An annular fin is used to cool an internal combustion engine. Find a) the total rate of heat…

An annular fin is used to cool an internal combustion
engine. Find a) the total rate of heat transfer from the fin b) fin temperature
at r = rt/2, c) fin effectiveness, defined as the rate of heat loss
from the fin to the rate of heat loss without the fin, and d) fin efficiency,
defined as the rate of heat loss from the fin to the rate of heat loss from the
fin if the entire fin were at the base temperature. The fin is made of
commercial bronze.

Data: rt = 20 cm, rb = 10 cm, fin
thickness = 5 mm, base temperature = 250 C, Tf = 15A C, and h = 100
W/m·K.