In: Mechanical Engineering
A round composite bar is used to conduct heat. It is held at 600K at one end and 1000K at the other end but all other surfaces are insulated. The two end pieces of the bar are Stainless Steel (AISI304), and the middle piece is Copper. The length of each piece of the bar is 0.2m (total length is 0.6m) and the diameter is 0.07m.
A) Change the middle piece of the round bar to stainless steel to make the bar of uniform material. Change the boundary conditions to make this bar a fin with a constant base temperature and with an insulated end. Apply convection at all cylindrical surfaces except the base and the tip. The convection coefficient, h = 50 W/(m2·K), and fluid temperature of T∞ = 300K. Plot the temperature
B) Plot the analytical solution of the temperature distribution for this fin versus the fin length (T vs x). Include your hand calculations.