation Heat Transfer</b> </div>
 <div v:shape=3D"_x0000_s34819" class=3DB><span style=3D'position:absolute;
 top:26.25%;left:12.35%;width:89.88%;height:6.0%'><span style=3D'font-size:=
87%'><span
 class=3DBB style=3D'position:absolute;left:-5.83%'>o</span></span><span
 style=3D'font-size:87%'>Radiation heat transfer is concerned with </span><=
/span><span
 style=3D'position:absolute;top:32.0%;left:12.35%;width:91.01%;height:6.0%'=
><span
 style=3D'font-size:87%'>the exchange of thermal radiation energy </span></=
span><span
 style=3D'position:absolute;top:37.75%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>between two or more bodies.&#13;</span></span><span
 style=3D'position:absolute;top:44.75%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'><span class=3DBB style=3D'position:absolute;left:-=
6.51%'>o</span></span><span
 style=3D'font-size:87%'>Thermal radiation is defined as </span></span><span
 style=3D'position:absolute;top:50.5%;left:12.35%;width:96.25%;height:6.0%'=
><span
 style=3D'font-size:87%'>electromagnetic radiation in the wavelength </span=
></span><span
 style=3D'position:absolute;top:56.25%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>range of 0.1 to 100 microns (which </span></span><=
span
 style=3D'position:absolute;top:62.0%;left:12.35%;width:93.82%;height:6.0%'=
><span
 style=3D'font-size:87%'>encompasses the visible light regime), and </span>=
</span><span
 style=3D'position:absolute;top:67.75%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>arises as a result of a temperature </span></span>=
<span
 style=3D'position:absolute;top:73.75%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>difference between two bodies. </span></span></div>
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.0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Radiation Heat Transfer</b></div>
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 top:26.25%;left:12.35%;width:89.7%;height:7.0%'><span class=3DBB
 style=3D'position:absolute;left:-5.84%'>o</span>No medium need exist betwe=
en the
 </span><span style=3D'position:absolute;top:32.75%;left:12.35%;width:89.7%;
 height:7.0%'>two bodies for heat transfer to take </span><span
 style=3D'position:absolute;top:39.5%;left:12.35%;width:85.58%;height:7.0%'=
>place
 (as is needed by conduction </span><span style=3D'position:absolute;top:46=
.25%;
 left:12.35%;width:80.52%;height:7.0%'>and convection).&#13;</span><span
 style=3D'position:absolute;top:54.25%;left:12.35%;width:80.52%;height:7.0%=
'><span
 class=3DBB style=3D'position:absolute;left:-6.51%'>o</span>Rather, the
 intermediaries are </span><span style=3D'position:absolute;top:60.75%;
 left:12.35%;width:92.32%;height:7.0%'>photons which travel at the speed of=
 </span><span
 style=3D'position:absolute;top:67.5%;left:12.35%;width:80.52%;height:7.0%'=
>light.
 </span></div>
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  href=3D"master04.xml#_x0000_s4102"/><p:shaperange
  href=3D"master04.xml#_x0000_s4103"/><![endif]><p:shaperange
  href=3D"master04.xml#_x0000_m4098"/><v:shape id=3D"_x0000_s36866" type=3D=
"#_x0000_m4098"
  style=3D'position:absolute;left:45.25pt;top:24pt;width:630pt;height:95.75=
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  o:userdrawn=3D"f">
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
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  href=3D"master04.xml#_x0000_m4099"/><v:shape id=3D"_x0000_s36867" type=3D=
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  style=3D'position:absolute;left:44.625pt;top:138pt;width:630pt;height:336=
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 <div v:shape=3D"_x0000_s36866" class=3DT style=3D'position:absolute;top:13=
.0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Radiation Heat Transfer</b></div>
 <div v:shape=3D"_x0000_s36867" class=3DB>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:25.75%;left:12.35%;width:82.02%;height:6.0%'><span style=3D'font-size:=
87%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-6.39%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>The heat transferred into or out of an </span></sp=
an><span
 style=3D'position:absolute;top:31.0%;left:12.35%;width:93.25%;height:6.0%'=
><span
 style=3D'font-size:87%'>object by thermal radiation is a function of </spa=
n></span><span
 style=3D'position:absolute;top:36.0%;left:12.35%;width:80.52%;height:6.0%'=
><span
 style=3D'font-size:87%'>several components.&#13;</span></span></div>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:42.5%;left:12.35%;width:80.52%;height:6.0%'><span style=3D'font-size:8=
7%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-6.51%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>These include its surface reflectivity, </span></s=
pan><span
 style=3D'position:absolute;top:47.75%;left:12.35%;width:93.44%;height:6.0%=
'><span
 style=3D'font-size:87%'>emissivity, surface area, temperature, and </span>=
</span><span
 style=3D'position:absolute;top:53.0%;left:12.35%;width:94.0%;height:6.0%'>=
<span
 style=3D'font-size:87%'>geometric orientation with respect to other </span=
></span><span
 style=3D'position:absolute;top:57.99%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>thermally participating objects.&#13;</span></span=
></div>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:64.5%;left:12.35%;width:93.44%;height:6.0%'><span style=3D'font-size:8=
7%'><span
 style=3D'mso-special-format:bullet;color:#CC0000;mso-color-index:5;positio=
n:
 absolute;left:-5.61%;font-family:Wingdings'>o</span></span><span
 style=3D'font-size:87%'>In turn, an object's surface reflectivity and </sp=
an></span><span
 style=3D'position:absolute;top:69.75%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>emissivity is a function of its surface </span></s=
pan><span
 style=3D'position:absolute;top:75.0%;left:12.35%;width:85.76%;height:6.0%'=
><span
 style=3D'font-size:87%'>conditions (roughness, finish, etc.) and </span></=
span><span
 style=3D'position:absolute;top:80.0%;left:12.35%;width:80.52%;height:6.0%'=
><span
 style=3D'font-size:87%'>composition. </span></span></div>
 </div>
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 style=3D'position:absolute;left:-5.9%'>o</span>Radiation heat transfer must
 account for </span><span style=3D'position:absolute;top:32.0%;left:12.35%;
 width:82.58%;height:6.0%'>both incoming and outgoing thermal </span><span
 style=3D'position:absolute;top:37.75%;left:12.35%;width:82.58%;height:6.0%=
'>radiation.
 &#13;</span><span style=3D'position:absolute;top:44.75%;left:12.35%;width:=
94.56%;
 height:6.0%'><span class=3DHBB style=3D'position:absolute;left:-5.54%'>o</=
span>Incoming
 radiation can be either absorbed, </span><span style=3D'position:absolute;
 top:50.5%;left:12.35%;width:82.58%;height:6.0%'>reflected, or
 transmitted.&#13;</span><span style=3D'position:absolute;top:57.49%;left:1=
2.35%;
 width:96.81%;height:6.0%'><span class=3DHBB style=3D'position:absolute;lef=
t:-5.41%'>o</span>This
 decomposition can be expressed by the </span><span style=3D'position:absol=
ute;
 top:63.24%;left:12.35%;width:82.58%;height:6.0%'>relative fractions,</span=
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  <o:lock v:ext=3D"edit" text=3D"f"/>
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  href=3D"master04.xml#_x0000_m4099"/><v:shape id=3D"_x0000_s39939" type=3D=
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  style=3D'position:absolute;left:44.625pt;top:138pt;width:630pt;height:336=
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  o:userdrawn=3D"f">
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  <v:stroke o:forcedash=3D"f"/>
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 <div v:shape=3D"_x0000_s39938" class=3DT style=3D'position:absolute;top:13=
.0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Radiation Heat Transfer</b></div>
 <div v:shape=3D"_x0000_s39939" class=3DB><span style=3D'position:absolute;
 top:26.25%;left:12.35%;width:92.5%;height:6.0%'><span style=3D'font-size:8=
7%'><span
 class=3DBB style=3D'position:absolute;left:-5.66%'>o</span></span><span
 style=3D'font-size:87%'>To account for a body's outgoing radiation </span>=
</span><span
 style=3D'position:absolute;top:32.0%;left:12.35%;width:93.63%;height:6.0%'=
><span
 style=3D'font-size:87%'>(or its </span><span style=3D'font-size:87%'><i>em=
issive
 power</i></span><span style=3D'font-size:87%'>, defined as the heat </span=
></span><span
 style=3D'position:absolute;top:37.75%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>flux per unit time), one makes a </span></span><sp=
an
 style=3D'position:absolute;top:43.5%;left:12.35%;width:94.38%;height:6.0%'=
><span
 style=3D'font-size:87%'>comparison to a perfect body who emits as </span><=
/span><span
 style=3D'position:absolute;top:49.25%;left:12.35%;width:80.52%;height:6.0%=
'><span
 style=3D'font-size:87%'>much thermal radiation as possible.&#13;</span></s=
pan><span
 style=3D'position:absolute;top:56.25%;left:12.35%;width:88.95%;height:6.0%=
'><span
 style=3D'font-size:87%'><span class=3DBB style=3D'position:absolute;left:-=
5.89%'>o</span></span><span
 style=3D'font-size:87%'>Such an object is known as a </span><span
 style=3D'font-size:87%'>blackbody</span><span style=3D'font-size:87%'>, </=
span></span><span
 style=3D'position:absolute;top:62.0%;left:12.35%;width:92.32%;height:6.0%'=
><span
 style=3D'font-size:87%'>and the ratio of the actual </span><span
 style=3D'font-size:87%'>emissive power </span></span><span style=3D'positi=
on:absolute;
 top:67.75%;left:12.35%;width:89.7%;height:6.0%'><span style=3D'font-size:8=
7%'>(</span><span
 style=3D'font-size:87%'><i>E)</i></span><span style=3D'font-size:87%'> to =
the
 emissive power of a blackbody </span></span><span style=3D'position:absolu=
te;
