%% $Date: 2012-07-06 17:42:54#$
%% $Revision: 149 $
\index{velocity\_tas\_cnrm}
\algdesc{True air speed (CNRM)}
{ %%%%%% Algorithm name %%%%%%
velocity\_tas\_cnrm
}
{ %%%%%% Algorithm summary %%%%%%
Calculates true air speed based on static pressure, static temperature and dynamic pressure using the Barr\'e-St Venant formula.  
}
{ %%%%%% Category %%%%%%
Thermodynamics
}
{ %%%%%% Inputs %%%%%%
$T_s$ &	Vector & Static temperature [K] \\
${\Delta}P$ & Vector & Dynamic pressure [hPa] \\
$P_s$ & Vector & Static pressure [hPa] \\
$c_{pa}$ & Coeff. & Specific heat of air at constant pressure (for dry air 1004 J K$^{-1}$ kg$^{-1}$) \\ 
$R_a/c_{pa}$ & Coeff. & Gas constant of air divided by specific heat of air at constant pressure
}
{ %%%%%% Outputs %%%%%%
$V_t$ & Vector & True air speed [m/s]
}
{ %%%%%% Formula %%%%%%
\begin{displaymath}
V_t = \sqrt{2 c_{pa} T_s \left[\left(1+\frac{\Delta P}{P_s}\right)^{R_a/c_{pa}}-1\right]}
\end{displaymath}
}
{ %%%%%% Author %%%%%%
CNRM/GMEI/TRAMM
}
{ %%%%%% References %%%%%% 
NCAR-RAF Bulletin \#23 \cite{NCAR23}, \textit{M\'echanique des fluides}, Candel \cite{Candel} 
}


