Analytical Solution for Different Profiles of Fin with Temperature-Dependent Thermal Conductivity

<table>The variation of <svg height="8.8625002" id="M124" style="vertical-align:-2.05875pt" version="1.1" viewbox="0 0 7.125 8.8625002" width="7.125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,8.8625)">
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<tspan style="font-size: 11.21px; " x="0" y="0">𝜂</tspan>
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</svg> versus <svg height="9.2749996" id="M125" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 13.3125 9.2749996" width="13.3125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.275)">
<g transform="translate(72,-64.58)">
<text transform="matrix(1,0,0,-1,-71.95,64.63)">
<tspan style="font-size: 11.21px; " x="0" y="0">𝑁</tspan>
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</svg> for two assigned values of <i>β</i>.</table>

Mathematical Problems in Engineering

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Figure 6

Figure 6: Analytical Solution for Different Profiles of Fin with Temperature-Dependent Thermal Conductivity 