Manuals: minor edits

Author: rmcdermo

Manuals/FDS_User_Guide/FDS_User_Guide.tex

@@ -9139,7 +9139,7 @@ \section{Flux Limiters}
 Central differencing                & \ct{'CENTRAL'}  \\
 Godunov                             & \ct{'GODUNOV'}  \\
 Superbee (VLES, SVLES default)      & \ct{'SUPERBEE'}  \\
-CHARM (DNS, LES default)            & \ct{'CHARM'}  \\ 
+CHARM (DNS, LES default)            & \ct{'CHARM'}  \\
 \hline
 \end{tabular}
 \end{table}
@@ -14426,8 +14426,8 @@ \chapter{Error Codes}
 610 \> \ct{HOLE ... Cannot overlap HOLEs with a DEVC or CTRL_ID.} \> Section~\ref{info:HOLE}  \\
 611 \> \ct{OBST ... has a BULK_DENSITY but zero volume.} \> Section~\ref{info:BURN_AWAY}  \\
 612 \> \ct{OBST ... must have a volume to be assigned HT3D.} \> Section~\ref{checkerboard}  \\
-614 \> \ct{OBST_ID ... cannot have a SURF with NODE_ID} \> Section~\ref{info:hvac_geom}  \\    
-615 \> \ct{OBST ... cannot overlap OBST ...}            \> Section~\ref{info:OVERLAY}  \\    
+614 \> \ct{OBST_ID ... cannot have a SURF with NODE_ID} \> Section~\ref{info:hvac_geom}  \\
+615 \> \ct{OBST ... cannot overlap OBST ...}            \> Section~\ref{info:OVERLAY}  \\
     \>                                                  \>                          \\
 701 \> \ct{problem with GEOM, local SURF_ID index ... out of bounds.} \> Section~\ref{info:GEOM_Basics}  \\
 702 \> \ct{problem with GEOM, SURF_IDS not defined properly.} \> Section~\ref{info:first_geom}  \\

Manuals/FDS_Verification_Guide/FDS_Verification_Guide.tex

@@ -5141,7 +5141,7 @@ \subsection{Case 8: 2-D Heat Transfer with Temperature-Dependent Conductivity}
 \FloatBarrier
 
 
-\subsection{Case 9: 2-D Heat Transfer in a Composite Section with Temperature-Dependent Conductivity}
+\subsection{Case 9: 2-D Heat Transfer in a Composite Section, Variable Conductivity}
 \label{SFPE_Case_9}
 
 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}).