Solve the following problem:
Q: A spherical shell satellite (3-m-OD, 1.25-cm-wall thickness, made of stainless steel) reenters the atmosphere from outer space. If its original temperature is 38°C, the effective average temperature of the atmosphere is 1093°C, and the effective heat transfer coefficient is 115 W/(m2 °C), estimate the temperature of the shell after reentry, assuming the time of reentry is 10 min and the interior of the shell is evacuated.
GIVEN
A spherical stainless steel satellite reentering the atmosphere
Outside diameter (D) = 3 m
Wall thickness (L) = 1.25 cm = 0.0125 m
Its original temperature (To) = 38°C
The effective temperature of the atmosphere (T?^?) = 1093°C
The effective heat transfer coefficient hc = 115 W/(m2 °C)
The time of reentry (tr) = 10 min = 600 s
The interior of the shell is evacuated
ASSUMPTIONS
Exterior heat transfer is uniform over the shell
Assume radiation heat transfer is allowed for in the heat transfercoefficient
