Discuss the below:
Q: One end of a 0.3 m long steel rod is connected to a wall at 204°C. The other end is connected to a wall which is maintained at 93°C. Air is blown across the rod so that a heat transfer coefficient of 17 W/(m2 K) is maintained over the entire surface. If the diameter of the rod is 5 cm and the temperature of the air is 38°C, what is the net rate of heat loss to the air?
GIVEN
A steel rod connected to walls at both ends
Length of rod (L) = 0.3 m
Diameter of the rod (D) = 5 cm = 0.05 m
Wall temperatures: Ts = 204°C TL = 93°C
Heat transfer coefficient ( hc ) = 17 W/(m2 K)
Air temperature (TA = 38°C
ASSUMPTIONS
The wall temperatures are constant
The system is in steady state
The rod is 1% carbon steel
The thermal conductivity of the rod is uniform and not dependent on temperature
One dimensional conduction along the rod
