A three-dimensional bow shock wave is generated by the Shuttle Orbiter during atmospheric re-entry. However, there is a region where the shock wave is essentially normal tot he freestream flow. The velocity of the shuttle is 7.62 km/s at an altitude of 75.0 km. The freestream temperature and the static pressure at this altitude are 200.15K and 2.5 Pa, respectively. use the normal shock relations to calculate the values of the following parameters downstream of the normal shock wave:
a. static pressure
b. static temperature
c. Mach number
d. stagnation pressure
e. stagnation temperature
f. explain why the temperature predictions are not actually valid
Use can be made of the following normal shock wave relations:
M22 = (γ-1)M12 + 2 / (2γM12 - (γ-1))
P2/P1 = 2γM12 - (γ-1)/(γ+1)
T2/T1 = [[2γM12-(γ-1)](γ-1)M12 +2]/((γ+1)2M12)