 top:73.75%;left:12.35%;width:80.52%;height:6.0%'><span style=3D'font-size:=
87%'>(E</span><span
 style=3D'font-size:57%;position:relative;top:.37em;mso-text-raise:-25%'>bl=
ackbody</span><span
 style=3D'font-size:87%'>) is defined as the </span><span style=3D'font-siz=
e:87%'>surface
 </span></span><span style=3D'position:absolute;top:79.5%;left:12.35%;width=
:80.52%;
 height:6.25%'><span style=3D'font-size:87%'>emissivity </span><span
 style=3D'font-family:Symbol;font-size:87%'>e</span><span style=3D'font-siz=
e:87%'>,
 </span></span></div>
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.0%;
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span
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ion:absolute;
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3;</span></span></div>
 <div style=3D'position:absolute;top:32.0%;left:7.11%;width:86.14%;height:5=
.25%'><span
 style=3D'position:absolute;top:0%;left:6.08%;width:93.91%;height:100.0%'><=
span
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.25%'><span
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span
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ion:absolute;
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3;</span></span></div>
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span
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3;</span></span></div>
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 <div v:shape=3D"_x0000_s45058" class=3DT style=3D'position:absolute;top:13=
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 left:7.3%;width:85.58%;height:8.75%'><b>Radiation Heat Transfer</b></div>
 <div v:shape=3D"_x0000_s45059" class=3DHB><span style=3D'position:absolute;
 top:26.25%;left:12.35%;width:81.83%;height:6.0%'><span class=3DHBB
 style=3D'position:absolute;left:-6.4%'>o</span>To estimate the rate at whi=
ch
 heat is </span><span style=3D'position:absolute;top:32.0%;left:12.35%;
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pan
 style=3D'position:absolute;top:37.75%;left:12.35%;width:81.83%;height:6.0%=
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 equation,&#13;</span>
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.0%;
 left:7.3%;width:85.58%;height:8.75%'><b>Common Emissivities</b> </div>
 <div v:shape=3D"_x0000_s52316">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
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'></div>
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52'></div>
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-vertical-align-special:
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span
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amily:
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 display:none'>&#13;</span></div>
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'></div>
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'></div>
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'></div>
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52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
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amily:
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52'></div>
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52'></div>
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'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:66.0%;left:62.35%;width:7.49%;height:2.25%'><=
span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>0.93</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52301">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:66.0%;left:35.95%;width:24.53%;height:2.25%'>=
<span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>Marble (light gray
 polished)</span><span style=3D'mso-hansi-font-family:Verdana;font-size:35%;
 mso-special-format:lastCR;display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52300">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:62.74%;left:62.35%;width:7.49%;height:2.25%'>=
<span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>0.69</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52299">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:62.74%;left:35.95%;width:24.53%;height:2.25%'=
><span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>Iron plate (completely
 rusted)</span><span style=3D'mso-hansi-font-family:Verdana;font-size:35%;
 mso-special-format:lastCR;display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52298">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:59.5%;left:62.35%;width:7.49%;height:2.25%'><=
span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>0.13</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52297">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:59.5%;left:35.95%;width:24.53%;height:2.25%'>=
<span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>Iron galvanized (bright=
)</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52296">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:56.0%;left:62.35%;width:7.49%;height:2.25%'><=
span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>0.97</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52295">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:56.0%;left:35.95%;width:24.53%;height:2.25%'>=
<span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>Ice</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52294">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:52.75%;left:62.35%;width:7.49%;height:2.25%'>=
<span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>0.85</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52293">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:52.75%;left:35.95%;width:24.53%;height:2.25%'=
><span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>Granite (polished)</spa=
n><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52292">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:49.5%;left:62.35%;width:7.49%;height:2.25%'><=
span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>0.94</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52291">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:49.5%;left:35.95%;width:24.53%;height:2.25%'>=
<span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>Glass (smooth)</span><s=
pan
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52290">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:46.25%;left:62.35%;width:7.49%;height:2.25%'>=
<span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>0.93</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52289">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:46.25%;left:35.95%;width:24.53%;height:2.25%'=
><span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>Frozen soil</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52286">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:42.75%;left:62.35%;width:7.49%;height:2.25%'>=
<span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>0.94</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52285">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:42.75%;left:35.95%;width:24.53%;height:2.25%'=
><span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>Concrete</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52284">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:39.5%;left:62.35%;width:7.49%;height:2.25%'><=
span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>0.93</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52283">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:39.5%;left:35.95%;width:24.53%;height:2.25%'>=
<span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>Brick (red - rough)</sp=
an><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52282">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:36.25%;left:62.35%;width:7.49%;height:2.25%'>=
<span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>0.97</span><span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52281">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
-vertical-align-special:
 bottom;position:absolute;top:36.25%;left:35.95%;width:24.53%;height:2.25%'=
><span
 style=3D'font-family:Verdana;mso-ascii-font-family:Verdana;mso-bidi-font-f=
amily:
 Arial;mso-hansi-font-family:Verdana;font-size:35%'>Asphalt (paving)</span>=
<span
 style=3D'mso-hansi-font-family:Verdana;font-size:35%;mso-special-format:la=
stCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s52280">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288;mso-text-indent-alt:288=
'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576;mso-text-indent-alt:576=
'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864;mso-text-indent-alt:864=
'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152;mso-text-indent-alt:11=
52'></div>
 <div class=3DTbl style=3D'text-align:center;mso-line-spacing:"100 0 0";mso=
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 top:26.25%;left:12.35%;width:92.88%;height:7.0%'><span class=3DBB
 style=3D'position:absolute;left:-5.64%'>o</span>At what rate (W/m<span
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/span>)
 is heat radiated </span><span style=3D'position:absolute;top:32.75%;left:1=
2.35%;
 width:96.06%;height:7.0%'>from the surface of a galvanized roof?<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span><span style=3D'position:ab=
solute;
 top:39.5%;left:12.35%;width:87.07%;height:7.0%'>The roof has a surface are=
a of
 200 </span><span style=3D'position:absolute;top:46.25%;left:12.35%;width:8=
4.26%;
 height:7.0%'>m<span style=3D'font-size:67%;position:relative;top:-.45em;
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------=_NextPart_01C65882.C6EE8130
Content-Location: file:///C:/D06BE2A5/HeatTransferLecture_files/script.js
Content-Transfer-Encoding: quoted-printable
Content-Type: application/javascript; charset="us-ascii"

