Question

For a calorically perfect gas, the ratio of stagnation to static temperature depends upon_______

(a) γ

(b) γ , M

(c) M

(d) R, M

This question was addressed to me in examination.

This intriguing question originated from The Basic Normal Shock Equations topic in section Normal Shock Waves of Aerodynamics

Answer 1

The correct answer is (b) γ , M

For explanation: The stagnation and static temperatures for a calorically perfect gas are related with the equation \(\frac {T_0}{T}\)=1+\(\frac {\gamma -1}{2}\)M^2. Thus, it is clearly seen that this ratio depends on the gamma and the Mach number in the medium. It’s a very important relationship.