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Copy file name to clipboardExpand all lines: Manuals/FDS_Verification_Guide/FDS_Verification_Guide.tex
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@@ -5016,6 +5016,36 @@ \subsection{3-D Heat Conduction in a Layered Solid (\texorpdfstring{\ct{ht3d\_pi
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\label{fig:ht3d_pile}
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\end{figure}
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\clearpage
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\section{SFPE Verification Cases}
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The Society of Fire Protection Engineers (SFPE) has developed a standard entitled {\em S.02 -- Calculation Methods to Predict the Thermal Performance of Structures \& Fire Resistive Assemblies}~\cite{SFPE_S.02} that contains an appendix with verification cases to benchmark basic heat transfer calculations. This section contains several of these cases.
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\subsection{Case 6: 2-D Heat Transfer with Cooling by Convection}
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\label{SFPE_Case_6}
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A 2~m by 2~m square column ($k=1$~W/(m~K), $\rho=1$~kg/m$^3$, $c=0.001$~kJ/(kg~K), $\epsilon=0$) with an initial temperature of 1000~°C cools via convection only. Assuming that $h=1$~W/(m$^2$~K) and the surrounding air temperature is 0~°C, calculate the temperature at the center of the column as a function of time.
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This is an unusual set of parameters, but nevertheless this case is used to test a multi-dimensional heat transfer solver. The results are shown in Fig.~\ref{fig:SFPE_Case_6_7}.
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\subsection{Case 7: 2-D Heat Transfer by Convection and Radiation}
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\label{SFPE_Case_7}
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A 0.2 m by 0.2 m square column ($k=1$~W/(m~K), $\rho=2400$~kg/m$^3$, $c=1$~kJ/(kg~K), $\epsilon=0.8$) is heated according to the ISO~834 time-temperature curve
where the time, $t$, is in seconds. Assuming that $h=10$~W/(m$^2$~K) and that the initial temperature is $T_\infty=273$~K, calculate the temperature at the column center, corner and middle side surface as a function of time. The results are shown in Fig.~\ref{fig:SFPE_Case_6_7}.
\caption[The SFPE heat transfer verification cases 6 and 7]{Comparisons of FDS 2-D heat transfer calculations with solutions generated by a finite-element solver.}
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