Question: A long, metal cylinder with radius of R and the initial temperature of 100°C is suddenly submerged into a large pool of sea water of 5°C:
a) Drive the general format of the transient state temperature profile (i.e. use symbols, not numbers) along the radius of the bar;
b) Plot the cross sectional temperature profile of the cylinder from time = 0 to t = infinity. Assuming the bar is made of iron alloy, R = 10 cm; its density = 8.0 g/cm3; heat conductivity = 80 W/(m*K); and heat capacity = 0.4 J/(g*C).