function LoadSld()
{
	var sld=3DGetObj("SlideObj")
	if( !g_supportsPPTHTML ) {	=09
		sld.style.visibility=3D"visible"
		return
	}

	if( MakeNotesVis() ) return

	runAnimations =3D _InitAnimations();
=09
	if( IsWin("PPTSld") )
		parent.SldUpdated(GetSldId())
	g_origSz=3DparseInt(SlideObj.style.fontSize)
	g_origH=3Dsld.style.posHeight
	g_origW=3Dsld.style.posWidth
	g_scaleHyperlinks=3D(document.all.tags("AREA").length>0)
	if( g_scaleHyperlinks )
		InitHLinkArray()
	if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) )
		document.body.scroll=3D"no"
	_RSW()
	if( IsWin("PPTSld") && parent.IsFullScrMode() )
		FullScrInit();
=09
	MakeSldVis();
	ChkAutoAdv()

	if( runAnimations )
	{
		if( document.all("NSPlay") )
			document.all("NSPlay").autoStart =3D false;

		if( sld.filters && sld.filters.revealtrans )
			setTimeout( "document.body.start()", sld.filters.revealtrans.duration * =
1000 );
		else
			document.body.start();
	}
}

function MakeSldVis()=20
{
	var fTrans=3Dg_showAnimation && SldHasTrans()
	if( fTrans )=09
	{
		if( g_bgSound ) {
			idx=3Dg_bgSound.indexOf(",");
			pptSound.src=3Dg_bgSound.substr( 0, idx );
			pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1)));
		}
		SlideObj.filters.revealtrans.Apply()=09
    }
	SlideObj.style.visibility=3D"visible"
	if( fTrans )
		SlideObj.filters.revealtrans.Play()
}
function MakeNotesVis()=20
{
	if( !IsNts() ) return false=20
	SlideObj.style.display=3D"none"
	nObj =3D document.all.item("NotesObj")
	parent.SetHasNts(0)
	if( nObj ) {=20
		nObj.style.display=3D""
		parent.SetHasNts(1)
	}
	return 1
}
function ChkAutoAdv()
{
	if(SldHasTrans())
		SlideObj.onfilterchange=3DAutoAdv
	else
		AutoAdv()
}
function AutoAdv()
{
	if(!IsWin("PPTSld") || !gUseSldTimings )return
	var sld=3DGetCurSld()
	if( (sld.mAdvDelay>0) && !parent.IsFramesMode() )
		setTimeout("parent.GoToNextSld()",sld.mAdvDelay)
}
function GetObj(id)
{
	if(g_supportsPPTHTML) return document.all(id);
	else return document.getElementById(id);
}
function SldHasTrans() { return SlideObj.style.filter !=3D ""; }
function GetSldId() { return sId=3Dlocation.href.substring(location.href.la=
stIndexOf('/')+1) }
function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx=
tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl=
e.display=3D'none'; return true } return false }
function IsWin( name ) { return window.name =3D=3D name }
function IsNts() { return IsWin("PPTNts") }
function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) }
function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"=
 && navigator.appVersion.indexOf("Windows")>0 ) }
function SupportsPPTHTML()
{
	var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0
	if( msie >=3D 0 )
		ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) )
	else
		ver=3DparseInt(appVer)

	return( ver >=3D 4 && msie >=3D 0 )
}
function _RSW()
{
	if( !g_supportsPPTHTML || IsNts() ||
	  ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) )
		return

        var padding=3D0;
        if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6

	cltWidth=3Ddocument.body.clientWidth-padding
	cltHeight=3Ddocument.body.clientHeight-padding
	factor=3D(1.0*cltWidth)/g_origW
	if( cltHeight < g_origH*factor )
		factor=3D(1.0*cltHeight)/g_origH

	newSize =3D g_origSz * factor
	if( newSize < 1 ) newSize=3D1

	s=3DSlideObj.style
	s.fontSize=3DnewSize+"px"
	s.posWidth=3Dg_origW*factor
	s.posHeight=3Dg_origH*factor
	s.posLeft=3D(cltWidth-s.posWidth+padding)/2
	s.posTop=3D(cltHeight-s.posHeight+padding)/2

	if( g_scaleHyperlinks )
		ScaleHyperlinks( factor )
}
function _InitAnimations()
{
	animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined';
	isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode();
	g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc=
reen && parent.IsSldVisited());
	if( g_animUseRuntime ) {
		collSeq =3D document.all.tags("seq");
		if( collSeq !=3D null ) {
			for(ii=3D0;ii<collSeq.length;ii++) {
				if( collSeq[ii].getAttribute( "p:nodeType" ) =3D=3D "mainSeq" ) {
					g_animMainSequence =3D collSeq[ii];
					break;
				}
			}
		}
=09
		if( g_animItemsToHide && document.body.playAnimations !=3D false ) {
			for(jj =3D 0; jj < g_animItemsToHide.length; jj++) {
				if( hideObj =3D GetObj(g_animItemsToHide[jj]) )
					hideObj.runtimeStyle.visibility=3D"hidden";
			}
		}

		if( g_animInteractiveItems ){
			for(jj =3D 0; jj < g_animInteractiveItems.length; jj++) {
				if( triggerObj =3D GetObj(g_animInteractiveItems[jj]) )
					triggerObj.runtimeStyle.cursor=3D"hand";
			}
		}
	=09
		if( gUseSldTimings && ''+g_animSlideTime !=3D 'undefined' ) {
			adjustedTime =3D document.body.calculateAutoAdvanceTimes( g_animSlideTim=
e, g_animEffectTimings );
			if( IsWin("PPTSld") && adjustedTime !=3D g_animSlideTime ) {
			   var sld =3D GetCurSld();
			   sld.mAdvDelay =3D adjustedTime * 1000;
			}
		}
	}

	return g_animUseRuntime;
}

gSldJump =3D 0, gSldJumpTrack =3D 0, gSldJumpIdx =3D "";

function _KPH()
{=20
	if( IsNts() ) return;

	if( !parent.IsFramesMode() && event.keyCode =3D=3D 27 && !HideMenu() )
		parent.window.close( self );
	else if( event.keyCode =3D=3D 32 ) {
		if( window.name =3D=3D "PPTSld" )
			parent.PPTSld.DocumentOnClick();
		else
			parent.GoToNextSld();
	}

