diff --git a/Manuals/FDS_Technical_Reference_Guide/Aerosol_Chapter.tex b/Manuals/FDS_Technical_Reference_Guide/Aerosol_Chapter.tex index 4f835f175d2..e1cf0725974 100644 --- a/Manuals/FDS_Technical_Reference_Guide/Aerosol_Chapter.tex +++ b/Manuals/FDS_Technical_Reference_Guide/Aerosol_Chapter.tex @@ -215,7 +215,7 @@ \subsection{Gas Condensation} The total mass evaporated or condensed is added to the bulk mass source terms, $\dot{m}_{{\rm b},\alpha}^{\ppp}$, for the condensed and vapor phase species. The bulk energy source term, $\dot{q}_{\rm b}^{\ppp}$, is taken as the mass source term multiplied by the heat of vaporization, $h_v$ where condensation results in positive energy source term and evaporation results in a negative energy source term. -The contribution to divergence is added to the {\ct D\_SOURCE} term following Eq~(\ref{eq:D_SOURCE_vap}). Since the condensed and vapor phases have the same molecular weight, the first term in the equation is zero. +The contribution to divergence is added to the \ct{D_SOURCE} term following Eq~(\ref{eq:D_SOURCE_vap}). Since the condensed and vapor phases have the same molecular weight, the first term in the equation is zero. For the condensed phase, the radiation absorption is computed following Sec.~\ref{droplet-radiation}. @@ -239,5 +239,5 @@ \subsection{Wall Condensation} \be \dot{q}_{{\rm dep},\alpha}^{\pp} = \dot{m}_{{\rm dep},\alpha}^{\pp} (h_v(T_w)+h_{s,\alpha}(T_g)-h_{s,\alpha}(T_w)) \ee -For the {\ct D\_SOURCE} term only the first term in Eq~(\ref{eq:D_SOURCE_vap}) applies since all the phase change energy comes from the wall cell. +For the \ct{D\_SOURCE} term only the first term in Eq~(\ref{eq:D_SOURCE_vap}) applies since all the phase change energy comes from the wall cell. diff --git a/Manuals/FDS_Technical_Reference_Guide/Combustion_Chapter.tex b/Manuals/FDS_Technical_Reference_Guide/Combustion_Chapter.tex index a4475a25c7d..ff8010d771a 100644 --- a/Manuals/FDS_Technical_Reference_Guide/Combustion_Chapter.tex +++ b/Manuals/FDS_Technical_Reference_Guide/Combustion_Chapter.tex @@ -121,7 +121,7 @@ \subsection{Default Hydrocarbon Combustion Chemistry} \end{tabular} \end{center} -\noindent The preceding table shows that the addition of carbon monoxide and soot increases the number of primitive species in the reaction from five to seven. The number of lumped species, however, remains at three---the composition of Products has changed to include to the two additional species. Note that FDS prints the $A$ matrix in the {\ct CHID.out} file so that the user can double check the reaction system. +\noindent The preceding table shows that the addition of carbon monoxide and soot increases the number of primitive species in the reaction from five to seven. The number of lumped species, however, remains at three---the composition of Products has changed to include to the two additional species. Note that FDS prints the $A$ matrix in the \ct{CHID.out} file so that the user can double check the reaction system. \clearpage @@ -463,7 +463,7 @@ \subsection{Critical Flame Temperature} \subsection{Extinction Based Mainly on Oxygen Concentration} \label{o2_based_model} -The first of two optional extinction models (referred to as {\ct 'EXTINCTION 1'} in the FDS input file) linearizes Eq.~(\ref{YO2eq}) to form a limiting oxygen concentration\footnote{The extinction model is written in terms of the oxygen {\em volume} fraction, $X_\OTWO$, because usually experimental results are reported as such. However, within the numerical algorithm, all values are converted into mass fraction, $Y_\OTWO$.} that is a piecewise-linear function of the cell bulk temperature, $T_{ijk}$ (see Fig.~\ref{extinction_1_sketch}): +The first of two optional extinction models (referred to as \ct{'EXTINCTION 1'} in the FDS input file) linearizes Eq.~(\ref{YO2eq}) to form a limiting oxygen concentration\footnote{The extinction model is written in terms of the oxygen {\em volume} fraction, $X_\OTWO$, because usually experimental results are reported as such. However, within the numerical algorithm, all values are converted into mass fraction, $Y_\OTWO$.} that is a piecewise-linear function of the cell bulk temperature, $T_{ijk}$ (see Fig.~\ref{extinction_1_sketch}): \be X_{\OTWO,\lim}(T_{ijk}) = \left\{ \begin{array}{c@{\quad \quad}l} X_{\OI} \, \left( \frac{T_{\OI}-T_{ijk}}{T_{\OI}-T_\infty} \right) & T_{ijk}