A specific point during the re-entry flight of the Space Shuttle has the following condition: Mach number of 15.93, static pressure of 20 Pa, and static temperature of 245 K. Assuming that air is a calorically perfect gas and that this condition is steady, the energy equation provides the power flux (energy per unit area per unit time) of the free stream incoming gas. (HINT: this is the quantity in the spatial integral terms of the energy equation).
a) Compute the energy equation flux of the gas,
b) Assuming that the projection of the fuselage of the space shuttle is approximately 220 m2 in area at the 45O angle-of-attack of the flight, determine the power (energy per unit time) of the gas impinging on the space shuttle,