	CatchNumKeys( parent, event );
}

function CatchNumKeys( win, event ) {
	if( win.IsFullScrMode() && (48<=3Devent.keyCode) && (event.keyCode<=3D57) =
) {
		gSldJump =3D 1;
		gSldJumpIdx +=3D (event.keyCode-48).toString();
	}
	if( win.IsFullScrMode() && gSldJump && event.keyCode =3D=3D 13 ) {
		var numSlds =3D parent.GetSldList().mList.length
		if ( gSldJumpIdx > numSlds )
			gSldJumpIdx =3D numSlds;
		if ( gSldJumpIdx >=3D 0 ) {
			if ( gSldJumpIdx =3D=3D 0 )
				gSldJumpIdx =3D 1;
			var jumpTo =3D parseInt(gSldJumpIdx);
			gSldJump =3D 0; gSldJumpIdx =3D "";
			win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref )
		}
	}
}

function _KDH()
{
	if( event.keyCode =3D=3D 8 ) {
		event.returnValue =3D 0;
		parent.GoToPrevSld();
	}
}
function DocumentOnClick()
{
	if( IsNts() || parent.HideMenu() ) return;
	if( ( g_allowAdvOnClick && !parent.IsFramesMode() ) ||
	    (event && (event.keyCode=3D=3D32) ) )
		parent.GoToNextSld();
}



var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""=
, g_bgSound=3D"",
    g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser =
=3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1;
var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w=
indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va=
r g_animManager =3D null;
var g_animUseRuntime =3D false;
var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime;
var g_animMainSequence =3D null;

var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram=
es", gIsEndShow=3D0, NUM_VIS_SLDS=3D32, SCRIPT_HREF=3D"script.js", FULLSCR_=
HREF=3D"fullscreen.htm";
var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO=
tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true
window.gPPTHTML=3DSupportsPPTHTML()
var gMainDoc=3Dnew Array(new hrefList("slide0001.htm",1,-1,1),new hrefList(=
"slide0002.htm",1,-1,1),new hrefList("slide0003.htm",1,-1,1),new hrefList("=
slide0004.htm",1,-1,1),new hrefList("slide0011.htm",1,-1,1),new hrefList("s=
lide0005.htm",1,-1,1),new hrefList("slide0009.htm",1,-1,1),new hrefList("sl=
ide0012.htm",1,-1,1),new hrefList("slide0010.htm",1,-1,1),new hrefList("sli=
de0006.htm",1,-1,1),new hrefList("slide0013.htm",1,-1,1),new hrefList("slid=
e0018.htm",1,-1,1),new hrefList("slide0021.htm",1,-1,1),new hrefList("slide=
0031.htm",1,-1,1),new hrefList("slide0030.htm",1,-1,1),new hrefList("slide0=
007.htm",1,-1,1),new hrefList("slide0014.htm",1,-1,1),new hrefList("slide00=
15.htm",1,-1,1),new hrefList("slide0008.htm",1,-1,1),new hrefList("slide001=
6.htm",1,-1,1),new hrefList("slide0034.htm",1,-1,1),new hrefList("slide0022=
.htm",1,-1,1),new hrefList("slide0023.htm",1,-1,1),new hrefList("slide0024.=
htm",1,-1,1),new hrefList("slide0025.htm",1,-1,1),new hrefList("slide0026.h=
tm",1,-1,1),new hrefList("slide0027.htm",1,-1,1),new hrefList("slide0028.ht=
m",1,-1,1),new hrefList("slide0029.htm",1,-1,1),new hrefList("slide0032.htm=
",1,-1,1),new hrefList("slide0033.htm",1,-1,1),new hrefList("slide0017.htm"=
,1,-1,1));

/*********************************************
 Frameset functions

 These functions control slide navigation
 and state of the frameset.
**********************************************/

function FullScrInit()
{
	g_allowAdvOnClick =3D GetCurSld().mAdvOnClk
	document.body.style.backgroundColor=3D"black"
	document.oncontextmenu=3Dparent._CM;
	document.onkeydown =3D _KDH;
	document.ondragstart=3DCancel
	document.onselectstart=3DCancel
	self.focus()
}

function Redirect( frmId )
{=09
	var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId()
	if(idx>=3D0) str=3Dstr.substr(1);
	if( window.name !=3D frmId && ( sId !=3D str) ) {
		obj =3D GetObj("Main-File")
		window.location.href=3Dobj.href+"#"+sId
		return 1
	}
	return 0
}

var MHTMLPrefix =3D CalculateMHTMLPrefix();=20
function CalculateMHTMLPrefix()
{
	if ( document.location.protocol =3D=3D 'mhtml:') {=20
		href=3Dnew String(document.location.href)=20
		Start=3Dhref.indexOf('!')+1=20
		End=3Dhref.lastIndexOf('/')+1=20
		if (End < Start)=20
			return href.substring(0, Start)=20
		else=20
		return href.substring(0, End)=20
	}
	return '';
}

function GetTags(base,tag)
{
	if(g_supportsPPTHTML) return base.all.tags(tag);
	else return base.getElementsByTagName(tag);
}


function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP=
refix+GetHrefObj( gCurSld ).mNtsHref ) }

function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() }

function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() }

function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() }

function SetHasNts( fVal )
{
	if( gHasNts !=3D fVal ) {
		gHasNts=3DfVal
		UpdNavPane()
	}
}

function ToggleOtlText()
{
	gOtlTxtExp=3D!gOtlTxtExp
	UpdOtlPane()
}

function ClearMedia()
{
	// Clear any sounds playing before launching another browser window. Other=
wise,
	// in fullscreen mode, you'll continue to hear the sound in the frames mod=
e.
	if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0;
}

function FullScreen()
{=20
	if ( PPTSld.g_animUseRuntime )
		PPTSld.document.body.pause();
	ClearMedia();
	var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF =
: FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref;
	if(PPTNav.event.ctrlKey) {
		var w =3D (window.screen.availWidth * 1.0) / 2.0
		var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW
		win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top=
=3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h );
		if( win.document.body && PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
	else
	{
		win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" );
		if( win.document.body && PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
}

function ToggleVNarration()
{
	rObj=3DPPTSld.document.all("NSPlay")
	if( rObj && !PPTSld.g_animUseRuntime ) {
		if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) )
			rObj.Play()
		else if( rObj.playState =3D=3D 2 )
			rObj.Pause()
		else
			return;
	}
	else if( PPTSld.g_animUseRuntime )
	{
		narObj =3D PPTSld.document.all("narrationID")
		if( narObj )
			narObj.togglePause()
	}
}

function GetCurSldNum()
{  =20
	obj=3DGetHrefObj(gCurSld)
	if( obj.mOrigVis =3D=3D 1 )
		return obj.mSldIdx
	else  =20
		return gCurSld
}

function GetNumSlds()
{  =20
	if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 )
		return GetSldList().mNumVisSlds;
	else
		return GetSldList().mList.length
}

function GetSldNum( href )
{
	for(ii=3D0; ii<GetSldList().mList.length; ii++) {
		if ( GetSldList().mList[ii].mSldHref =3D=3D href )
			return ii+1
	}
	return 1
}

function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] }

function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) }

function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) }

function GoToNextSld()
{
	ii=3DgCurSld + 1
	if( GetHrefObj( ii-1 ).mOrigVis =3D=3D 0 ) {
		if( ii<=3DGetSldList().mList.length ) {
			obj=3DGetHrefObj(ii)
			obj.mVis=3D1
			GoToSldNum(ii)
			return
		}
	}
	else {
		obj=3DGetHrefObj( ii )
		while ( obj && ( obj.mOrigVis =3D=3D 0 ) )
			obj=3DGetHrefObj(++ii)
		if( obj && obj.mOrigVis ) {
			GoToSldNum(ii)
			return
		}
	}
	if( gSldStack.length > 1 )
		PopSldList();
	else if( !IsFramesMode() ) {
                if( gLoopCont )
			GoToFirst()
                else
			EndShow()
	}
}

function GoToPrevSld()
{
	ii=3DgCurSld-1
	if( ii > 0 ) {
		obj=3DGetHrefObj(ii)
		while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) )
			obj=3DGetHrefObj(--ii)
        if( ii =3D=3D 0 ) ii=3D1
		GoToSldNum(ii)
	}
}

function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) }

function GoToLast()
{
	ii=3DGetSldList().mList.length
	if( ii !=3D gCurSld )
		GoToSld( GetHrefObj(ii).mSldHref )
}

