An annular aluminum fin of rectangular profile is attached to a circular tube having an outside diameter of 25 mm and a surface temperature of 250°C. The fin is 1 mm thick and 10 mm long, and the temperature and the convection coefficient associated with the adjoining fluid are 25°C and 25W/m2 .K, respectively.
a) What is the heat loss per fin? What is the fin efficiency?
b) If 200 such fins are spaced at 5-mm increments along the tube length, what is the heat loss per meter of tube length?
c) If the tube had no fins, what would be the heat loss per meter of tube length? d) Using this result and that from part (b), what is the "fin array effectiveness"?