Q2. (12 marks) As shown in Figure 2, a straight fin with uniform cross section and an active tip is fabricated from a material of thermal conductivity 60 W/m-K, thickness w= 5 mm, and length L=60 mm. It is very wide in the direction normal to the page. The convection heat transfer coefficient is 500 W/mK with an ambient air temperature of T. = 30 C. The base of the fin is maintained at To = 100 C. Air To=30C h = 500 W/m2.K Th = 100 C k = 60 W/mK -w = 5 mm Lx L = 60 mm Figure 2 = (a) Using a finite-difference method with a step size of 20 mm, estimate the temperature distribution within the fin. Comment on the validity of the assumption of one- dimensional conduction. (7 marks) (b) Estimate the fin heat transfer rate per unit length normal to the page based on your results in (a). Compare your result with the 1-D analytical solution obtained from fin equation