function GoToSldNum( num )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	obj =3D GetHrefObj( num )
	obj.mVis=3D1
	gPrevSld=3DgCurSld
	gCurSld =3D num;
	PPTSld.location.replace(MHTMLPrefix+obj.mSldHref)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function GoToSld( href )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	GetHrefObj( GetSldNum(href) ).mVis=3D1
	PPTSld.location.replace(MHTMLPrefix+href)
}

function SldUpdated( id )
{
	if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return
	gPrevSld=3DgCurSld
	gCurSld=3DGetSldNum(id)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) }
function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO=
bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) }
function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) }

function CloseWindow() {
	if( HideMenu() ) return;
=09
	var event =3D PPTSld.event;
	if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D=
=3D32 || event.type=3D=3D"click" ) )
		window.close( self );
	CatchNumKeys( self, event );
}

function Unload() { gIsEndShow=3D0; }

function SetupEndShow() {
	gIsEndShow=3D1;
	PPTSld.document.body.scroll=3D"no";
	PPTSld.document.onkeypress=3DCloseWindow;
	PPTSld.document.onclick=3DCloseWindow;
	PPTSld.document.oncontextmenu=3D_CM;
}

function EndShow()
{
	if( IsFramesMode() ) return
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue

	doc=3DPPTSld.document
	var dir =3D doc.body.dir
	if( dir !=3D "rtl" ) dir =3D "ltr";
	doc.open()
	doc.writeln('<html><body dir=3D' + dir + ' bgcolor=3Dblack onload=3Dparent=
.SetupEndShow() onunload=3Dparent.Unload()><center><p><font face=3DTahoma c=
olor=3Dwhite size=3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></=
body></html>')
	doc.close()
}

function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue }

function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited }

function hrefList( sldHref, visible, advDelay, advClk )
{
	this.mSldHref=3D this.mNtsHref =3D sldHref
	this.mOrigVis=3D this.mVis =3D visible
	this.mVisited=3D false
	this.mAdvDelay=3D advDelay
	this.mAdvOnClk=3D advClk
}

function SldList(arr,curSld,fEnd)
{
	this.mCurSld =3D curSld;
	this.mList =3D new Array();

	var idx =3D 1;
	for(ii=3D0;ii<arr.length;ii++) {
		this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[=
ii].mAdvDelay, arr[ii].mAdvOnClk );
		if( arr[ii].mOrigVis )
			this.mList[ii].mSldIdx =3D idx++;
	}
	this.mNumVisSlds =3D idx-1;
	this.fEndShow =3D fEnd;
}

function GetSldList() {	return gSldStack[gSldStack.length-1] }
function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1]=
 }

gSldStack =3D new Array();
gSldStack[0] =3D new SldList(gMainDoc,gCurSld,1)
function ToggleOtlPane()
{
	frmset=3Ddocument.all("PPTHorizAdjust")
	frm=3Ddocument.all("PPTOtl")

	if( gOtlOpen )
		frmset.cols=3D"*,100%"
	else
		frmset.cols=3D"25%,*"

	gOtlOpen=3D!gOtlOpen
	frm.noResize=3D!frm.noResize
	UpdOtNavPane()
}

function ToggleNtsPane()
{
	frmset=3Ddocument.all("PPTVertAdjust")
	frm=3Ddocument.all("PPTNts")

	if( gNtsOpen )
		frmset.rows=3D"100%,*"
	else
		frmset.rows=3D"*,20%"

	gNtsOpen=3D!gNtsOpen
	UpdNtsPane()
}

/*********************************************
Custom Shows implementation

When ViewCustomShow() is called, we create
a new array that is a subset of the slides in=20
the main doc. This list pushed on a stack so
we can return after the end of the custom
show.
*********************************************/
function ViewCustomShow(idx,fEnd)
{
	if( !IsFullScrMode() ) return;
	var sldList =3D new Array();
	var custShow =3D custShowList[idx-1];
	var jj =3D 0;
	for( ii=3D0;ii<custShow.length;ii++ ) {
		if( custShow[ii] <=3D gMainDoc.length )
			sldList[jj++] =3D gMainDoc[custShow[ii]-1];
	}
	if (sldList.length > 0) {
	PushSldList(sldList,fEnd);
	gCurSld =3D 1;
	}
	else
		if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
}

function PushSldList(arr,fEnd) {
	var ii =3D gSldStack.length;
	gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd);
	GoToSld( gSldStack[ii].mList[0].mSldHref );
}

function PopSldList() {
	if (gSldStack[gSldStack.length-1].fEndShow)
		EndShow()
	else {
	gCurSld =3D gSldStack[gSldStack.length-1].mCurSld;
	gSldStack[gSldStack.length-1] =3D null;
	gSldStack.length--;
	var sldList =3D gSldStack[gSldStack.length-1];
	GoToSld( sldList.mList[gCurSld - 1].mSldHref );
	}
}
var custShowList=3Dnew Array();

/*********************************************
 Navigation button implementation

 There are 2 types of buttons: ImgBtn, TxtBtn
 implemented as function objects. They share
 a similiar interface so the event handlers
 can call SetActive, for example, on a button=20
 object without needing to know exactly=20
 what type of button it is.
**********************************************/

//----------------------------------
function ImgBtn( oId,bId,w,action )
//----------------------------------
{
	var t=3Dthis
	t.Perform    =3D _IBP
	t.SetActive  =3D _IBSetA
	t.SetInactive=3D _IBSetI
	t.SetPressed =3D _IBSetP
	t.SetDisabled=3D _IBSetD
	t.Enabled    =3D _IBSetE
	t.ChangeIcon =3D null
	t.UserAction =3D action
	t.ChgState   =3D _IBUI
	t.mObjId   =3D oId
	t.mBorderId=3D bId
	t.mWidth   =3D w
	t.mIsOn    =3D t.mCurState =3D 0
}

function _IBSetA()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _IBSetI()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0=20
	}
}

function _IBSetP()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 )
		obj.style.posLeft+=3D1; obj.style.posTop+=3D1
	}
}

function _IBSetD()
{ =20
	obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 )
	obj.style.posTop=3D0=20
}

function _IBSetE( state )
{
	var t=3Dthis
	GetObj( t.mBorderId ).style.visibility=3D"visible"
	if( state !=3D t.mIsOn ) {
		t.mIsOn=3Dstate
		if( state )
			t.SetInactive()
		else
			t.SetDisabled()
	}
}

function _IBP()
{
	var t=3Dthis
	if( t.mIsOn ) {
		if( t.UserAction !=3D null )
			t.UserAction()
		if( t.ChangeIcon ) {
			obj=3DGetObj(t.mObjId)
			if( t.ChangeIcon() )
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth
			else
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth
		}
		t.SetActive()
	} =20
}

function _IBUI( clr1,clr2,nextState )
{
	var t=3Dthis
	SetBorder( GetObj( t.mBorderId ),clr1,clr2 )
	obj=3DGetObj( t.mObjId )
	obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj=
.style.posTop
	t.mCurState=3DnextState
	return obj
}

