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Copy file name to clipboardExpand all lines: Manuals/FDS_Verification_Guide/FDS_Verification_Guide.tex
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@@ -5141,7 +5141,7 @@ \subsection{Case 8: 2-D Heat Transfer with Temperature-Dependent Conductivity}
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\FloatBarrier
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\subsection{Case 9: 2-D Heat Transfer in a Composite Section with Temperature-Dependent Conductivity}
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\subsection{Case 9: 2-D Heat Transfer in a Composite Section, Variable Conductivity}
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\label{SFPE_Case_9}
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A hollow square metal tube ($\rho=7850$~kg/m$^3$, $c=0.6$~kJ/(kg~K), $\epsilon=0.8$) is filled with an insulation material ($k=0.05$~W/(m~K), $\rho=50$~kg/m$^3$, $c=1$~kJ/(kg~K)). The thermal conductivity of the metal tube varies linearly with temperature such that its value is 54.7~W/(m~K) at 0~°C, 27.3~W/(m~K) at 800~°C, and 27.3~W/(m~K) at 1200~°C. The tube walls are 0.5~mm thick, and the exterior width of the assembly is 0.201~m. The surrounding air temperature is 1000~°C, and the initial temperature of the assembly is 0~°C. Assuming that the heating is by convection and radiation, and that the heat transfer coefficient is 10~W/(m$^2$~K), calculate the temperature at the center of the tube as a function of time (Fig.~\ref{fig:SFPE_Case_9}).
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