Total Measurements

Total Air Temperature

(1)   \begin{equation*}T_{total} = T_{static} \left( 1 + \frac{\gamma - 1}{2} M^2 \right)\end{equation*}

Total Air Pressure

(2)   \begin{equation*}P_{total} = P_{static} \left( 1 + \frac{\gamma - 1}{2} M^2 \right)^{\frac{\gamma - 1}{\gamma}}\end{equation*}

Total Air Density

(3)   \begin{equation*}\rho_{total} = \rho_{static} \left( 1 + \frac{\gamma - 1}{2} M^2 \right)^{\frac{1}{\gamma - 1}}\end{equation*}