//-----------------------------------------
function TxtBtn( oId,oeId,action,chkState )
//-----------------------------------------
{
	var t=3Dthis
	t.Perform    =3D _TBP
	t.SetActive  =3D _TBSetA
	t.SetInactive=3D _TBSetI
	t.SetPressed =3D _TBSetP
	t.SetDisabled=3D _TBSetD
	t.SetEnabled =3D _TBSetE
	t.GetState   =3D chkState
	t.UserAction =3D action
	t.ChgState   =3D _TBUI
	t.mObjId      =3D oId
	t.m_elementsId=3D oeId
	t.mIsOn       =3D 1
}

function _TBSetA()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gHiliteClr,gShadowClr,0,0 )
}

function _TBSetI()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
}

function _TBSetP()
{
	if( this.mIsOn )
		this.ChgState( gShadowClr,gHiliteClr,1,1 )
}

function _TBSetD()
{  =20
	this.ChgState( gFaceClr,gFaceClr,0,0 )
	this.mIsOn =3D 0
}

function _TBSetE()
{
	var t=3Dthis
	if( !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
	else
		t.ChgState( gShadowClr,gHiliteClr,1,1 )
	t.mIsOn =3D 1
}

function _TBP()
{
	var t=3Dthis
	if( t.mIsOn ) {=20
		if( t.UserAction !=3D null )
			t.UserAction()
        if( !t.GetState )
            return
		if( t.GetState() )
			t.SetPressed()
		else
			t.SetActive()
	} =20
}

function _TBUI( clr1,clr2,lOffset,tOffset )
{
	SetBorder( GetObj( this.mObjId ),clr1,clr2 )
	Offset( GetObj( this.m_elementsId ),lOffset,tOffset )
}

function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle=
ft }

function SetBorder( obj, upperLeft, lowerRight )
{
	s=3Dobj.style;
	s.borderStyle      =3D "solid"
	s.borderWidth      =3D 1=20
	s.borderLeftColor  =3D s.borderTopColor =3D upperLeft
	s.borderBottomColor=3D s.borderRightColor =3D lowerRight
}

function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] }

function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() }

function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() }

function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() }

function BtnOnUp()
{
	b=3DGetBtnObj()
	if( b !=3D null )
		b.Perform()
	else
		Upd()
}
function GetNtsState(){ return parent.gNtsOpen }

function GetOtlState(){ return parent.gOtlOpen }

function GetOtlTxtState(){ return parent.gOtlTxtExp }

function NtsBtnSetFlag( fVal )
{
	s=3Ddocument.all.item( this.m_flagId ).style
	s.display=3D"none"
	if( fVal )
		s.display=3D""
	else
		s.display=3D"none"
}

function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etActive() }

function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etInactive() }

function _BSetP_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etPressed() }

function _BSetA_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]=20
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _BSetI_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0
	}
}


var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"=
THREEDFACE"
var gBtnArr =3D new Array()
gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan=
e,GetOtlState )
gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt=
lPane,GetOtlState )
gBtnArr["nb_nts"] =3D new ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleN=
tsPane )
gBtnArr["nb_nts"].SetActive =3D _BSetA_BorderImg;
gBtnArr["nb_nts"].SetInactive =3D _BSetI_BorderImg;
gBtnArr["nb_ntsBorder"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.=
ToggleNtsPane,GetNtsState )
gBtnArr["nb_ntsElem"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.To=
ggleNtsPane,GetNtsState )
gBtnArr["nb_prevBorder"] =3D gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","n=
b_prevBorder",30,parent.GoToPrevSld )
gBtnArr["nb_nextBorder"] =3D gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","n=
b_nextBorder",30,parent.GoToNextSld )
gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent=
.FullScreen )
gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa=
rent.FullScreen,null )
gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent=
.FullScreen,null )
gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_voice"] =3D gBtnArr["nb_voiceBorder"] =3D new ImgBtn( "nb_voice=
","nb_voiceBorder",18,parent.ToggleVNarration )
gBtnArr["nb_otlTxtBorder"] =3D gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlT=
xt","nb_otlTxtBorder",23,parent.ToggleOtlText )
gBtnArr["nb_ntsBorder"].m_flagId=3D "nb_nts"
gBtnArr["nb_ntsBorder"].SetFlag =3D NtsBtnSetFlag
gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState

/*********************************************
 Context menu implementation

 _CM() is the function that's hooked up to
 the oncontextmenu event. Once we're asked to
 show the menu, we first build it by creating
 DIVs on-the-fly. Then we position it=20
 within the screen area so it doesn't get
 clipped.

 Creating the DIVs using createElement() means
 we don't have to write out any extra HTML
 into the slide HTML files.
**********************************************/
var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr=
row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval"

function ShowMenu()
{
	BuildMenu();
	var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y=
=3DPPTSld.event.clientY+doc.scrollTop
	m =3D PPTSld.document.all.item("ctxtmenu")
	m.style.pixelLeft=3Dx
	if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) )
		m.style.pixelLeft=3Dx-m.scrollWidth

	m.style.pixelTop=3Dy
	if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )
		m.style.pixelTop=3Dy-m.scrollHeight

	m.style.display=3D""
}

function _CM()
{
	if( !parent.IsFullScrMode() ) return;
	if(!PPTSld.event.ctrlKey) {
		ShowMenu()
		return false
	} else
		HideMenu()
}

function BuildMenu()
{
	if( PPTSld.document.all.item("ctxtmenu") ) return

	var mObj=3DCreateItem( PPTSld.document.body )
	mObj.id=3D"ctxtmenu"
	mObj.style.visibility=3D"hidden"
	var s=3DmObj.style
	s.position=3D"absolute"
	s.cursor=3D"default"
	s.width=3D"120px"
	SetCMBorder(mObj,"menu","black")

	var iObj=3DCreateItem( mObj )
	SetCMBorder( iObj, "threedhighlight","threedshadow" )
	iObj.style.padding=3D2
	CreateMenuItem( iObj,sNext,M_GoNextSld,M_True )
	CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld )
=09
	CreateSeparator( iObj )
	CreateMenuItem( iObj,sEnd,M_End,M_True )
	mObj.style.visibility=3D"visible"
}

function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa=
lue=3Dfalse }

function Highlight() { ChangeClr("activecaption","threedhighlight") }

function Deselect() { ChangeClr("threedface","menutext") }

function Perform()
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() )
		e.Action()
	else
		PPTSld.event.cancelBubble=3Dtrue
}
function ChangeClr( bg,clr )
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() ) {
		e.style.backgroundColor=3Dbg
		e.style.color=3Dclr
	}
}

function M_HasPrevSld() { return( parent.HasPrevSld() ) }

function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() }

function M_GoPrevSld() { if( gIsEndShow ) { gIsEndShow=3D0; history.back();=
 PPTSld.event.cancelBubble=3Dtrue; } else GoToPrevSld() }

function M_True() { return true }

function M_End() { window.close( self ) }

function CreateMenuItem( node,text,action,eval )
{
	var e=3DCreateItem( node )
	e.type=3D"menuitem"
	e.Action=3Daction
	e.IsActive=3Deval
	e.innerHTML=3Dtext

	if( !e.IsActive() )
		e.style.color=3D"threedshadow"

	e.onclick=3DPerform
	e.onmouseover=3DHighlight
	e.onmouseout=3DDeselect
	s=3De.style;
	s.fontFamily=3DsFont
	s.fontSize=3D"9pt"
	s.paddingLeft=3D2
}

function CreateSeparator( node )
{
	var sObj=3DCreateItem( node )
	SetCMBorder(sObj,"menu","menu")
	var s=3DsObj.style
	s.borderTopColor=3D"threedshadow"
	s.borderBottomColor=3D"threedhighlight"
	s.height=3D1
	s.fontSize=3D"0px"
}

function CreateItem( node )
{
	var elem=3DPPTSld.document.createElement("DIV")
	node.insertBefore( elem )
	return elem
}

function SetCMBorder( o,ltClr,rbClr )
{
	var s=3Do.style
	s.backgroundColor=3D"menu"
	s.borderStyle=3D"solid"
	s.borderWidth=3D1
	s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr
}
------=_NextPart_01C65882.C6EE8130
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<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
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var SCREEN_MODE   =3D "FullScreen";

