Question

# A high-speed aircraft is cruising in still air How does the temperature of air at the nose of the aircraft duter from the temperature of air at some distance from the aircraft?

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The temperature of air at the nose of the aircraft is $\textbf{greater}$ than the the temperature of air at some distance from the aircraft.

If we assume that the temperature of the air at the some distance from the aircraft is $T$ than the temperature of air at the nose of the aircraft is:

$\begin{equation*} T_0=T+\frac{V^2}{2c_p} \end{equation*}$

where $T$ is static temperature, $V$ is gas velocity and $c_p$ is constant-pressure specific heat.

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