Stagnation temperature
= Stagnation temperature
{title2=$T_{\rm stag}$}
The <temperature> reached by bringing a flow to rest adiabatically while converting its <kinetic energy> to enthalpy. For a calorically <perfect gas>, $T_{\rm stag}=T+u^2/(2c_p)=T[1+(\gamma-1)M^2/2]$. It is conserved across an adiabatic normal shock even though <entropy> increases and <stagnation pressure> decreases.