function Load() {
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=09
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function Unload() {
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<frameset rows=3D"*" frameborder=3D0 onload=3D"Load()" onunload=3D"Unload()=
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------=_NextPart_01C65882.C6EE8130
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this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>1</font></div>
  </td>
  <td width=3D"100%">
  <div id=3DPPTP1 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0001.htm');" id=3DPPTL1>BAE 103<br>
    Energy in Biological Systems</a></font></div>
  <div id=3DPPTC1 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Heat Transfer Lecture</li>
   <li>S.A. Shearer</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>2</font></div>
  </td>
  <td>
  <div id=3DPPTP2 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0002.htm');" id=3DPPTL2>Basics of Heat T=
ransfer</a></font></div>
  <div id=3DPPTC2 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>In the simplest of terms, the discipline of heat transfer is concern=
ed
       with only two things: temperature, and the flow of heat.</li>
   <li>Temperature represents the amount of thermal energy available, where=
as
       heat flow represents the movement of thermal energy from place to pl=
ace.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>3</font></div>
  </td>
  <td>
  <div id=3DPPTP3 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0003.htm');" id=3DPPTL3>Basics of Heat T=
ransfer</a></font></div>
  <div id=3DPPTC3 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>On a microscopic scale, thermal energy is related to the kinetic ene=
rgy
       of molecules.</li>
   <li>The greater a material's temperature, the greater the thermal agitat=
ion
       of its constituent molecules (manifested both in linear motion and
       vibrational modes).</li>
   <li>It is natural for regions containing greater molecular kinetic energ=
y to
       pass this energy to regions with less kinetic energy.</li>
   <br>
   <br>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>4</font></div>
  </td>
  <td>
  <div id=3DPPTP4 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0004.htm');" id=3DPPTL4>Basics of Heat T=
ransfer</a></font></div>
  <div id=3DPPTC4 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Several material properties serve to modulate the heat tranfered bet=
ween
       two regions at differing temperatures.</li>
   <li>Examples include thermal conductivities, specific heats, material
       densities, fluid velocities, fluid viscosities, surface emissivities,
       and more.</li>
   <li>Taken together, these properties serve to make the solution of many =
heat
       transfer problems an involved process.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>5</font></div>
  </td>
  <td>
  <div id=3DPPTP5 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0011.htm');" id=3DPPTL5>Heat Transfer Me=
chanisms</a></font></div>
  <div id=3DPPTC5 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Conduction</li>
   <li>Convection</li>
   <ul>
    <li>Free</li>
    <li>Forced</li>
   </ul>
   <li>Radiation</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>6</font></div>
  </td>
  <td>
  <div id=3DPPTP6 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0005.htm');" id=3DPPTL6>Conduction</a></=
font></div>
  <div id=3DPPTC6 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Regions with greater molecular kinetic energy will pass their thermal
       energy to regions with less molecular energy through direct molecular
       collisions, a process known as conduction. In metals, a significant
       portion of the transported thermal energy is also carried by
       conduction-band electrons.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>7</font></div>
  </td>
  <td>
  <div id=3DPPTP7 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0009.htm');" id=3DPPTL7>Convection - Fre=
e</a></font></div>
  <div id=3DPPTC7 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>When heat conducts into a static fluid it leads to a local volumetric
       expansion.</li>
   <li>As a result of gravity-induced pressure gradients, the expanded fluid
       parcel becomes buoyant and displaces, thereby transporting heat by f=
luid
       motion (i.e. convection) in addition to conduction.</li>
   <li>Such heat-induced fluid motion in initially static fluids is known a=
s free
       (natural) convection.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>8</font></div>
  </td>
  <td>
  <div id=3DPPTP8 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0012.htm');" id=3DPPTL8>Convection - For=
ced</a></font></div>
  <div id=3DPPTC8 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>For cases where the fluid is already in motion, heat conducted into =
the
       fluid will be transported away chiefly by fluid convection.</li>
   <li>These cases, known as forced convection, require a pressure gradient=
 to
       drive the fluid motion, as opposed to a gravity gradient to induce
       motion through buoyancy.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>9</font></div>
  </td>
  <td>
  <div id=3DPPTP9 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0010.htm');" id=3DPPTL9>Radiation</a></f=
ont></div>
  <div id=3DPPTC9 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>All materials radiate thermal energy in amounts determined by their
       temperature, where the energy is carried by photons of light in the
       infrared and visible portions of the electromagnetic spectrum.</li>
   <li>When temperatures are uniform, the radiative flux between objects is=
 in
       equilibrium and no net thermal energy is exchanged.</li>
   <li>The balance is upset when temperatures are not uniform, and thermal
       energy is transported from surfaces of higher to surfaces of lower
       temperature.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>10</font></div>
  </td>
  <td>
  <div id=3DPPTP10 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0006.htm');" id=3DPPTL10>Fourier Law of =
Heat
  Conduction</a></font></div>
  <div id=3DPPTC10 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>When there exists a temperature gradient within a body, heat energy =
will
       flow from the region of high temperature to the region of low
       temperature.</li>
   <li>This phenomenon is known as conduction heat transfer, and is describ=
ed
       by Fourier's Law,</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>11</font></div>
  </td>
  <td>
  <div id=3DPPTP11 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0013.htm');" id=3DPPTL11>Fourier Law of =
Heat
  Conduction</a></font></div>
  <div id=3DPPTC11 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <br>
   <br>
   <br>
   <br>
   <li>where q is the heat flux, k is the thermal conductivity, and T is
       temperature.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>12</font></div>
  </td>
  <td>
  <div id=3DPPTP12 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0018.htm');" id=3DPPTL12>Fourier Law of =
Heat
  Conduction</a></font></div>
  <div id=3DPPTC12 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>For common applications the Fourier Law of Heat Conduction is recast=
 in
       the following form,</li>
   <br>
   <br>
   <br>
   <br>
   <li>where A is the cross sectional area normal to the direction of heat =
flow
       and the temperature gradient is represented as,</li>
   <br>
   <br>
   <br>
   <br>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>13</font></div>
  </td>
  <td>
  <div id=3DPPTP13 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0021.htm');" id=3DPPTL13>Fourier Law of =
Heat
  Conduction</a></font></div>
  <div id=3DPPTC13 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>A simplified version can be written as,</li>
   <br>
   <br>
   <br>
   <br>
   <br>
   <li>where Q is the heat flow rate, T<sub>h</sub> is the high temperature=
, T<sub>l
       </sub>is the low temperature, and t is the distance between the two
       temperature locations normal to the direction of heat flow.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>14</font></div>
  </td>
  <td>
  <div id=3DPPTP14 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0031.htm');" id=3DPPTL14>Insulation Rati=
ngs</a></font></div>
  <div id=3DPPTC14 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Instead of using k/t values, most insulation manufacturers report
       R-values.</li>
   <li>R-values are the inverse of k/t values and therefore numerically
       larger.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Is this a mark=
eting
       tool?<span style=3D'mso-spacerun:yes'>&nbsp; </span>Units for R-valu=
es are
       as follows:</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>15</font></div>
  </td>
  <td>
  <div id=3DPPTP15 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0030.htm');" id=3DPPTL15>Conduction Exam=
ple</a></font></div>
  <div id=3DPPTC15 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>What is the rate of heat loss (Btu/hr/ft<sup>2</sup>) through a 12 i=
n.
       thick concrete wall if one surface is held at 70<sup>o</sup>F and the
       other is at 30<sup>o</sup>F?</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>16</font></div>
  </td>
  <td>
  <div id=3DPPTP16 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0007.htm');" id=3DPPTL16>Convection Heat
  Transfer</a></font></div>
  <div id=3DPPTC16 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Heat energy transfers between a solid and a fluid when there is a
