Calculate the temperature of the external skin of an aeroplane surface. The aeroplane is flying at a height of XXXXXXXXXXm with a velocity of 700 km/h. The air temperature at XXXXXXXXXXm height is −50...

Calculate the temperature of the external skin of an aeroplane surface. The aeroplane is flying at a height of 10 000 m with a velocity of 700 km/h. The air temperature at 10 000 m height is −50 ◦C.

What heat flow per m2 aeroplane surface area is fed from the air conditioning to maintain the internal temperature Ti at 20 ◦C?

Given are the following properties for air: adiabatic exponent κ = 1.4, gas constant R = 0.2872 kJ/kgK. Furthermore, the thermal resistance of the aeroplane skin is λ/δ = 5 m²K/W and the heat transfer coefficient inside is α_i
= 10W/m²K.