Discuss the below:
Q: A circumferential fin of rectangular cross section, 3.7 cm OD and 0.3 cm thick surrounds a 2.5 cm diameter tube. The fin is constructed of mild steel. Air blowing over the fin produces a heat transfer coefficient of 28.4 W/(m2 K). If the temperatures of the base of the fin and the air are 260°C and 38°C, respectively, calculate the heat transfer rate from the fin.
GIVEN
A mild steel circumferential fin of a rectangular cross section on a tube
Tube diameter (Dt) = 2.5 cm = 0.025 m
Fin outside diameter (Df) = 3.7 cm = 0.037 m
Fin thickness (t) = 0.3 cm = 0.003 m
Heat transfer coefficient ( hc ) = 28.4 W/(m2 K)
Fin base temperature (Ts) = 260°C
Air temperature (T) = 38°C
ASSUMPTIONS
The system has reached steady state
The mild steel is 1% carbon steel
The thermal conductivity of the steel is uniform
Radial conduction only (temperature is uniform across the cross section of the fin)
The heat transfer from the end of the fin can be accounted for by increasing the length by half the thickness and assuming the end isinsulated