       temperature difference between the fluid and the solid.</li>
   <li>This is known as &#8220;convection heat transfer.&#8221;</li>
   <li>Generally, convection heat transfer can not be ignored when there is=
 a
       significant fluid motion around the solid.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>17</font></div>
  </td>
  <td>
  <div id=3DPPTP17 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0014.htm');" id=3DPPTL17>Convection Heat
  Transfer</a></font></div>
  <div id=3DPPTC17 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>The temperature of the solid due to an external field such as fluid
       buoyancy can induce a fluid motion.</li>
   <li>This is known as &#8220;natural convection&#8221; and it is a strong
       function of the temperature difference between the solid and the flu=
id.</li>
   <li>Blowing air over the solid by using external devices such as fans and
       pumps can also generate a fluid motion.</li>
   <li>This is known as &#8220;forced convection.&#8221;</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>18</font></div>
  </td>
  <td>
  <div id=3DPPTP18 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0015.htm');" id=3DPPTL18>Convection Heat
  Transfer</a></font></div>
  <div id=3DPPTC18 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Fluid mechanics plays a major role in determining convection heat
       transfer.</li>
   <li>For each kind of convection heat transfer, the fluid flow can be eit=
her
       laminar or turbulent.</li>
   <li>Laminar flow generally occurs in relatively low velocities in a smoo=
th
       laminar boundary layer over smooth small objects, while turbulent fl=
ow
       forms when the boundary layer is shedding or breaking due to higher
       velocities or rough geometries.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>19</font></div>
  </td>
  <td>
  <div id=3DPPTP19 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0008.htm');" id=3DPPTL19>Newton's Law of=
 Cooling</a></font></div>
  <div id=3DPPTC19 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <br>
   <br>
   <br>
   <li>Where the rate of heat transferred to the surrounding fluid (Q) is
       proportional (h) to the object's exposed area A, and the difference
       between the object surface temperature, T<sub>s</sub> and the fluid
       free-stream temperature, T<sub>f</sub>.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>20</font></div>
  </td>
  <td>
  <div id=3DPPTP20 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0016.htm');" id=3DPPTL20>Newton's Law of=
 Cooling</a></font></div>
  <div id=3DPPTC20 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>The constant of proportionality h is termed the &#8220;convection
       heat-transfer coefficient.&#8221;</li>
   <li>Other terms describing h include &#8220;film coefficient&#8221; and
       &#8220;film conductance.&#8221;</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>21</font></div>
  </td>
  <td>
  <div id=3DPPTP21 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0034.htm');" id=3DPPTL21>Convection Exam=
ple</a></font></div>
  <div id=3DPPTC21 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>At what rate is heat being lost from the outside of a residential
       structure (Btu/hr/ft<sup>2</sup>)?<span style=3D'mso-spacerun:yes'>&=
nbsp;
       </span>The surface temperature of the exterior of the home is 50<sup=
>o</sup>F
       and the outdoor air temperature<sup> </sup>20<sup>o</sup>F.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>22</font></div>
  </td>
  <td>
  <div id=3DPPTP22 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0022.htm');" id=3DPPTL22>Radiation Heat =
Transfer</a></font></div>
  <div id=3DPPTC22 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Radiation heat transfer is concerned with the exchange of thermal
       radiation energy between two or more bodies.</li>
   <li>Thermal radiation is defined as electromagnetic radiation in the
       wavelength range of 0.1 to 100 microns (which encompasses the visible
       light regime), and arises as a result of a temperature difference
       between two bodies.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>23</font></div>
  </td>
  <td>
  <div id=3DPPTP23 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0023.htm');" id=3DPPTL23>Radiation Heat =
Transfer</a></font></div>
  <div id=3DPPTC23 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>No medium need exist between the two bodies for heat transfer to take
       place (as is needed by conduction and convection).</li>
   <li>Rather, the intermediaries are photons which travel at the speed of
       light.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>24</font></div>
  </td>
  <td>
  <div id=3DPPTP24 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0024.htm');" id=3DPPTL24>Radiation Heat =
Transfer</a></font></div>
  <div id=3DPPTC24 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>The heat transferred into or out of an object by thermal radiation i=
s a
       function of several components.</li>
   <li>These include its surface reflectivity, emissivity, surface area,
       temperature, and geometric orientation with respect to other thermal=
ly
       participating objects.</li>
   <li>In turn, an object's surface reflectivity and emissivity is a functi=
on
       of its surface conditions (roughness, finish, etc.) and composition.=
</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>25</font></div>
  </td>
  <td>
  <div id=3DPPTP25 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0025.htm');" id=3DPPTL25>Radiation Heat =
Transfer</a></font></div>
  <div id=3DPPTC25 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Radiation heat transfer must account for both incoming and outgoing
       thermal radiation.</li>
   <li>Incoming radiation can be either absorbed, reflected, or transmitted=
.</li>
   <li>This decomposition can be expressed by the relative fractions,</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>26</font></div>
  </td>
  <td>
  <div id=3DPPTP26 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0026.htm');" id=3DPPTL26>Radiation Heat =
Transfer</a></font></div>
  <div id=3DPPTC26 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>To account for a body's outgoing radiation (or its emissive power,
       defined as the heat flux per unit time), one makes a comparison to a
       perfect body who emits as much thermal radiation as possible.</li>
   <li>Such an object is known as a blackbody, and the ratio of the actual =
emissive
       power (E) to the emissive power of a blackbody (E<sub>blackbody</sub=
>)
       is defined as the surface emissivity e,</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>27</font></div>
  </td>
  <td>
  <div id=3DPPTP27 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0027.htm');" id=3DPPTL27>Radiation Heat =
Transfer</a></font></div>
  <div id=3DPPTC27 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <br>
   <br>
   <br>
   <br>
   <li>By stating that a body's surface emissivity is equal to its absorpti=
on
       fraction, Kirchhoff's Identity binds incoming and outgoing radiation
       into a useful dependent relationship,</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>28</font></div>
  </td>
  <td>
  <div id=3DPPTP28 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0028.htm');" id=3DPPTL28>Radiation Heat =
Transfer</a></font></div>
  <div id=3DPPTC28 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>To estimate the rate at which heat is radiated from a surface we can=
 use
       the following equation,</li>
   <br>
   <br>
   <br>
   <li>where s is the Stephan-Boltzman constant, A is surface area, e is the
       surface emissivity, and T is the absolute surface temperature.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>29</font></div>
  </td>
  <td>
  <div id=3DPPTP29 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0029.htm');" id=3DPPTL29>Radiation Heat =
Transfer</a></font></div>
  <div id=3DPPTC29 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>The Stephan-Boltzman constant has values of,</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>30</font></div>
  </td>
  <td>
  <div id=3DPPTP30 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0032.htm');" id=3DPPTL30>Common Emissivi=
ties</a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>31</font></div>
  </td>
  <td>
  <div id=3DPPTP31 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0033.htm');" id=3DPPTL31>Radiation Examp=
le</a></font></div>
  <div id=3DPPTC31 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>At what rate (W/m<sup>2</sup>) is heat radiated from the surface of a
       galvanized roof?<span style=3D'mso-spacerun:yes'>&nbsp; </span>The r=
oof
       has a surface area of 200 m<sup>2</sup>, and a surface temperature of
       90C.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>32</font></div>
  </td>
  <td>
  <div id=3DPPTP32 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0017.htm');" id=3DPPTL32>Source</a></fon=
t></div>
  <div id=3DPPTC32 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>This information was adapted for use from a web site authored by
       employees of eFunda, Inc., P.O. Box 64400, Sunnyvale, CA 94088.<span
       style=3D'mso-spacerun:yes'>&nbsp; </span>You can visit their web sit=
e at http://www.efunda.com/formulae/fluids/overview.cfm
       for more information.</li>
  </ul>
  </font></div>
  </td>
 </tr>
</table>



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